The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found to be 5.2, 5.0, 5.1, and 5.4 pounds. Assume Normality. Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of tomatoes. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds? OA. The interval captures 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. B. The interval does not capture 5.0 pounds, so there not is enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. OC. The interval captures 5.0 pounds, so there is not enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. OD. The interval does not capture 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. OE. There is insufficient information to make a decision regarding the rejection of 5.0 pounds. The sample size of 4 bags is less than the required 25.

MATLAB: An Introduction with Applications
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7) Part a and b please.
The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found to be 5.2, 5.0, 5.1, and 5.4 pounds. Assume Normality. Answer parts (a) and (b)
below.
a. Find a 95% confidence interval for the mean weight of all bags of tomatoes.
(Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.)
b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds?
OA. The interval captures 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds.
B. The interval does not capture 5.0 pounds, so there not is enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds.
OC. The interval captures 5.0 pounds, so there is not enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds.
OD. The interval does not capture 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds.
OE. There is insufficient information to make a decision regarding the rejection of 5.0 pounds. The sample size of 4 bags is less than the required 25.
Transcribed Image Text:The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found to be 5.2, 5.0, 5.1, and 5.4 pounds. Assume Normality. Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of tomatoes. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds? OA. The interval captures 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. B. The interval does not capture 5.0 pounds, so there not is enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. OC. The interval captures 5.0 pounds, so there is not enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. OD. The interval does not capture 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. OE. There is insufficient information to make a decision regarding the rejection of 5.0 pounds. The sample size of 4 bags is less than the required 25.
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