Question

Introduction To Statistics (W118-19 Mat 102 JA) Quiz: Quiz 8 - Chapter 11 oshua mevile &/12/19 752 PM 5 of s This Quiz: 5 pts compiete pans a throughc Determine the nul and atemative hypothesers (Round to two decimal places as needed.) (Round to two decimal places as ejecr the null hypohesis Round to four decimal places as needed) or means to two decimal places as needed. Use a comma to separate answers as O Type here to search 6

Answer 1

$a.~H_0:\mu=37\\ H_1:\mu>37\\ Z~test~statistic=\frac{\sqrt{40}(38.7-37)}{8}=1.34\\ Critical~Z~score~is~Z_{0.1}=1.28\\ Because~the~test~statistic~is~greater~than~the~critical~value,~reject~the~null~hypothesis.\\ b.~p-value=P(Z>1.34|Z\sim N(0,1))=1-\Phi(1.34)=0.0901\\ c.~The~critical~sample~mean=37+1.34*(8/\sqrt{40})=38.62$