Questions
A researcher wants to determine the impact of soil type on the growth of a certain...

A researcher wants to determine the impact of soil type on the growth of a certain type of plant. She grows three plants in each of four different types of soil and measures the growth in inches for each plant after one month resulting in the data below.

Inches

Soil

12.2

1

12.8

1

11.9

1

10.8

2

12.2

2

12.3

2

9.3

3

9.9

3

10.8

3

13

4

11.8

4

11.9

4

a) What null hypothesis is the researcher testing if she runs an ANOVA with this data?

The mean growth of the plant is different in each type of soil.

The variability in growth of the plant in each type of soil is the same.    

The mean growth of the plant in each type of soil is the same.

One type of soil has a higher mean growth for the plant than the others.

Soil 3 provides a lower mean growth for the plant than the other types of soil.



b) What is the SStrt for the ANOVA? Give your answer to at least three decimal places.  

c) What is DFerr for the ANOVA?  

d) What is the value of the F statistic for the ANOVA? Give your answer to at least three decimal places.  
e) Using a 0.1 level of significance, what conclusion should the researcher reach?

There is not enough evidence to reject the claim that the mean growth of the plant is the same in each type of soil.

Soil 3 has a lower mean growth for the plant than the other types of soil.    

Soil 1 has a higher mean growth for the plant than the other types of soil.

The mean growth of the plant is not the same for all soil types.

In: Math

A marketing research firm wishes to study the relationship between wine consumption and whether a person...

A marketing research firm wishes to study the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained:

Watch
Tennis
Do Not
Watch Tennis
Totals
Drink Wine 10 36 46
Do Not Drink Wine 10 44 54
Totals 20 80 100

(a) For each row and column total, calculate the corresponding row or column percentage.

Row 1 %
Row 2 %
Column 1 %
Column 2 %

  
(b) For each cell, calculate the corresponding cell, row, and column percentages. (Round your answers to the nearest whole number.)

Watch
Tennis
Do Not
Watch Tennis
Drink Wine Cell= % Cell= %
Row= % Row= %
Column= % Column= %
Do Not Drink Wine Cell= % Cell= %
Row= % Row= %
Column= % Column= %

(c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set α = .05. (Round your answer to 3 decimal places.)

χ2χ2 =          

In: Math

An advertising executive claims that there is a difference in the mean household income for credit...

An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold. A random survey of 8 Visa Gold cardholders resulted in a mean household income of $78,320 with a standard deviation of $11,100. A random survey of 12 MasterCard Gold cardholders resulted in a mean household income of $68,070 with a standard deviation of $10,700. Is there enough evidence to support the executive's claim? Let μ1 be the true mean household income for Visa Gold cardholders and μ2 be the true mean household income for MasterCard Gold cardholders. Use a significance level of α=0.05α=0.05 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0H0. Round your answer to three decimal places.

Step 4 of 4: State the test's conclusion.

....reject null hypothesis...fail to reject null hypothesis

In: Math

(1) Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach†...

(1) Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 488 five-syllable sequences from this manuscript showed that 128 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use α = 0.01.

(a) What is the level of significance? _________

(b) What is the value of the sample test statistic? (Round your answer to two decimal places.) ________

(c) Find the P-value of the test statistic. (Round your answer to four decimal places.) ________

(2) Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and sometimes the identity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). Syllables were categorized as long or short. On analyzing Plato's Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and three are long. Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato's time (about 427 - 347 B.C.). A random sample of 316 five-syllable sequences from the newly discovered manuscript showed that 61 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) from the text of Plato's Republic? Use α = 0.01.

(a) What is the level of significance? _____________

(b) What is the value of the sample test statistic? (Round your answer to two decimal places.)

(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

In: Math

Let X and Y have the joint pdf f(x, y) = 8xy, 0 ≤ x ≤...

Let X and Y have the joint pdf f(x, y) = 8xy, 0 ≤ x ≤ y ≤ 1. (i) Find the conditional means of X given Y, and Y given X. (ii) Find the conditional variance of X given Y. (iii) Find the correlation coefficient between X and Y.

In: Math

3. Take the mean and standard deviation of data set A calculated in problem 1 and...

3. Take the mean and standard deviation of data set A calculated in problem 1 and assume that they are population parameters (μ and σ) known for the variable fish length in a population of rainbow trouts in the Coldwater River. Imagine that data set B is a sample obtained from a different population in Red River (Chapter 6 problem!). a) Conduct a hypothesis test to see if the mean fish length in the Red River population is different from the population in Coldwater River. b) Conduct a hypothesis test to see if the variance in fish length is different in the Red River population compared to the variance in the Coldwater population.

