A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume the null hypothesis indicates a two-tailed test and the researcher decided to use the 0.10 significance level. For what values of t will the null hypothesis?

Interval for t statistic = (-1.345, 1.345)

Step-by-step explanation:

given that a random sample of size 15 is selected from a normal population. The population standard deviation is unknown.

Since population std deviation is unknown and also sample size <30, we have to use t test only for testing of hypothesis

Given it is a two tailed test at 10% significance level.

Degree of freedom = 15-1 =14

t critical value for df 14 two tailed is

1.345

Hence our test statistic should lie between

(-1.345, 1.345)

Then null hypothesis is accepted

Other wise it is rejected.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk