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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 nequals189, x overbarequals7.58, sequals1.93. 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.
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are nequals189, x overbarequals7.58, sequals1.93. 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.
Answer with explanation:Given : Sample sizeSample mean :Sample standard deviation :Letbe the population mean of "like" ratings of male dates made by the female dates.As per question ,Null hypothesis :Alternative hypothesis :, It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)Test statistic:For 0.05 significance and df =188 (df=n-1)p-value= .001582. [By t-table]Since .001582< 0.05Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.Conclusion :We support the claim at 5% significance that t the population mean of such ratings is less than 8.00....
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