Can someone please explain how to solve for question E & F. for some reason OC c

Question

Can someone please explain how to solve for question E & F. for some reason OC curves really confuse me

my test is in 15 minutes so please respond as soon as possible

6. (20 points) Test on Mean of Normal, Variance Unknown Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer samples 7 two-liter polycarbonate bottles and measures the wall thickness in mils. The following results were obtained. 4.065 3.967 4.028 4.008 4.195 4.057 4,010 The summary statistics are: Descriptive Statistics: thickness 01 Redian variable N N· .Hoan SE Mean StDev Minimun thickness 70 4.0471 0.0276 0.0730 3.9670 4.0080 4.0280 4.065 variable Maximun thickness 4.1950 (a) (4 points) The value of the test statistic for the hypothesis test Ho : 4 versus H1 : > 4 is which value? Fill in your selection in Akindi answer form 9 A. 0.65 B. 2.69 C. 4.52 D. 61.87 E. Correct answer not provided (b) (4 points) Select the correct rejection region for the hypothesis described in part a using = 0.05. Fill in your selection in Akindi answer forrn 10 A. to >1.645 B. to >1.895 C. to >1.943 D. to >1.960 E. Correct answer not provided (c) (4 points) What is the conclusion reach for the hypothesis described above in parts a and b? Enter your response in Akindi answer form 11. A. Fail to reject Ho B. Reject Ho C. Cannot determine from the information provided Cannot determine from the information provided

Explanation / Answer

a. t-stat =X-u/se/sqrt(n)     on solving we get t=4.52(option c)

b.option D t>1.96   we pick the region of rejection after 0.975 right tailed test

c. B reject H0

d.option E its a right tailed test

e.

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