Question

A simple random sample of size

nequals

15is drawn from a population that is normally distributed. The sample mean is found to be

x overbar

equals18.7and the sample standard deviation is found to be

sequals

6.3

.

Determine if the population mean is different from

25

at the

alpha equals 0.01

level of significance. Complete parts ​(a) through ​(d) below.

​(a) Determine the null and alternative hypotheses.

Upper H 0

​:

▼

sigma

p

mu

▼

equals

not equals

less than

greater than

25

Upper H 1

​:

▼

p

sigma

mu

▼

equals

greater than

less than

not equals

25

Answer 1

The null and alternative hypothesis are

H0: $\mu$ = 25

Ha: $\mu$ $\neq$ 25