Solve the Problem $\mu _ { 1 } = \mu _ { 2 }$

question 55

Multiple Choice

Solve the problem.
-A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. A 95% confidence interval for the difference between the population means is (1.4, 8.7) . If the hypothesis test is based on the same samples, which of the following do you know for sure:
A: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $5 \%$ level of significance.
B: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $10 \%$ level of significance.
C: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $1 \%$ level of significance.

• A) A, B, and C
• B) A only
• C) A and C
• D) A and B

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Definitions:

365-Day Year

A conventional method used in finance to standardize the number of days in a year for interest calculation purposes.

Exact Simple Interest

Interest calculated linearly on the principal amount, where the calculation is based precisely on the time period involved.

365-Day Year

A method of calculating interest that assumes all years have 365 days, used in some financial contexts.

Ordinary Simple Interest

Interest calculated on the principal amount of a loan or deposit, based solely on the principal, rate, and time.