A random sample of 10 observations was drawn from a large normally distributed population. The data is below.   2924252922252729232529242529222527292325   Test to determine if we can infer at the 6% significance level that the population mean is not equal to 24, filling in the requested information below. A. The value of the standardized test statistic:  Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic:    C. The p-value is  D. Your decision for the hypothesis test: A. Reject H1H1. B. Do Not Reject H0H0. C. Reject H0H0. D. Do Not Reject H1H1.

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 10 observations was drawn from a large normally distributed population. The data is below.

 

2924252922252729232529242529222527292325

 

Test to determine if we can infer at the 6% significance level that the population mean is not equal to 24, filling in the requested information below.

A. The value of the standardized test statistic: 

Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic: 

 

C. The p-value is 

D. Your decision for the hypothesis test:

A. Reject H1H1.
B. Do Not Reject H0H0.
C. Reject H0H0.
D. Do Not Reject H1H1.

Hint: If your data is 1,2,3,4 you can use the following code to find the mean and standard deviation:

x = c(1,2,3,4)
mean(x)
sd(x)

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