Question

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

      Ho:μ=61.2Ho:μ=61.2
      Ha:μ>61.2Ha:μ>61.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=125n=125 with mean ¯x=66x¯=66 and a standard deviation of s=14.1s=14.1.

What is the test statistic for this sample?
test statistic =  (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?
p-value =  (Report answer accurate to 4 decimal places.)

The p-value is...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 61.2.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 61.2.
• The sample data support the claim that the population mean is greater than 61.2.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 61.2.

Answer 1

Solution :

= 61.2

=66

S =14.1

n = 125

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 61.2

Ha : > 61.2

Test statistic = t

= ( - ) / S / n

= (61.2-66) / 14.1 / 125

= 3.806

Test statistic = t = 3.806

P-value =0.0001

= 0.10

P-value <

0.0001 < 0.10

Reject the null hypothesis .

There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 61.2.