Hypothesis Testing Question Show all worrk Thank youSolution

Hypothesis Testing Question

Show all worrk, Thank you.

Solution

Let mu be the population mean

The test hypothesis:

Ho: mu=15 (i.e. null hypotheiss)

Ha: mu not equal to 15 (i.e. alternatve hypothesis)

The test statistic is

Z=(xbar-mu)/(s/vn)

=(15.6-15)/(1/sqrt(49))

=4.2

It is a two-tailed test.

Given a=0.01, the critical values are Z(0.005) = -2.58 or 2.58 (from standard normal table)

The rejection regions are if Z<-2.58 or Z>2.58, we reject the null hypothesis.

Since Z=4.2 is larger than 2.58, we reject the null hypothesis.

So we can conclude that there is evidence to support the claim