Question

7.) If the mean weight of an adult female between the ages of 20-40 years old is known to be 152.5 lbs, is there evidence at the .10 level that the female college students weigh less? (This is the only information I was given to answer this question)

145, 132, 141, 126, 118, 126, 145, 164, 171, 147, 153, 167, 124, 162, 182, 119

Ho:

Ha:

z=

p-value:

Conclusion:

Answer 1

Sample size = n = 16

Sample mean = = 145.125

Standard deviation = s = 20

Claim: The female college students weight less than 152.5

The null and alternative hypothesis is

Level of significance = 0.10

Here population standard deviation is unknown so we have to use t-test statistic.
Test statistic is

Degrees of freedom = n - 1 = 16 - 1 = 15

P-value = P(T < - 1.48) = 0.0804

P-value < 0.10 we reject null hypothesis.

Conclusion:

The female college students weight less than 152.5