1)A researcher wishes to test the following hypotheses:

H0: = 120.

H1: > 120.

with = 0.05.

She carefully takes a sample and obtains:

n = 40,x= 122, s = 32

Round all answers to 3 decimal places

What is the test statistic?

What is the p-value?

Do we reject the null hypothesis? (yes/no)

Is there sufficient evidence to support that the mean is greater than 120? (yes/no)

2)A researcher wishes to test the following hypotheses:

H0: = 110.

H1: < 110.

with= 0.10

Hecarefully takes a sample and obtains:

n = 36,x= 105, s =12

Round all answers to 3 decimal places.

What is the test statistic?

What is the p-value?

Do we reject the null hypothesis? (yes/no)

Is there sufficient evidence to support the mean has decreased? (yes/no)