Questions
What is meant by a “null” hypothesis? How do you test a null hypothesis? What are...

  1. What is meant by a “null” hypothesis?
  2. How do you test a null hypothesis?
  3. What are alternate hypotheses?  
  4. What are p-values?
  5. Explain "significance level."

This is for business statistics

In: Math

An experiment was conducted to see the effectiveness of two antidotes to three different doses of...

An experiment was conducted to see the effectiveness of two antidotes to three different doses of a toxin. The antidote was given to a different sample of participants five minutes after the toxin. Twenty-five minutes later the response was measured as the concentration in the blood. What can the researchers conclude with α = 0.01?

Dose
Antidote 5 10 15
1 0.6
1.1
1.1
2.1
1.5
6.2
3.1
4.1
5.9
2 1.1
1.2
1.1
1.7
1.3
1.5
2.1
3.1
2.1

Compute the corresponding effect size(s) and indicate magnitude(s).
Antidote: η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect
Dose: η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

There is an antidote difference in blood concentration.There is no antidote difference in blood concentration.    

There is a dose difference in blood concentration.There is no dose different in blood concentration.    

There is an antidote by dose interaction in blood concentration.There is no antidote by dose interaction in blood concentration.    

In: Math

A large sports supplier has many stores located world wide. A regression model is to be...

A large sports supplier has many stores located world wide. A regression model is to be constructed to predict the annual revenue of a particular store based upon the population of the city or town where the store is located, the annual expenditure on promotion for the store and the distance of the store to the center of the city.

Data has been collected on 30 randomly selected stores: (AT BOTTOM)

Find the multiple regression equation using all three explanatory variables. Assume that x1 is population, x2 is annual promotional expenditure and x3 is distance to city center. Give your answers to 3 decimal places.

a) y^ = BLANK + BLANK population + BLANK promo. expenditure + BLANK dist. to city

e)The value of R2 for this model, to 3 decimal places, is equal to

f)The value of s for this model, to 3 decimal places, is equal to

g)Construct a new multiple regression model by removing the variable distance to city center. Give your answers to 3 decimal places.

The new regression model equation is:

y^ = + population + promo. expenditure

At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis A) Is B) is not rejected.

c)The explanatory variable that is most correlated with annual revenue is:

population
promotional expenditure
distance to city

d)The explanatory variable that is least correlated with annual revenue is:

population
promotional expenditure
distance to city

H) In the new model compared to the previous one, the value of R2 (to 3 decimal places) is:

increased
decreased
unchanged

i)In the new model compared to the previous one, the value of s (to 3 decimal places) is:

increased
decreased
unchanged

Annual revenue ($)
(× 1000)
Population
(× 1000)
Annual promotional
expenditure ($)
(× 100)
Distance to
city center (mi)
195 124 142 19
104 90 64 9
294 459 138 6
316 667 95 19
228 189 158 18
406 849 74 7
247 284 177 19
204 267 113 19
60 46 100 9
539 918 172 15
575 942 175 8
326 677 90 14
275 479 129 1
470 834 168 1
308 435 129 5
318 475 178 7
512 915 95 18
153 183 173 11
219 266 134 16
443 687 197 15
225 177 184 1
233 192 185 18
303 612 93 5
507 981 93 16
487 923 138 2
432 963 44 17
180 138 165 10
448 820 55 11
461 719 156 10
97 48 115

19

In: Math

Listed in the data table are IQ scores for a random sample of subjects with medium...

Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts. Medium Lead Level 72 94 92 85 87 97 83 92 104 111 91 High Lead Level n2 = 11 x bar2 = 89.345 s2 = 10.173

The test statistic is

nothing.

​(Round to two decimal places as​ needed.)The​ P-value is

nothing.

​(Round to three decimal places as​ needed.)

State the conclusion for the test.

A.

Fail to rejectFail to reject

the null hypothesis. There

is notis not

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

B.

RejectReject

the null hypothesis. There

isis

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

C.

Fail to rejectFail to reject

the null hypothesis. There

isis

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

D.

RejectReject

the null hypothesis. There

is notis not

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

b. Construct a confidence interval suitable for testing the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels.

nothingless than<mu 1μ1minus−mu 2μ2less than<nothing

​(Round to two decimal places as​ needed.)

