Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x₁ = -2.4 $1²7.9 1 - 28 --17.9 8₂2-8.6 22 - 11 a. Construct the 90% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. (Round all Intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is b. Specify the competing hypotheses in order to determine whether or not the population means differ. O Hot M1-M2-01 B₁³ M41 - 420 O NOI A1 - H2 2 0; Hat 41 - 42 < 0 O NOT M1 - 12 5 01 BAt M1 - 42 > 0

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Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the
appropriate table: z table or t table)
X₁ -2.4
8₁²-7.9
#1
n₁ - 28
--17.9
8₂² = 8.6
11
2
a. Construct the 90% confidence interval for the difference between the population means. Assume the population variances are
unknown but equal. (Round all Intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
Confidence interval is
b. Specify the competing hypotheses in order to determine whether or not the population means differ.
Hot M41 442 01 HA¹1-12-0
О N01 41
- 42 ≥ 01 HAt A1 - 42 < 0
O No¹ M1 M2 = 0; BA: M1-M20
Transcribed Image Text:Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) X₁ -2.4 8₁²-7.9 #1 n₁ - 28 --17.9 8₂² = 8.6 11 2 a. Construct the 90% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. (Round all Intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is b. Specify the competing hypotheses in order to determine whether or not the population means differ. Hot M41 442 01 HA¹1-12-0 О N01 41 - 42 ≥ 01 HAt A1 - 42 < 0 O No¹ M1 M2 = 0; BA: M1-M20
c. Using the confidence interval from part a, can you reject the null hypothesis?
O Yes, since the confidence interval includes the hypothesized value of 0.
O No, since the confidence interval includes the hypothesized value of 0.
O Yes, since the confidence interval does not include the hypothesized value of 0.
O No, since the confidence interval does not include the hypothesized value of 0.
d. Interpret the results at a = 0.1.
O We conclude that population mean 1 is greater than population mean 2.
We cannot conclude that population mean 1 is greater than population mean 2.
We conclude that the population means differ.
We cannot conclude that the population means differ.
Transcribed Image Text:c. Using the confidence interval from part a, can you reject the null hypothesis? O Yes, since the confidence interval includes the hypothesized value of 0. O No, since the confidence interval includes the hypothesized value of 0. O Yes, since the confidence interval does not include the hypothesized value of 0. O No, since the confidence interval does not include the hypothesized value of 0. d. Interpret the results at a = 0.1. O We conclude that population mean 1 is greater than population mean 2. We cannot conclude that population mean 1 is greater than population mean 2. We conclude that the population means differ. We cannot conclude that the population means differ.
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