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Let's assume that we want to do unpaired two-sample t-test for the following summary of samples. Group N Sample mean Sample SD 1 2 23 i. ii. iii. iv. 19 13.3 12.4 1.7 1.8 Based on the above given data, solve the two subparts below: A) Can we conclude that the Group 1 has significantly larger population mean than Group 2? Evaluate the strength of the evidence based on p-value for the corresponding hypothesis test. Select from the below answer choices and explain why. The is no evidence that the new club does a better job (p-value > 0.1) The is some evidence that the new club does a better job (0.05 ≤ p-value < 0.1) The is strong evidence that the new club does a better job (0.01 ≤ p-value < 0.05) The is very strong evidence that the new club does a better job (0.001 ≤ p-value < 0.1) B) What is the 95% confidence interval for the difference of the population means for the 2 groups in the previous problem (i.e., C.I. for µ₁- µ₂). Use 18 as a degree of freedom for the t-distribution.

Let's assume that we want to do unpaired two-sample t-test for the following summary of samples. Group N Sample mean Sample SD 1 2 23 i. ii. iii. iv. 19 13.3 12.4 1.7 1.8 Based on the above given data, solve the two subparts below: A) Can we conclude that the Group 1 has significantly larger population mean than Group 2? Evaluate the strength of the evidence based on p-value for the corresponding hypothesis test. Select from the below answer choices and explain why. The is no evidence that the new club does a better job (p-value > 0.1) The is some evidence that the new club does a better job (0.05 ≤ p-value < 0.1) The is strong evidence that the new club does a better job (0.01 ≤ p-value < 0.05) The is very strong evidence that the new club does a better job (0.001 ≤ p-value < 0.1) B) What is the 95% confidence interval for the difference of the population means for the 2 groups in the previous problem (i.e., C.I. for µ₁- µ₂). Use 18 as a degree of freedom for the t-distribution.

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Let's assume that we want to do unpaired two-sample t-test for the following summary of samples. Group N Sample mean Sample SD 1 2 23 i. ii. iii. iv. 19 13.3 12.4 1.7 1.8 Based on the above given data, solve the two subparts below: A) Can we conclude that the Group 1 has significantly larger population mean than Group 2? Evaluate the strength of the evidence based on p-value for the corresponding hypothesis test. Select from the below answer choices and explain why. The is no evidence that the new club does a better job (p-value > 0.1) The is some evidence that the new club does a better job (0.05 ≤ p-value < 0.1) The is strong evidence that the new club does a better job (0.01 ≤ p-value < 0.05) The is very strong evidence that the new club does a better job (0.001 ≤ p-value < 0.1) B) What is the 95% confidence interval for the difference of the population means for the 2 groups in the previous problem (i.e., C.I. for µ₁- µ₂). Use 18 as a degree of freedom for the t-distribution.
Transcribed Image Text:Let's assume that we want to do unpaired two-sample t-test for the following summary of samples. Group N Sample mean Sample SD 1 2 23 i. ii. iii. iv. 19 13.3 12.4 1.7 1.8 Based on the above given data, solve the two subparts below: A) Can we conclude that the Group 1 has significantly larger population mean than Group 2? Evaluate the strength of the evidence based on p-value for the corresponding hypothesis test. Select from the below answer choices and explain why. The is no evidence that the new club does a better job (p-value > 0.1) The is some evidence that the new club does a better job (0.05 ≤ p-value < 0.1) The is strong evidence that the new club does a better job (0.01 ≤ p-value < 0.05) The is very strong evidence that the new club does a better job (0.001 ≤ p-value < 0.1) B) What is the 95% confidence interval for the difference of the population means for the 2 groups in the previous problem (i.e., C.I. for µ₁- µ₂). Use 18 as a degree of freedom for the t-distribution.
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