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A meteorologist wants to determine if it was colder this past October than it wa

ID: 3133148 • Letter: A

Question

A meteorologist wants to determine if it was colder this past October than it was in October of the previous year, on average, using a 10% significance level. From each October month, he randomly selects 8 different days from each year and records the temperature. Let Group 1 = temperatures from October this past year and Group 2 = tempteratures from October the previous year.

a)

Which of the following is the appropriate symbol to complete set of hypotheses?

H0: 1 = 2 versus Ha: 1 ? 2

a) > (greater than or one-sided to the right)

b)< (less than or one-sided to the left)

c) not equal to (two-sided)

b) Suppose the meteorologist conducts the appropriate test and obtains a p-value of 0.076 and thus decides to reject the null hypothesis. What type of error could he have made?

a) Type 1 error

b) Type 2 error

c) Since the decision has been made, no error is possible

Explanation / Answer

1) b) < (less than or one-sided to the left) Answer

2) a) Type 1 error Answer