Question

The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.5 hours. Data from a simple random sample of 23 high school seniors indicated that their mean number of part-time work was 11.5 with a standard deviation of 1.4. Test whether these data cast doubt on the current belief. (use α = 0.05)

Part d: Determine the P-value for your test.

a) p-value = 0.997581

b) p-value = 0.112419

c) p-value = 0.998791

d) p-value = 0.002419

e) p-value = 0.001209

Part e: State your conclusion for your hypothesis test.

a) Fail to reject the null hypothesis. There is not enough evidence to conclude that the mean number of hours per week of part-time work of high school seniors in a city is different from 10.5 hours

b) Reject the null hypothesis which states which states that the mean number of hours per week of part-time work of high school seniors in a city is 10.5 hours in favor of the alternate which states it is different from that value.

c) There is not enough information to make a conclusion.

Answer 1

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (11.5 - 10.5)/(1.4/sqrt(23))
t = 3.4256

P-value Approach
P-value = 0.002419
As P-value < 0.05, reject the null hypothesis.

Option B