Past experience indicates that the monthly long-distance telephone bill is normally distributed with a mean of 18.7 dollars and standard deviation of 3.3 dollars. After an advertising campaign aimed at increasing long-distance telephone usage, a random sample of 25 household's bills was taken. The data (in dollars) is below. 12.1 20.33 15.13 25.92 22.8 17.91 21.63 23.2 20.85 13.67 23.65 19.33 20.28 16.54 19.17 24.82 23.88 17.01 24.14 22.27 18.44 27.19 12.82 24.78 25.56 Can we conclude at the 3% significance level that the campaign was successful? Fill 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 (-∞o, a) is expressed (-infty, a), an answer of the form (b, ∞o) is expressed (b. infty), and an answer of the form (-∞, a) U (b, ∞o) 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 Ho. OB. Reject H₁.

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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Past experience indicates that the monthly long-distance telephone bill is normally distributed with a mean of 18.7 dollars and a
standard deviation of 3.3 dollars. After an advertising campaign aimed at increasing long-distance telephone usage, a random
sample of 25 household's bills was taken. The data (in dollars) is below.
12.1 20.33 15.13 25.92 22.8 17.91 21.63
23.2 20.85 13.67 23.65 19.33 20.28 16.54
19.17 24.82 23.88 17.01 24.14 22.27 18.44
27.19 12.82 24.78 25.56
Can we conclude at the 3% significance level that the campaign was successful? Fill 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 (-∞o, a) is expressed (-infty, a), an
answer of the form (b, ∞o) is expressed (b, infty), and an answer of the form (-∞, a) U (b, ∞o) 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:
OA. Reject Ho.
OB. Reject H₁.
Transcribed Image Text:Past experience indicates that the monthly long-distance telephone bill is normally distributed with a mean of 18.7 dollars and a standard deviation of 3.3 dollars. After an advertising campaign aimed at increasing long-distance telephone usage, a random sample of 25 household's bills was taken. The data (in dollars) is below. 12.1 20.33 15.13 25.92 22.8 17.91 21.63 23.2 20.85 13.67 23.65 19.33 20.28 16.54 19.17 24.82 23.88 17.01 24.14 22.27 18.44 27.19 12.82 24.78 25.56 Can we conclude at the 3% significance level that the campaign was successful? Fill 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 (-∞o, a) is expressed (-infty, a), an answer of the form (b, ∞o) is expressed (b, infty), and an answer of the form (-∞, a) U (b, ∞o) 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: OA. Reject Ho. OB. Reject H₁.
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