Does the confidence interval support the conclusion of the​ test?

No,

Yes,

because the confidence interval contains

zero.

only positive values.

only negative values.

Click to select your answer(s).

In: Math

Given an approximately normal distribution with a mean of 175 and a standard deviation of 37....

Given an approximately normal distribution with a mean of 175 and a standard deviation of 37.

(a) What percent of values outside the interval (138, 212)?

(b) What percent of values are outside the interval (101, 249)?

(c) What percent of values are outside the interval (64, 286)?

In: Math

(Use Excel or R) Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,”...

(Use Excel or R)

Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. Production data (in dune buggies/hour) for the last eight hours are as follows.

Razor Blazer Tracer
11 10 9
10 8 9
8 11 10
10 9 9
9 9 8
9 10 7
13 13 8
11 8 9

a. Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines.

  • H0: μRazor = μBlazer = μTracer. HA: Not all population means are equal.

  • H0: μRazorμBlazerμTracer. HA: Not all population means are equal.

  • H0: μRazorμBlazerμTracer. HA: Not all population means are equal.

b-1. Construct an ANOVA table. Assume production rates are normally distributed. (Round "Sum Sq" to 2 decimal places, "Mean Sq" and "F value" to 3, and "p-value" to 4 decimal places.)

b-2. At the 5% significance level, what is the conclusion to the test?

b-3. What about the 10% significance level?

In: Math

In the reactor safety study, the failure rate of a diesel generator can be described as...

In the reactor safety study, the failure rate of a diesel generator can be described as having a lognormal distribution with the upper and lower 90 % bounds of 3x10^-2 and 3x10^-4, respectively. a) Determine prior distribution in lognormal distribution. b) The given nuclear plant experiences 2 failures in 8,760 hours of operation. Determine the posterior distribution based on Poisson distribution. c) Determine the upper and lower 90 % bounds given this plant experience. (Consider the reactor safety study values as prior information.

In: Math

Required Words: 400 Required Collection of consumer price index of different countries for analysis

Required Words: 400

Required

Collection of consumer price index of different countries for analysis

In: Math

A recent survey reported that 63% of​ 18- to​ 29-year-olds in a certain country own tablets....

A recent survey reported that 63% of​ 18- to​ 29-year-olds in a certain country own tablets. Using the binomial​ distribution, complete parts​ (a) through​ (e) below.

?: .52 ?=6

a. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, four will own a​ tablet?

The probability is ____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

b. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, all six will own a​ tablet?

The probability is ____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

c. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, at least four will own a​ tablet?

The probability is ____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

d. What are the mean and standard deviation of the number of​ 18- to​29-year-olds who will own a tablet in a survey of​ six?

The mean number of​ 18- to​ 29-year-olds who own tablets out of six surveyed is _____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

The standard deviation of the number of​ 18- to​ 29-year-olds who own tablets out of six surveyed is

nothing.

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

In: Math

Use the following information to answer the next questions: A five-sided die is rolled 100 times....

Use the following information to answer the next questions: A five-sided die is rolled 100 times. Conduct a hypothesis test to determine if the die is fair. Use a 5% level of significance.
Observed Rolls: One=10; Two=29; Three=16, Four=15, Five=30
Expected Rolls: All the categories of rolls are the same

What test are you running?

What is the observed values of one for the rolled die?

What is the observed values of two for the rolled die?

What is the observed values of three for the rolled die?

What is the observed values of four for the rolled die?

What is the observed values of five for the rolled die?

What is the expected values of one,two,three,four,five for the rolled die?

What are the degrees of freedom?

What is the null hypothesis?

What is the alternative hypothesis?

What is the test statistic? Use one decimal place.

What is the p-value? Use three decimal places.

What is your conclusion based on the p-value and the level of significance?

At the 5% significance level, what can you conclude?

In: Math

When 75 patients were randomly selected, the mean length of wait time was found to be...

When 75 patients were randomly selected, the mean length of wait time was found to be 28 days and the standard deviation was 5.6 days. Because of waiting issues, wait times would slightly go up. What would be the steps to test the claim that wait times have a mean of LESS THAN 38 days if you used a 0.05 significance level?

