1.1.You randomly choose 16 unfurnished on-bedroom apartments from a large number of advertisements in your local newspaper. You calculate that their mean monthly rent is $766 and their standard deviation is $180. Does this SRS give good reason to believe that the mean rent of all advertised one-bedroom apartments is greater than $700?

Find the t-statistic (report to 2 decimal places):

What are the degrees of freedom?

Find the range for the p-value (report to 2 decimal places):

lower bound:

upper bound:

2.For a study, n=114 male athletes from eight Canadian sports centers were surveyed. Their average caloric intake was 3077.0 kilocalories per day (kcal/d) with a standard deviation of 987.0. The recommended amount is 3421.7. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake?

State the appropriate null and alternative hypotheses.

a.H0: =3421.7

Ha: 3421.7

b.H0: =3077.0

Ha: 3077.0

c.H0: =3421.7

Ha: <3421.7

d.H0: =3077.0

Ha: <3077.0

3.For the previous problem:

Find the t statistic (report to 2 decimal places)

4.For the previous problem:

Find the range for the p-value

a.> 0.01

b.0.005 to 0.01

c.0.0025 to 0.005

d.0.001 to 0.0025

e.0.0005 to 0.001

f.< 0.0005

5.Many organizations are doing surveys to determine the satisfaction of their customers. Attitudes toward various aspects of campus life were the subjects of one such study conducted at Purdue University. Each item was rated on a 1 to 5 scale, with 5 being the highest rating. The average response of 1568 first-year students to "Feeling welcomed at Purdue" was 3.83 with a standard deviation of 1.10. Assuming that the respondents are an SRS, give a 90% confidence interval for the mean of all first-year students.

What are the degrees of freedom?

What is t*? (report to 3 decimal places)

What is the 90% confidence interval? (report to 2 decimal places):

Lower: Upper:

6.Corporate advertising tries to enhance the image of the corporation.A study compared two ads from two sources: the Wall Street Journal and the National Enquirer. Subjects were asked to pretend that their company was considering a major investment in Performax, the fictitious sportswear firm in the ads. Each subject was asked to respond to the question "How trustworthy was the source in the sportswear company ad for Perfomax?" on a 7 point scale. Higher values indicated more trustworthiness. Here is the summary of the results:

Ad source=Wall Street Journal

n=66

sample mean=4.77

s= 1.50

Ad Source=National Enquirer

n=61

sample mean=2.43

s=1.64

Compare the two sources to see if there is a difference.

What are the null and alternative hypotheses? Find the test statistic. Report to two decimal places.What are the degrees of freedom?What is the 95% margin of error?

7.A study of iron deficiency among infants compared samples of infants following different feeding regiments. One group contained breast-fed infants while the other contained infants fed a standard baby formula without iron supplements. Here are summary results on blood hemoglobin levels at 12 months of age.

Ad Source=Breast-fed

n=23

sample mean=13.3

s=1.7

Ad source=Formula

n=19

Sample mean=12.4

s=1.8

What are the null and alternative hypotheses? Find the test statistic.Report to two decimal places.What are the degrees of freedom?Report as an integer. Report the 95% margin of error. Report to two decimal places.

8.1.A study on the relationship between timing of feeding and weight regulation looked at several factors including fat content

Time eating=Early eaters

n=202

sample mean=23.1

s=12.5

Time eating=Late eaters

n=200

sample mean=21.4

s=8.2

What are the null and alternative hypotheses? What are the degrees of freedom?Report as an integer.What is the pooled variance?Report to two decimal places.What is the test statistic? Report to two decimal places.Find the 95% margin of error. Report to two decimal places.