Question

s A data set about speed dating includes Tke ratings of male dates made by the female daies. The that a simple random sample has been selected. Identity the nuil and atematlive hypothess tet, P-valun, and etale the nal condlusion het addresses the original clam summary statistics are n191, 5.0 2.26 Use0.10 signcance level to test the claim that he popuetion mean of such atings is s What are the null and atemative hypotheses Hy:600 Determine the test statistic DRound to b#0 decimal places as needed) Determine the P-value Round to three decimal places as needed) H0. There is evidence to conclude that the mean of the population of ratings is

Answer 1

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xbar = 5.86
s = 2.26
n = 191
P(X<6) = ?

Null and alternate hypothesis:

Option D. is TRUE.

Ho: Mu= 6.00
Ha: Mu < 6.00

test-statisic = (Xbar - Mu)/(s/sqrt(n)) = (5.86-6)/(2.26/sqrt(191)) = -0.86

p-value = P(X<-.86) = 0.196

The final conclusion that addresses the original claim :

Do not reject. There is not enough evidence to conclude that the mean of the population of ratings is below 6.00