Suppose we are testing the hypotheses H0 : μ = 100 and Ha: μ < 100. Which sample mean will have the smaller p-value, x = 90 or x = 85? Select all that apply. x = 85 will have a smaller p-value because it is further from μ0 = 100. x = 90 will have a smaller p-value because it is closer to μ0 = 100. x = 85 will have a smaller p-value because it provides more support for HA. x = 90 will have a smaller p-value because it provides more support for HA.

Option C: x = 85 will have a smaller p-value because it provides more support for HA

Step-by-step explanation:

Looking at all the options, the only one that is correct is option C because from the area under the normal distribution curve, the left tail of x-bar = 85 has a smaller value then the left-tail of x-bar = 90 and thus it supports the hypothesis Ha: μ < 100. The other options don't support either of the hypothesis. Thus,

We can say then that x = 85 will have a smaller p-value because it provides more support for HA

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.