Question

A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are nequals195, x overbarequals6.85, sequals2.18. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than 7.00. 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?

A. Upper H 0: muequals7.00 Upper H 1: mugreater than7.00

B. Upper H 0: muless than7.00 Upper H 1: mugreater than7.00

C. Upper H 0: muequals7.00 Upper H 1: muless than7.00

D. Upper H 0: muequals7.00 Upper H 1: munot equals7.00

Determine the test statistic. nothing (Round to two decimal places as needed.)

Determine the P-value. nothing (Round to three decimal places as needed.)

State the final conclusion that addresses the original claim. ▼ Fail to reject Reject Upper H 0. There is ▼ sufficient not sufficient evidence to conclude that the mean of the population of ratings is ▼ less than not equal to greater than 7.00.

Answer #1

We have to test claim that the population mean of such ratings is less than 7.00

So, Ho: mean is equal to 7

Ha: mean is less than 7

option C is correct

test statistics t=

degree of freedom = n- 1= 195-1 = 194

using t distribution, check -0.96 in the left column and df(194) in row, we get

**p value=
0.169**

p value is more than 0.05 significance level, failed to reject the null hypothesis. We have insufficient evidence to claim that population mean of such ratings is less than 7.00

**Fail to reject Upper H 0. There is not sufficient
evidence to conclude that the mean of the population of ratings is
less than 7.00.**

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