Arandom sample of n measurements was selected from a population with unknown mean p and standard deviation o= 30 for each of the situations in parts a through d. Caloulate a 99% confidence interval for u for each of a.n=50, x=21 b.n= 150, x 112 c.n= 90, x= 15 d. n= 90, x= 5.17 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain a. (10.07. 31.93) (Round to two decimal places as needed) b. ( 105 69. 118 31) (Round to two decimal places as needed) c. (686. 23 15) (Round to two decimal places as needed) d. OD (Round to two decimal places as needed)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A random sample of n measurements was selected from a population with unknown mean u and standard deviation o = 30 for each of the situations in parts a through d. Calculate a 99% confidence interval for u for each of these situations.
a. n = 50, x= 21
b. n= 150, x= 112
c.n = 90, x= 15
d. n = 90 , x= 5.17
e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.
a. (10.07, 31.93)
(Round to two decimal places as needed.)
b. (105.69, 118.31)
(Round to two decimal places as needed.)
c. ( 6.86 , 23.15)
(Round to two decimal places as needed)
d. (OD)
(Round to two decimal places as needed.)
Transcribed Image Text:A random sample of n measurements was selected from a population with unknown mean u and standard deviation o = 30 for each of the situations in parts a through d. Calculate a 99% confidence interval for u for each of these situations. a. n = 50, x= 21 b. n= 150, x= 112 c.n = 90, x= 15 d. n = 90 , x= 5.17 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain. a. (10.07, 31.93) (Round to two decimal places as needed.) b. (105.69, 118.31) (Round to two decimal places as needed.) c. ( 6.86 , 23.15) (Round to two decimal places as needed) d. (OD) (Round to two decimal places as needed.)
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