There are 3 SPSS outputs in this homework assignment. The questions for each output are listed below. Please type your answers into this word document and submit it as an attachment in the assignment tab.
Q1. Researchers were interested in determining whether background music helped or hindered students’ performance on a math test. Students were randomly assigned to 1 of 3 groups: 1) no music; 2) music only; and 3) music with lyrics. Students were then given a math exam, scores which could range from 0 to 100.
N 
Mean 
Std. Deviation 
Std. Error 
95% Confidence Interval for Mean 

Lower Bound 
Upper Bound 

No music 
250 
77.59 
13.055 
.826 
75.96 
79.21 
Music only 
250 
78.10 
13.357 
.845 
76.44 
79.77 
Music and lyrics 
250 
78.97 
13.263 
.839 
77.32 
80.62 
Total 
750 
78.22 
13.221 
.483 
77.27 
79.17 
ANOVA 

minutes 

Sum of Squares 
df 
Mean Square 
F 
Sig. 

Between Groups 
244.595 
2 
122.297 
.699 
.497 
Within Groups 
130668.664 
747 
174.925 

Total 
130913.259 
749 
In: Math
2. An experiment was conducted by a physiologist to determine whether exercise improves the human immune system. Thirty subjects volunteered to participate in the study. The amount of immunoglobulin known as IgG (an indicator of longterm immunity) and the maximal oxygen uptake (a measure of aerobic fitness level) were recorded for each subject. The data can be found in the file marked AEROBIC. You will need to use the Data Analysis  Regression Function for this problem, as well as some graphing functions.
a. Construct a scattergram for the IgGmaximal oxygen uptake data.
b. Hypothesize a probabilistic model relating IgG to maximal oxygen uptake.
c. Fit the model to the data. Is there sufficient evidence to indicate that the model provides information for the prediction of IgG, y? Test using α = .05.
d. Does a secondorder term contribute information for the prediction of y? Test using α = .05.
Subject  IgG  Max Oxy 
1  881  34.6 
2  1290  45.0 
3  2147  62.3 
4  1909  58.9 
5  1282  42.5 
6  1530  44.3 
7  2067  67.9 
8  1982  58.5 
9  1019  35.6 
10  1651  49.6 
11  752  33.0 
12  1687  52.0 
13  1782  61.4 
14  1529  50.2 
15  969  34.1 
16  1660  52.5 
17  2121  69.9 
18  1382  38.8 
19  1714  50.6 
20  1959  69.4 
21  1158  37.4 
22  965  35.1 
23  1456  43.0 
24  1273  44.1 
25  1418  49.8 
26  1743  54.4 
27  1997  68.5 
28  2177  69.5 
29  1965  63.0 
30  1264  43.2 
In: Math
Use the table below to answer questions 4.5 – 4.7: This table contains the same client data as the first table. This time, though, the instructor is interested in knowing how his clients’ other activities might impact their average cycling speed in spin class. He notes that half of his clients also ride bikes outside during the week, while the other half of his clients do not bike anywhere except spin class.
Rides Outside 
Only Spin  Rides Outside  Only SPin  Rides outside  only spin 