• Data set A: total= 677.98, mean= 67.798, n= 10, variance= 0.663084, std devition= 0.814299972

• Data set B: total= 574.24, mean=71.78, n=8, variance= 0.727143, std devition= 0.852726719

 Do not use excel function for p value.  Show all your work

In: Math

QUESTION 7 The Federal Reserve Board of Governors recently changed the reporting of its stance on...

QUESTION 7

  1. The Federal Reserve Board of Governors recently changed the reporting of its stance on monetary policy from what they termed a "policy bias" to a "balance of risks". A researcher wished to see whether there had been a change in the way financial analysts were interpreting the change in reporting. When the "policy bias" reporting method was used, it was known that only 35% of the Board's decisions were correctly anticipated by analysts in their reports. For the "balance of risks" method, the researcher took a random sample of 56 analysts' reports and found that 26 of these correctly anticipated the Board's decision. Assume that the test is to be carried out at the 10% level.

    1. State the direction of the alternative hypothesis used to test whether the proportion of analysts correctly anticipating the Board's decision had changed. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box.
    2. Calculate the test statistic, reporting your answer to two decimal places.
    3. Use the tables in the textbook to determine the p-value for the test (answer to 4 decimal places)
    4. Is the null hypothesis rejected for this test? Type yes or no.
    5. Disregarding your answer for 4, if the null hypothesis was rejected at the 10% level, would the predictive accuracy of the claims in analysts' reports appear to have changed under the new system? Type yes or no.

In: Math

Refer to the Baseball 2016 data, which reports information on the 2016 Major League Baseball season....

Refer to the Baseball 2016 data, which reports information on the 2016 Major League Baseball season. Let attendance be the dependent variable and total team salary be the independent variable. Determine the regression equation and answer the following questions.

Draw a scatter diagram. From the diagram, does there seem to be a direct relationship between the two variables?

What is the expected attendance for a team with a salary of $100.0 million?

If the owners pay an additional $30 million, how many more people could they expect to attend?

At the .05 significance level, can we conclude that the slope of the regression line is positive? Conduct the appropriate test of hypothesis.

What percentage of the variation in attendance is accounted for by salary?

Determine the correlation between attendance and team batting average and between attendance and team ERA. Which is stronger? Conduct an appropriate test of hypothesis for each set of variables.

Show all work in Excel

Team League Year Opened Team Salary Attendance Wins ERA BA HR Year Average salary
Arizona National 1998 65.80 2080145 79 4.04 0.264 154 2000 1988034
Atlanta National 1996 89.60 2001392 67 4.41 0.251 100 2001 2264403
Baltimore American 1992 118.90 2281202 81 4.05 0.250 217 2002 2383235
Boston American 1912 168.70 2880694 78 4.31 0.265 161 2003 2555476
Chicago Cubs National 1914 117.20 2959812 97 3.36 0.244 171 2004 2486609
Chicago Sox American 1991 110.70 1755810 76 3.98 0.250 136 2005 2632655
Cincinnati National 2003 117.70 2419506 64 4.33 0.248 167 2006 2866544
Cleveland American 1994 87.70 1388905 81 3.67 0.256 141 2007 2944556
Colorado National 1995 98.30 2506789 68 5.04 0.265 186 2008 3154845
Detroit American 2000 172.80 2726048 74 4.64 0.270 151 2009 3240206
Houston American 2000 69.10 2153585 86 3.57 0.250 230 2010 3297828
Kansas City American 1973 112.90 2708549 95 3.73 0.269 139 2011 3305393
LA Angels American 1966 146.40 3012765 85 3.94 0.246 176 2012 3440000
LA Dodgers National 1962 230.40 3764815 92 3.44 0.250 187 2013 3650000
Miami National 2012 84.60 1752235 71 4.02 0.260 120 2014 3950000
Milwaukee National 2001 98.70 2542558 68 4.28 0.251 145 2015 4250000
Minnesota American 2010 108.30 2220054 83 4.07 0.247 156
NY Mets National 2009 100.10 2569753 90 3.43 0.244 177
NY Yankees American 2009 213.50 3193795 87 4.05 0.251 212
Oakland American 1966 80.80 1768175 68 4.14 0.251 146
Philadelphia National 2004 133.00 1831080 63 4.69 0.249 130
Pittsburgh National 2001 85.90 2498596 98 3.21 0.260 140
San Diego National 2004 126.60 2459742 74 4.09 0.243 148
San Francisco National 2000 166.50 3375882 84 3.72 0.267 136
Seattle American 1999 123.20 2193581 76 4.16 0.249 198
St. Louis National 2006 120.30 3520889 100 2.94 0.253 137
Tampa Bay American 1990 74.80 1287054 80 3.74 0.252 167
Texas American 1994 144.80 2491875 88 4.24 0.257 172
Toronto American 1989 116.40 2794891 93 3.8 0.269 232
Washington National 2008 174.50 2619843 83 3.62 0.251 177

In: Math

Carleton Chemical claims that they can produce an average of more than 800 tons of meladone...

