The test statistic is . (Round to two decimal places as needed.)

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The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 21.6, 21.9, 21, and 21.2. O Assume Normality.
a. Using a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 20 pounds using a significance level of 0.05? Why or why not? The confidence interval is reported here: I am 95% confident the
population mean is between 20.8 and 22.1 pounds.
b. Test the hypothesis that the population mean is not 20. Use a significance level of 0.05.
c. Choose one of the following conclusions:
i. We cannot reject a population mean of 20 pounds.
ii. We can reject a population mean of 20 pounds.
iii. The population mean is 21.425 pounds.
a. Choose the correct answer below.
A. Reject the hypothesis, because the interval does not contain the proposed mean.
B. Do not reject the hypothesis, because the interval contains the proposed mean.
Do not reject the hypothesis, because the interval does not contain the proposed mean.
D. Reject the hypothesis, because the interval contains the proposed mean.
E. There is insufficient information to determine if the hypothesis should be rejected.
b. Determine the null and alternative hypotheses. Choose the correct answer below.
A. Ho: µ= 20
Hai µ# 20
В. Но: и> 20
Ha: µs 20
O C. Ho: µ< 20
Ha: u2 20
D. Ho: µ = 20
Hai u> 20
E. Ho: µ = 20
Ha: µ<20
O F. Ho: µ#20
Ha: µ= 20
The test statistic is.
(Round to two decimal places as needed.)
Transcribed Image Text:The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 21.6, 21.9, 21, and 21.2. O Assume Normality. a. Using a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 20 pounds using a significance level of 0.05? Why or why not? The confidence interval is reported here: I am 95% confident the population mean is between 20.8 and 22.1 pounds. b. Test the hypothesis that the population mean is not 20. Use a significance level of 0.05. c. Choose one of the following conclusions: i. We cannot reject a population mean of 20 pounds. ii. We can reject a population mean of 20 pounds. iii. The population mean is 21.425 pounds. a. Choose the correct answer below. A. Reject the hypothesis, because the interval does not contain the proposed mean. B. Do not reject the hypothesis, because the interval contains the proposed mean. Do not reject the hypothesis, because the interval does not contain the proposed mean. D. Reject the hypothesis, because the interval contains the proposed mean. E. There is insufficient information to determine if the hypothesis should be rejected. b. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: µ= 20 Hai µ# 20 В. Но: и> 20 Ha: µs 20 O C. Ho: µ< 20 Ha: u2 20 D. Ho: µ = 20 Hai u> 20 E. Ho: µ = 20 Ha: µ<20 O F. Ho: µ#20 Ha: µ= 20 The test statistic is. (Round to two decimal places as needed.)
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