Question

Question 23 3 pts Missing P-value: Say that the P-value was not given and the following conclusion was stated: "The survey does not provide enough evidence to conclude that the average annual salary of U.S. is more than $125,000." Which of the following could have been the P-value that led to this conclusion? O 1.2 O 0.12 0 -1.2 O 0.012 Question 24 3 pts Shoe Size: The average shoe size of adult males in the US is 10.5 with a standard deviation of 1.3. Find the Z-score of an adult male with a show size of 13 to two decimal places.

Answer 1

Final answers are highlighted in colour.

Question 1:

The statement "Average annual salary of US is greater than $125000" is an alternate hypothesis.Here we are unable to reject the Null hypothesis that "Average annual salary of US is less than or equal to 125000 ". This is a right tailtest as the alternate hypothesis contains "Greater than".

inability to reject the null hypothesis indicates p value should be greater than 0.05(If assumed 95% Confidence level) or 0.1(If assumed 90% confidence level).

the only option that suffices both conditions is p=1.2(Option 1)

Question 2

Average shoe size($\mu$)= 10.5, Standard Deviation($\sigma$)= 1.3

Z score of (X=13)=
- o
= $\frac{13-10.5}{1.3}$

= 1.92