Question

You wish to test the following claim (Ha) at a significance level of α-0.05. Ho: u = 65.4 Ha: u > 65.4 you believe the population is normally distributed, but you do not know the standard deviation. you obtain a sample size n=20 with mean M=71.7 and a standard deviation of SD =7.2. what is the p-value for this sample? the p-value is less than or greater than α? This p-value 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 65.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 65.4. The sample data support the claim that the population mean is greater than 65.4. There is not sufficient sample evidence to support the claim that the population mean is greater than 65.4.

Answer 1

H0: Null Hypothesis: = 65.4

Ha:Alternative Hypothesis: > 65.4

SE = s/

= 7.2/ = 1.6100

Test statistic is:

t = (71.7 - 65.4)1.6100 = 3.9130

ndf = 20 - 1 = 19

One Tail - Right Side Teat

By Technology, p - value = 0.0005

(i)

p - value = 0.0005

(ii)

p - value is less than .

(iii)

This p value leads to a decision to reject the null.

(iv)

As such the final conclusion is that: The sample data support the claim that the population mean is greater than 65.4.