A large study of many pregnancies found the distribution to be approximately Nor

Question

A large study of many pregnancies found the distribution to be approximately Normal with a mean of mu = 278 days and a standard deviation of sigma = 8 days. 2.a) With this new information calculate an appropriate test statistic for the data in 1.b. 2.b) Based on your test statistic found in 2.a, what is the p-value associated with this test? 2.c) Based on the p-value found in 2.b, testing at a 5% level, what do you conclude about your null and alternative hypotheses? What does this mean in terms of the original question of interest?

Explanation / Answer

Part-a

Test statistic t=( xbar-278)/(/sqrt(n))

=(-1.25-0)/(8/sqrt(33))

=-0.898

Part-b

p-value=P(Z<-0.898)=0.1847

Part-c

As p-value>0.05, we do not reject the null hypothesis and conclude that money is not better motivator than fear.

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