Math  /  Data & Statistics

Question2\checkmark 2 4 5 6 7 8 9 10 11 Español
Testing, testing: An instructor believes that the mean time that students will spend on the take home test is 8 hours. A test is made of H0:μ=8H_{0}: \mu=8 versus H1:μ<8H_{1}: \mu<8. The null hypothesis is not rejected. State an appropriate conclusion.
There \square (Choose one) enough evidence to conclude that the mean time spent is (Choose one) 8\nabla 8 hours. \square

Studdy Solution

STEP 1

1. The null hypothesis H0:μ=8 H_0: \mu = 8 represents the assumption that the mean time spent is 8 hours.
2. The alternative hypothesis H1:μ<8 H_1: \mu < 8 suggests the mean time is less than 8 hours.
3. The null hypothesis is not rejected based on the test conducted.

STEP 2

1. Understand the implications of not rejecting the null hypothesis.
2. Formulate the conclusion based on the hypothesis test result.

STEP 3

When the null hypothesis is not rejected, it means there is insufficient evidence to support the alternative hypothesis. Therefore, we do not have enough evidence to conclude that the mean time spent is less than 8 hours.

STEP 4

State the conclusion:
Since the null hypothesis is not rejected, the appropriate conclusion is:
There is not enough evidence to conclude that the mean time spent is less than 8 hours.

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