b. The null and alternative hypotheses would be: Ho: ?v Select an answer♥ H1: ?v Select an answer ♥ c. The test statistic ?v = |(please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is [? ♥ a

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Please answer B, C, D & E. 

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 15 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population.

Data: 2.7, 0, 2.7, 1.4, 2.6, 0.2, 0.7, 3.4, 0.8, 1.1, -0.1, 1.9, 3.4, 1.8

What can be concluded at the α = 0.01 level of significance?

a. For this study, we use: t-test for a population mean (selected option)

b. The null and alternative hypotheses would be:
   - H₀: μ = 2
   - H₁: μ ≠ 2

c. The test statistic = ______ (please show your answer to 3 decimal places.)

d. The p-value = ______ (please show your answer to 4 decimal places.)

e. The p-value is ____ α

f. Based on this, we should: fail to reject the null hypothesis (selected option)

g. Thus, the final conclusion is that:
   - The data suggest the population mean is not significantly different from 2 at α = 0.01, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is different from 2. (Selected option)
Transcribed Image Text:According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 15 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. Data: 2.7, 0, 2.7, 1.4, 2.6, 0.2, 0.7, 3.4, 0.8, 1.1, -0.1, 1.9, 3.4, 1.8 What can be concluded at the α = 0.01 level of significance? a. For this study, we use: t-test for a population mean (selected option) b. The null and alternative hypotheses would be: - H₀: μ = 2 - H₁: μ ≠ 2 c. The test statistic = ______ (please show your answer to 3 decimal places.) d. The p-value = ______ (please show your answer to 4 decimal places.) e. The p-value is ____ α f. Based on this, we should: fail to reject the null hypothesis (selected option) g. Thus, the final conclusion is that: - The data suggest the population mean is not significantly different from 2 at α = 0.01, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is different from 2. (Selected option)
Expert Solution
Step 1

b.

The recommended number of hours students should study per unit is 2.

Let μ denotes the population mean number of hours students should study per unit. The claim of the test is that the statistics students study hours different from the recommended number of hours per unit. The hypothesis is,

Null hypothesis:

H0:μ=2

Alternative hypothesis:

H1:μ2

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