Question

Ho u = 2 vs Ha u not equal to 2 and o=20. sample mean =12 and use alpha = 0.05

a) if n= 10, what is p-value?

b) n= 15, what is p-value?

c) n=20, what is p-value?

d) summarize your findings from above.

Answer 1

The null and alternative hypothesis are:

Null hypothesis,

Alternative hypothesis,

The population standard deviation is known, i.e., and the sample mean is gievn as also the significance level is given as

(a) P-value when the sample size is

We have to find the Z-score for the sample mean of

P-value:

_______________

(b) When sample size is

P-value:

_________________

(c) When sample size is

P-value:

______________________

(d) Since we are testing a two-tailed hypothesis with given significance level of

When

Since,

.....................

When

Since,

....................

When

Since,

.......................

So for the sample size the sample data provides sufficient evidence to reject null hypothesis .