Question

Consider the following sample data drawn independently from normally distributed populations with unknown but equal population variances. (You may find it useful to reference the appropriate table: z table or t table) Sample 1: 12.1 8.9 9.5 10.9 7.3 11.2 10.2 10.6 8.9 9.8 9.8 9.8 7.2 11.2 10.2 12.1 Sample 2: 8.9 9.5 10.9 7.3 11.2 10.2 10.6 8.9 9.8 9.8 9.8 7.2 11.2 10.2 12.1 a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population. H0: μ1 - μ2 = 0; HA: μ1 - μ2 ≠ 0 H0: μ1 - μ2 ≥ 0; HA: μ1 - μ2 < 0 H0: μ1 - μ2 ≤ 0; HA: μ1 - μ2 > 0 b-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) b-2. Find the p-value. p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 b-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is greater than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is less than the significance level. c. Do you reject the null hypothesis at the 10% level? Yes, since the value of the p-value is greater than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is less than the significance level.

          Consider the following sample data drawn independently from normally distributed populations with unknown but equal population variances. (You may find it useful to reference the appropriate table: z table or t table)

Sample 1:
12.1
8.9
9.5
10.9
7.3
11.2
10.2
10.6
8.9
9.8
9.8
9.8
7.2
11.2
10.2
12.1

Sample 2:
8.9
9.5
10.9
7.3
11.2
10.2
10.6
8.9
9.8
9.8
9.8
7.2
11.2
10.2
12.1

a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.

H0: μ1 - μ2 = 0; HA: μ1 - μ2 ≠ 0
H0: μ1 - μ2 ≥ 0; HA: μ1 - μ2 < 0
H0: μ1 - μ2 ≤ 0; HA: μ1 - μ2 > 0

b-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

b-2. Find the p-value.
p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10

b-3. Do you reject the null hypothesis at the 1% level?
Yes, since the value of the p-value is greater than the significance level.
No, since the value of the p-value is greater than the significance level.
Yes, since the value of the p-value is less than the significance level.
No, since the value of the p-value is less than the significance level.

c. Do you reject the null hypothesis at the 10% level?
Yes, since the value of the p-value is greater than the significance level.
No, since the value of the p-value is greater than the significance level.
Yes, since the value of the p-value is less than the significance level.
No, since the value of the p-value is less than the significance level.

Added by Mackenzie D.

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