Question

Question 5 0.33 pts A survey asked the following question: "About how much time (in minutes) do you study on a typical weeknight?" to a randomly selected group of 46 first-year ASU students. The sample mean was 118 minutes. Let u be the mean study time of all first-year ASU students. Assume the population standard deviation is o = 65 minutes. Suppose you wanted to test is u is less than 2 hours: HO: u = 120 Ha: u <120 (a) Find the p-value for this test. (Round to 2 decimals)

Answer 1

Solution :

$\mu$= 120

$\bar x$ =118

$\sigma$ =65

n = 46

this is the left tailed test .  

The null and alternative hypothesis is ,

H0 :  $\mu$ = 120

Ha : $\mu$ <120

Test statistic = z

= ($\bar x$ - $\mu$ ) / $\sigma$ / $\sqrt$ n

= (118-120) / 65/ $\sqrt$ 46

= -0.21

P(z < -0.21 ) = 0.4168

P-value = 0.4168

P-value = 0.42 rounded two decimal