I cant get any of these right can you please show your work on all of the sectio

Question

I cant get any of these right can you please show your work on all of the section a-d

for Section 9.2 Introduction Objective 1 Objective 2 Objective 3 Objective 4 Obective 5 for a Population Mean 9.2.17 O of 1 Point found to be t 0 nterval about u if the sample size, n, is 14 nterval about u if the sample size, n, is 22 (b) Construct a 98% (c) Construct a gg% confidence interval about if the sample size n, s 14 (d) Could we have computed the in parts (aHc) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution Lower bound: 99.9: Upper bound: 114.1 (Use ascending order. Round to one decimal place as needed.) (b) Construct a 98% confidence interval about if the sample size, n, is 22. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.) Enter your answer in the edit fields and then click Check Answer Clear Al

Explanation / Answer

Solution:- Given that x = 107, s = 10

(a) for n = 14, df = n-1 = 13

98% confidence interval for the = X +/- t*s/sqrt(n)

t = 2.650

98% confidence interval for the = 107 +/- 2.650*10/sqrt(14)
  
= 99.9 , 114.1
(b) for n = 22, df = 21

t = 2.518

98% confidence interval for the = 107 +/- 2.518*10/sqrt(22)
= 101.6 , 112.4

c) for n = 14 , 99% confidence interval t = 3.012

99% confidence interval for the = 107 +/- 3.012*10/sqrt(14)
= 99.0 , 115.0

d) No, the population need to be normally distributed

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