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Chapter 9: Q. 77 (page 543)

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on

average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of

49students and obtain a sample mean of 5.1with a sample standard deviation of 1.2Do the data support your claim at the

1%level?

Short Answer

Expert verified

The claim is supported at the 1% level .

Step by step solution

01

Given Information

For H0, mean is =4.5

For Ha, mean is≠4.5

localid="1650205190437" α=0.01

Testt=0.995

Df=49

02

Explanation

Using the formula below:

t=(X¯-μ)sn

Critical Value = 2.6822

Reject H0 for|t|>2.6822

t=4.5-5.11.249=-4.21.2=-3.5

Reject H0 , p - value =0.001

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Most popular questions from this chapter

A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. At a 1% level of significance, an appropriate conclusion is:

a. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.

b. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is more than 20%.

c. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.

d. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is at least 20%.

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H0:p=0.50,Ha:p>0.50

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Interpret the results and state a conclusion in simple, non-technical terms.

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