20  15  
17  17  
18  19  
22  17  
21  17  
18  16  
17  18 
Average Speed M = 19 M = 17
4.5 Calculate SS for each sample of spin class clients (the portion who ride outside and the portion who only do spin class). Show Work by inserting numbers into the table to show intermediate steps Rides Outside SS = Only Spin Class SS =
4.6 Calculate s for each group Rides Outside s = Only Spin Class s =
4.7 Based on the statistics you have computed, does there appear to be any difference in average speed between those who bike outside and those who only bike during spin class?
Explain why or why not?
In: Math
Plot  Nutrients added  # of species 
1  0  36 
2  0  36 
3  0  32 
4  1  34 
5  2  33 
6  3  30 
7  1  20 
8  3  23 
9  4  21 
10  4  16 
What effect do nutrient additions have on plant species diversity? Longterm experiments at the Rothamstead Experimental Station in the U.K. sought to investigate the relationship, with some interesting findings.
The data can be found in the linked Google Sheets
document  you'll want to copy it to Excel and use the
Data Analysis ToolPak.
1) Produce a scatter plot of the data (click here for a generic
youtube video on creating a scatter plot from excel data  this is
for informational purposes only  it's not your data)
2) Add the leastsquares regression line to your scatter plot. (click here for a generic youtube video on adding trendlines to scatter plots  this is for informational purposes only  it's not your data)
3) Test the hypothesis of no treatment effect on the number of plant species.
In: Math
A physician with a practice is currently serving 280 patients. The physician would like to administer a survey to his patients to measure their satisfaction level with his practice. A random sample of 22 patients had an average satisfaction score of 8.3 on a scale of 110. The sample standard deviation was 1.3 . Complete parts a and b below. a. Construct a 99% confidence interval to estimate the average satisfaction score for the physician's practice. The 99% confidence interval to estimate the average satisfaction score is left parenthesis nothing comma nothing right parenthesis . (Round to two decimal places as needed.)
In: Math
Recent incidents of food contamination have caused great concern among consumers. An article reported that 39 of 80 randomly selected Brand A brand chickens tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of foodborne disease, whereas 62 of 80 Brand B brand chickens tested positive.
a)Does it appear that the true proportion of noncontaminated Brand A chickens differs from that for Brand B? Carry out a test of hypotheses using a significance level 0.01. (Use p_{1} for Brand A and p_{2} for Brand B.)
Calculate the test statistic and Pvalue. (Round your test statistic to two decimal places and your Pvalue to four decimal places.)
z= Pvalue =
b)if the true proportions of noncontaminated chickens for the Brand A and Brand B are 0.50 and 0.25, respectively, how likely is it that the null hypothesis of equal proportions will be rejected when a 0.01 significance level is used and the sample sizes are both 60? (Round your answer to four decimal places.)
In: Math
A supermarket is trying to decide whether to accept or reject a shipment of tomatoes. It is impossible to check all the tomatoes for size, but they desire an average weight of 8 ounces (they neither want too large nor too small).
(a) State the hypotheses.
(b) A random sample of 25 tomatoes yields an average weight of 7.65 ounces and a standard
deviation of 1.15 ounces. Calculate the test statistic and the pvalue.
(c) Would you reject H0, or fail to reject H0 at 5% level of significance?
(d) Should the supermarket reject the shipment? Explain.
(e) To what type of error are you subject to?
In: Math
Collect data from 30 people from your work, school, neighborhood, family, or other group. Ask a quantitative question, such as, “How many pets do you have?” or “How many college classes have you taken?” Explain your population, sample, and sampling method and what level of measurement your data is (nominal, ordinal, interval, or ratio). Use technology ( Excel) to create a Histogram of your data and explain the shape of the distribution (bellshaped, uniform, rightskewed, or leftskewed) and possible reasons why the distribution is this shape. Explain the importance of this data, what you find interesting about the data, and why the public should know. Look up a newspaper, epub, or journal article that confirms or denies the results of your small study.
Please explain briefly.
In: Math
7. A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 286 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 12% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below.
a. Is the test twotailed, lefttailed, or righttailed?
Right tailed test
Lefttailed test
Twotailed test
b. What is the test statistic?
Z=
(Round to two decimal places as needed.)
c. What is the Pvalue?
Pvalue=______
(Round to four decimal places as needed.)
d. What is the null hypothesis, and what do you conclude about it?
Identify the null hypothesis.
A:Ho<0.09
B:Ho>0.09
C:Ho:p≠0.09
D:Ho:p=0.09
Decide whether to reject the null hypothesis. Choose the correct answer below.
A.Reject the null hypothesis because the Pvalue is greater than the significance level, alpha.
B.Reject the null hypothesis because the Pvalue is less than or equal to the significance level, alpha.
C.Fail to reject the null hypothesis because the Pvalue is greater than the significance level, alpha.
D.Fail to reject the null hypothesis because the Pvalue is less than or equal to the significance level, alpha.
e. What is the final conclusion?
A.There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
B.There is not sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
C.There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
D.There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
In: Math
Suppose μ_{1} and μ_{2} are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8,x = 115.8, s_{1} = 5.06, n = 8, y = 129.5, and s_{2} = 5.35. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.)
In: Math
