Question

The mean height obtained from a random sample of size 100 is 64 inches. The standard
deviation of the distribution of height of the population is known to be 3 inches. Test the
statement that the mean height of the population is 67 inches at 5% level of significance.
Also set up 99% confidence limits of the mean heights of the population.

Answer 1

Answer:

The null hypothesis is that the mean height of the population is 67 inches.

Step-by-step explanation:

In notation : Ho : m = 67 inches and Ha : m ± 67 inches

Given that m = 67, x = 64 and n = 100 with s = 3

Therefore, Ho is rejected at 5% level of significance. Hence mean height of the population could not be 67 inches.

99% probable limits of the mean of population is given by ± 2.58 S.E.

Now S.E. =

Therefore, we have 64 ± 2.58 (0.3) inches .

= 64 - 2.58 (0.3) = 63.2 inches to 64 + 2.58 (0.3) = 64.8 inches.

I hope it helps you. Thanks.

Answer 2

Answer:

Ho rejected

Step-by-step explanation:

zcal=10 so it exceed the ztab=1.96 at 5%