Carleton Chemical claims that they can produce an average of more than 800 tons of meladone
per week. A random sample of 36 weeks of production yielded a sample mean of 823 tons, with
a standard deviation of 79.8 tons.

Does the sample data provide sufficient evidence to support the claim
made by Carleton Chemical?   Use a significance level of α = .05.

In: Math

1. What is the z-score associated with the 75th percentile? 2. What z-scores bound the middle...

1. What is the z-score associated with the 75th percentile?

2. What z-scores bound the middle 50% of a normal distribution?

3. What z-score has 10% of the distribution above it?

4. What z-score has 20% of the distribution below it?

5. Reading comprehension scores for junior high students are normally distributed with a mean of80.0 and a standard deviation of 5.0.
a. What percent of students have scores greater than 87.5?

b. What percent of students have scores between 75 and 85

In: Math

The New Jersey Department of Public Health offers psychological support programs for substance abuse patients with...

The New Jersey Department of Public Health offers psychological support programs for substance abuse patients with depression. It is suggested that the type of depression varies by the type of substance abuse. If so, such a relationship might help the department better target treatments. They random sample 75 medically declared substance abusers with depression. (C15PROB7.SAV) (χ2 = 5.12, p=.077; V=0.26; Lambdarow= 0.11, p > .05

Substance Abuse Clinical Dysthymic Manic
Alcohol 20 10 8
Drugs 10 15 12

Select and justify the best test(s). The chi-square, Phi, Yates, or Lambda (or even a combination) might be best for a problem given the data and research question. Do not assume the independent is always on the row.

 Provide the null and alternative hypotheses in formal and plain language for the appropriate test at the 0.05 significance level.

 Do the math and reject/retain null at a=.05. State your critical value.

 Explain the results in plain language.

In: Math

A researcher wishes to determine whether there is a significant relationship between the gender of psychology...

A researcher wishes to determine whether there is a significant relationship between the gender of psychology students and the refreshment drink they prefer. The results obtained from a survey of students are presented in the following table: Preferred Drink Gender Water Coffee Soda Total Male 46 29 40 115 Female 29 36 70 135 Total 75 65 110 250.

Perform an appropriate two-tailed hypothesis test at α = 0.05. If a significant result is obtained, determine the strength of the relationship. Show all four decision making steps. (20)

In: Math

Determine the sample size n needed to construct a 90​% confidence interval to estimate the population...

Determine the sample size n needed to construct a 90​% confidence interval to estimate the population proportion for the following sample proportions when the margin of error equals 8​%.

a. p over bar equals 0.10

b. p over bar equals 0.20

c. p over bar equals 0.30

Click the icon to view a table of standard normal cumulative probabilities.

In: Math

At a university the historical mean of scholarship examination scores for freshman applications is 800. A...

At a university the historical mean of scholarship examination scores for freshman applications is 800. A historical population standard deviation  σ = 150 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.

(a) State the hypotheses.

(b) What is the 95% confidence interval estimate of the population mean examination score if a sample of 90 applications provided a sample mean x = 834?

(c) Use the confidence interval to conduct a hypothesis test. Using  α = 0.05,  what is your conclusion?

(d) What is the test statistic? What is the p-value?

In: Math

Refer to the Lincolnville School District bus data. Conduct a test of hypothesis to reveal whether...

Refer to the Lincolnville School District bus data.

Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufacturers. Use the .01 significance level.

Conduct a test of hypothesis to determine whether the mean miles traveled since the last maintenance is equal for each bus manufacturer. Use the .05 significance level.

Show work in Excel.

