Question

You wish to test the following claim (Ha) at a significance
level of α=0.002.

Ho:μ=79.8

Ha:μ<79.8

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=30 with
mean M=67.4 and a standard deviation of SD=16.5.

What is the test statistic for this sample? (Report answer accurate
to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to
four decimal places.)

p-value =

Answer #1

n=30, = 79.8

= 67.4 , s = 16.5

= 0.002

null and alternative hypothesis is

**Ho:
= 79.8**

**Ha:
< 79.8**

formula for test statistics is

t = -4.116218

**test statistics (t) =
-4.116**

now calculate P-Value for this one tailed test with df= n-1 = 30- =29, using following

excel command we get p-value as,

**P-Value =
0.0001**

decision rule is,

Reject Ho if (P-Value) < ( )

Here, ( P-Value = 0.0001) < ( = 0.002 )

Hence,

**Null hypothesis is
rejected.**

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