A First Course in Probability (10th Edition)
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ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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=188, x overbar=7.89, s=2.05. Use a 0.05 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?
- 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.
▼ Reject, Fail to reject H0. There is▼ not sufficient, sufficient evidence to conclude that the mean of the population of ratings is ▼ equal to, not
greater than, less than, 8.00.
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 =188, x =7.89, s = 2.05. Use a 0.05 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.
VVidi die ine nuii dinu daitemative nyponeses?
O A. H,: µ= 8.00
H,: µ#8.00
O B. H,: µ= 8.00
H,: µ<8.00
OC. H,: µ=8.00
Ο D. H μ< 8.00
H,: µ> 8.00
H,: p> 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.
Hn. There is
V evidence to conclude that the mean of the population of ratings is
8.00.
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