ID Manufacturer Engine Type Engine Type (0=diesel) Capacity Maintenance cost Age Odometer Miles Miles
122 Bluebird Gasoline 1 55 9394 10 116580 11967
279 Bluebird Diesel 0 55 1008 2 22672 11925
500 Bluebird Gasoline 1 55 5329 5 50765 11922
520 Bluebird Diesel 0 55 4794 10 119130 11896
714 Bluebird Diesel 0 42 3742 7 73703 11837
875 Bluebird Diesel 0 55 4376 9 97947 11814
600 Bluebird Diesel 0 55 4832 10 119860 11800
953 Bluebird Diesel 0 55 5160 10 117700 11798
101 Bluebird Diesel 0 55 1955 4 41096 11789
358 Bluebird Diesel 0 55 2775 6 70086 11782
29 Bluebird Gasoline 1 55 5352 6 69438 11781
686 Bluebird Diesel 0 55 1569 3 34674 11757
887 Bluebird Diesel 0 55 3743 8 93672 11704
464 Bluebird Gasoline 1 55 2540 3 34530 11698
43 Bluebird Gasoline 1 55 8263 9 102969 11615
704 Bluebird Diesel 0 55 4218 8 83424 11610
814 Bluebird Diesel 0 55 2028 4 40824 11576
39 Bluebird Gasoline 1 55 5821 6 69444 11533
699 Bluebird Gasoline 1 55 9069 9 98307 11518
75 Bluebird Diesel 0 55 3011 6 71970 11462
982 Bluebird Diesel 0 55 505 1 10276 11359
321 Bluebird Diesel 0 42 2732 6 70122 11358
884 Bluebird Diesel 0 55 4364 9 92457 11231
57 Bluebird Diesel 0 55 3190 7 79240 11222
731 Bluebird Diesel 0 42 3213 6 68526 11168
135 Bluebird Diesel 0 55 3560 7 76426 11127
692 Bluebird Diesel 0 55 3770 8 93248 11048
200 Bluebird Diesel 0 55 5168 10 103700 11018
540 Bluebird Gasoline 1 55 3656 4 45284 10945
660 Bluebird Gasoline 1 55 6213 6 64434 10911
482 Bluebird Gasoline 1 55 10575 10 116534 10802
984 Bluebird Diesel 0 55 3809 8 87664 10760
977 Bluebird Diesel 0 55 3769 7 79422 10759
326 Bluebird Diesel 0 55 4563 9 107343 10724
554 Bluebird Diesel 0 42 1826 4 44604 10662
695 Bluebird Diesel 0 55 1061 2 23152 10633
861 Bluebird Gasoline 1 55 9669 10 106040 10551
883 Bluebird Gasoline 1 55 1881 2 20742 10344
954 Bluebird Diesel 0 42 5284 10 101000 10235
768 Bluebird Diesel 0 42 3173 7 71778 10227
490 Bluebird Gasoline 1 55 10133 10 106240 10210
725 Bluebird Diesel 0 55 2356 5 57065 10209
507 Bluebird Diesel 0 55 3690 7 72849 10095
40 Bluebird Gasoline 1 55 9573 10 118470 10081
918 Bluebird Diesel 0 55 2470 5 53620 10075
387 Bluebird Gasoline 1 55 6863 8 89960 10055
418 Bluebird Diesel 0 55 4513 9 104715 10000
10 Keiser Gasoline 1 14 4646 5 54375 11973
751 Keiser Diesel 0 14 1078 2 22444 11948
759 Keiser Diesel 0 55 3952 8 87872 11883
365 Keiser Diesel 0 55 3065 6 63384 11778
162 Keiser Gasoline 1 55 3143 3 31266 11758
370 Keiser Gasoline 1 55 7766 8 86528 11707
948 Keiser Diesel 0 42 4342 9 97956 11691
678 Keiser Diesel 0 55 3361 7 75229 11668
481 Keiser Gasoline 1 6 3097 3 34362 11662
693 Keiser Gasoline 1 55 9193 9 101889 11461
989 Keiser Diesel 0 55 4795 9 106605 11418
724 Keiser Diesel 0 42 3754 8 91968 11344
732 Keiser Diesel 0 42 4640 9 101196 11342
880 Keiser Gasoline 1 55 8410 9 97065 11336
61 Keiser Diesel 0 55 4139 9 103536 11148
754 Keiser Diesel 0 14 7380 14 146860 11003
353 Keiser Gasoline 1 55 4279 4 45744 10902
705 Keiser Diesel 0 42 2152 4 47596 10755
767 Keiser Diesel 0 55 2985 6 71538 10726
120 Keiser Diesel 0 42 4723 10 110320 10674
9 Keiser Gasoline 1 55 3527 4 46848 10591
603 Keiser Diesel 0 14 2116 4 44384 10518
427 Keiser Gasoline 1 55 6927 7 73423 10355
45 Keiser Diesel 0 55 3124 6 60102 10167
38 Keiser Gasoline 1 14 5976 6 61662 10140
396 Thompson Diesel 0 14 1072 2 21858 11969
193 Thompson Diesel 0 14 5922 11 128711 11248
833 Thompson Diesel 0 14 3920 8 90968 11112
671 Thompson Gasoline 1 14 6733 8 89792 11100
398 Thompson Diesel 0 6 4752 9 95922 10802
156 Thompson Diesel 0 14 6212 12 140460 10473
168 Thompson Gasoline 1 14 7004 7 83006 10315
314 Thompson Diesel 0 6 5408 11 128117 10128

In: Math