A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 192, x=7.88, s=2.09. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. Ho: μ = 8.00 H₁: μ> 8.00 OC. Ho: <8.00 H,: μ > 8.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean of the population of ratings is OB. Ho: 8.00 H₁: μ*8.00 not O D. Ho: 8.00 H,: μ < 8.00 8.00. less than greater than equal to

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 192, x = 7.88, s=2.09. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than
8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
O A. Ho: μ = 8.00
H₁:μ>8.00
C. Ho: μ< 8.00
H₁:μ> 8.00
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Ho. There is
evidence to conclude that the mean of the population of ratings is
less than
not
B. Ho: μ = 8.00
H₁: μ8.00
8.00.
D. Ho: μ = 8.00
H₁: μ< 8.00
equal to
greater than
Transcribed Image Text:A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 192, x = 7.88, s=2.09. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: μ = 8.00 H₁:μ>8.00 C. Ho: μ< 8.00 H₁:μ> 8.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean of the population of ratings is less than not B. Ho: μ = 8.00 H₁: μ8.00 8.00. D. Ho: μ = 8.00 H₁: μ< 8.00 equal to greater than
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