Question

A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are

nequals=186186​,

x overbarxequals=5.555.55​,

sequals=1.951.95.

Use a

0.100.10

significance level to test the claim that the population mean of such ratings is less than

6.006.00.

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 1

H0: Null Hypothesis: 6.00

HA: Alternative Hypothesis: < 6.00

SE = s/

= 1.95/ = 0.1430

Test statistic is given by:

t = (5.55 - 6.00)/0.1430 = - 3.15

ndf = 186 - 1 =185

One Tail Left Side Test

By Technology, P - Value = 0.0010

Since P - Value = 0.0010 is less than = 0.10, the difference is significant. Reject null hypothesis.

The data support the claim that the population mean of such ratings is less than 6.00.