A machine that is programmed to package 3.90 pounds of cereal is being tested for its accuracy. In a sample of 64 cereal boxes, the sample mean filling weight is calculated as 3.95 pounds. The population standard deviation is known to be 0.14 pound. [You may find it useful to reference the z table.]
a1. Identify the relevant parameter of interest for these quantitative data.
The parameter of interest is the average filling weight of all
cereal packages.
The parameter of interest is the proportion filling weight of all
cereal packages.
a2. Compute its point estimate as well as the margin of error with 90% confidence. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answers to 2 decimal places.)
b1. Calculate the 90% confidence interval. (Use rounded margin of error. Round your final answers to 2 decimal places.)
b2. Can we conclude that the packaging machine is operating improperly?
No, since the confidence interval contains the target filling
weight of 3.90.
No, since the confidence interval does not contain the target
filling weight of 3.90.
Yes, since the confidence interval contains the target filling
weight of 3.90.
Yes, since the confidence interval does not contain the target
filling weight of 3.90.
c. How large a sample must we take if we want the margin of error to be at most 0.02 pound with 90% confidence? (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and round up your final answer to the next whole number.)
In: Math
Problem 1
The dependent variable is assumed to be values of a land.
a) Use the Excel regression tool to do the linear regression, and provide the
“Line Fit Plots” (which is provided in the regression interface). (5 points)
b) What can the plot tell you? E.g., does it show that the fitting is good?
(5 points)
c) Now check the output.
c.1) What is the standard error of the estimate of the slope? (5 points)
c.2) What is the ttest statistic for the slope? Reproduce the ttest statistic
in Excel using other values in the output (e.g., point estimate and standard
error). (10 points)
c.2) What is the 95% confidence interval of the slope? Reproduce the con
fidence interval in Excel using other values in the output (e.g., t stat). Can
we use the confidence interval to claim that the independent variable can be
dropped in the linear regression model? (10 points)
c.3) What is the pvalue for the estimate of the slope? Reproduce the pvalue
in Excel using other values in the output (e.g., t stat). Can we use the pvalues
to claim that the independent variable can be dropped in the linear regression
model? (10 points)
c.4) Does the linear regression model fit well? Explain your answer. (5
points)
d) Assume that the area of the land you are considering to sell is only one
acre. Does the linear regression model provide a good prediction for the value
of your land? (5 points)
e) Assume that you want to check if the slope should be significantly bigger
than 10,000.
e.1) Write the hypotheses. (5 points)
e.2) What is the new ttest statistic? (5 points)
e.3) What is the new pvalue for the estimate of the slope? Is the slope
significantly bigger than 10,000? (10 points)
Values 
836,586,000 
986,547,000 
1,075,609,000 
381,443,000 
889,148,000 
1,096,422,000 
1,340,628,000 
903,129,000 
785,261,000 
1,407,381,000 
799,722,000 
1,242,590,000 
378,638,000 
395,110,000 
582,299,000 
286,805,000 
1,286,312,000 
188,313,000 
529,053,000 
700,357,000 
1,123,597,000 
392,277,000 
1,068,679,000 
576,348,000 
535,527,000 
797,064,000 
854,322,000 
1,415,763,000 
1,110,576,000 
543,485,000 
621,503,000 
44,632,000 
473,953,000 
129,286,000 
372,399,000 
604,300,000 
432,818,000 
748,532,000 
139,826,000 
456,433,000 
1,694,543,000 
967,926,000 
1,009,765,000 
1,085,302,000 
1,089,378,000 
1,331,657,000 
364,124,000 
1,070,730,000 
1,536,796,000 
1,426,503,000 
796,188,000 
1,559,685,000 
493,466,000 
743,640,000 
376,926,000 
957,234,000 
169,340,000 
157,625,000 
309,507,000 
265,410,000 
251,621,000 
412,789,000 
136,533,000 
184,032,000 
256,578,000 
228,716,000 
565,330,000 
219,363,000 
388,716,000 
81,059,000 
371,794,000 
853,684,000 
618,448,000 
1,032,717,000 
876,501,000 
157,428,000 
726,993,000 
1,178,550,000 
762,332,000 
1,269,773,000 
1,018,473,000 
895,709,000 
2,412,768,000 
1,211,090,000 
1,060,153,000 
2,145,334,000 
1,050,692,000 
1,227,843,000 
In: Math
In: Math
5. The test statistic of z=2.31 is obtained when testing the claim that p>0.3.
a. This is a (twotailed, righttailed, lefttailed) test.
b. Pvalue=_____
(Round to three decimal places as needed.)
Choose the correct conclusion below.
A.Reject Ho. There is sufficient evidence to support the claim that p>0.3.
B.Reject Ho. There is not sufficient evidence to support the claim that p>0.3.
C.Fail to reject Ho. There is sufficient evidence to support the claim that p>0.3.
D.Fail to reject Ho. There is not sufficient evidence to support the claim that p>0.3
6. The test statistic of z= 2.58 is obtained when testing the claim that P=3/5.
a. The critical value(s) is/are z=______
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. Choose the correct conclusion below.
A.Reject Ho. There is not sufficient evidence to warrant rejection of the claim that P=3/5
B.Reject Ho. There is sufficient evidence to warrant rejection of the claim that P=3/5
C.Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that P=3/5
D.Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that P=3/5
In: Math
Bass  Samples: The bass in Clear Lake have weights that are normally distributed with a mean of 2.2 pounds and a standard deviation of 0.6 pounds. Suppose you catch a stringer of 6 bass with a total weight of 15.9 pounds. Here we determine how unusual this is.
(a) What is the mean fish weight of your catch of 6? Round
your answer to 1 decimal place.
(b) If 6 bass are randomly selected from Clear Lake, find the
probability that the mean weight is greater than the mean of those
you caught. Round your answer to 4 decimal
places.
2
(c) Which statement best describes your situation?
This is unusual because the probability of randomly selecting 6 fish with a mean weight greater than or equal to the mean of your stringer is less than the benchmark probability of 0.05.
This is not particularly unusual because the mean weight of your fish is only 0.5 pounds above the population average.
In: Math