# Stats: Normal Distributions, Sample Means, and Null Hypotheses 1 To test Ho: ?=20 versus H1: ? be no

Stats: Normal Distributions,
Sample Means, and Null Hypotheses

1 To test Ho: ?=20 versus H1:
? be normally distributed with ?=2

a If the sample mean is
determined to be 183
, compute P-value

b If the researcher decides to
test this hypothesis at the a=005 level of significance, will the researcher
reject the null hypothesis?

2 Suppose you are using a=005 to
test the claim that ?>16 using a P-value You are given the sample statistics
n=50 sample mean=163 and ?=12 find the P-value

3 To test Ho: ?= 105 versus H1:
?20 ?105, a random sample size n=35 is obtained from a population that is known
to be normally distributed with ?= 12

a Does the population need to be
normally distributed to compute p-value?

b If the sample mean is
determined to be 1007, compute P-value

c If the researcher decides to
test this hypothesis at the ?=002 level of significance , will the researcher
reject the null hypothesis?