A manufacturer of floor mops would like her product to last 700 hours, on the average.She hopes the mean number of hours is not a lot less than 700 (people will not continue to buy her product) or a lot more than 700 (people would seldom have to buy the product). However, the manufacturer has reason to believe the mean may have changed. A random sample of 48 items shows that sample meanX=675andsample standard deviationS=77hours.Usethe significance level =.05.

what is the rejection region?

• [1.64,+)
• (-,-1.64]
• (-,-1.96] U [1.96,+)
• (-,-2.33] U [2.33,+)

what is the p-value of the test?Round youranswer to four decimal places.

what is your conlusion?

• Accept H_a: p .5
• Accept H_a: =700
• Accept H_a: >700
• Reject H₀: 675
• Reject H₀: > 675
• Reject H_a: p >.5
• Accept H_a: < 700
• Accept H_a: 700

(Hard Topic, like literally)