In: Math

An experiment was conducted to see the effectiveness of two antidotes to three different doses of...

An experiment was conducted to see the effectiveness of two antidotes to three different doses of a toxin. The antidote was given to a different sample of participants five minutes after the toxin. Twenty-five minutes later the response was measured as the concentration in the blood. What can the researchers conclude with α = 0.01?

Dose
Antidote 5 10 15
1 0.6
1.1
1.1
2.1
1.5
6.2
3.1
4.1
5.9
2 1.1
1.2
1.1
1.7
1.3
1.5
2.1
3.1
2.1



a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H0.
Antidote: critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

Dose: critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

In: Math

a team of educational researchers want to assess the learning outcomes of courses that are offered...

a team of educational researchers want to assess the learning outcomes of courses that are offered in traditional face-to-face classroom as compare with online sections. section 1 (traditional classroom) consisted 101 students and section 2 (online class) were 105 students. At the end of the semester the researchers measured achievement scores. students in section 1 had an average of 85 with standard deviation of 6.5 and section 2 (online) earned an average of 78.0 with standard deviation of 9.5. is there a significant difference between the traditional and online class outcomes? at 95% level, apply five-step hypothesis testing and interpret the result.

In: Math

Suppose the average female brain size (in cubic centimeters) is estimated to be 3370cubic centimeters. A...

Suppose the average female brain size (in cubic centimeters) is estimated to be 3370cubic centimeters. A 1905 study by R.J. Gladstone measured the brain size of 103randomly selected deceased female subjects. The data provided show the brain sizes of each of the subjects.

Click to download the data in your preferred format.

Excel:

Size..cm.3.
2857
3436
3791
3302
3104
3171
3572
3530
3175
3438
3903
3899
3401
3267
3451
3090
3413
3323
3680
3439
3853
3156
3279
3707
4006
3269
3071
3779
3548
3292
3497
3082
3248
3358
3803
3566
3145
3503
3571
3724
3615
3203
3609
3561
3979
3533
3689
3158
4005
3181
3479
3642
3632
3069
3394
3703
3165
3354
3000
3687
3556
2773
3058
3344
3493
3297
3360
3228
3277
3851
3067
3692
3402
3995
3318
2720
2937
3580
2939
2989
3586
3156
3246
3170
3268
3389
3381
2864
3740
3479
3647
3716
3284
4204
3735
3218
3685
3704
3214
3394
3233
3352

3391

Conduct a t‑test at the α=0.05 level to test his claim. What are the t‑statistic and P-value for this test? Please round your answers to the nearest three decimal places.

t = ?

P = ?

In: Math

problem 08-23 Algo (Using Regression Analysis for Forecasting Quarter:1,2,3,4 year 1: 2,0,5,5 year 2: 5,2,8,8 year...

problem 08-23 Algo (Using Regression Analysis for Forecasting

Quarter:1,2,3,4

year 1: 2,0,5,5

year 2: 5,2,8,8

year 3: 7,6,10,10

Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise.
If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) If the constant is "1" it must be entered in the box. Do not round intermediate calculation.
ŷ =   +   Qtr1 +   Qtr2 +   Qtr3
(c) Compute the quarterly forecasts for next year based on the model you developed in part (b).
If required, round your answers to three decimal places. Do not round intermediate calculation.
Year Quarter Ft
4 1
4 2
4 3
4 4
(d) Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,… t = 12 for Quarter 4 in Year 3.
If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
ŷ =   +  Qtr1 +  Qtr2 +  Qtr3 +   t
(e) Compute the quarterly forecasts for next year based on the model you developed in part (d).
Do not round your interim computations and round your final answer to three decimal places.
Year Quarter Period Ft
4 1 13
4 2 14
4 3 15
4 4 16
(f) Is the model you developed in part (b) or the model you developed in part (d) more effective?
If required, round your intermediate calculations and final answer to three decimal places.
Model developed in part (b) Model developed in part (d)
MSE

Can you please show me how to step up excel spreadsheet for this problem. How to figure out the problems on this question.

In: Math