Question

A book about different colleges' reports that the mean time students at a particular university study each week is 1015 minutes. A dean says she believes the mean is greater than 1015 minutes. To test her claim, she takes a random sample of 64 students and finds that the sample mean is 1050 minutes, with standard deviation 150 minutes 4. Show that this meets the requirements for a significance test for a mean. State the null hypothesis and the alternate hypothesis Calculate the test statistic and the p-value Is this strong evidence to support her claim that the mean time students study at her university is greater than 1015? a. b. c. d.

Answer 1

Ans:

a)sample is random and independent.Also n>=30,we can use z statistic.

b)

$H_0:\mu =1015$

$H_a:\mu >1015$

c)

Test statistic:

z=(1050-1015)/(150/SQRT(64))

z=1.867

d)p-value=P(z>1.867)=0.0310

This is not strong evidence to support the claim.