Psychologists at an university compared the levels of alcohol consumption of male and female freshman students. Each student was asked to estimate the amount of alcohol (beer, wine, or liquor) they consume in a typical week. Summary statistics for 126 males and 183 females are provided in the accompanying table. Click here to view the table. a. For each gender, find a 95% confidence interval for mean weekly alcohol consumption. For males, the 95% confidence interval is (0) (Round to the nearest hundredth as needed.) For females, the 95% confidence interval is (.). (Round to the nearest hundredth as needed.) b. Prior to sampling, what is the probability that at least one of the two confidence intervals will not contain the population mean it estimates. Assume that the two intervals are independent. The probability is. (Round to four decimal places as needed.) c. Based on the two confidence intervals, what inference can you make about which gender consumes the most alcohol, on average, per week? OA. The males consume the most alcohol, on average, per week. OB. There is not enough information to answer this question. OC. The females consume the most alcohol, on average, per week. Data table Sample size, n Mean (ounces), x Standard deviation, S Males 126 16.76 13.53 Females 183 10.72 11.53 - X

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Psychologists at an university compared the levels of alcohol consumption of male and female freshman students. Each student was asked to estimate the amount of alcohol (beer, wine, or liquor)
they consume in a typical week. Summary statistics for 126 males and 183 females are provided in the accompanying table.
Click here to view the table.
a. For each gender, find a 95% confidence interval for mean weekly alcohol consumption.
For males, the 95% confidence interval is (0)
(Round to the nearest hundredth as needed.)
←
For females, the 95% confidence interval is (.).
(Round to the nearest hundredth as needed.)
b. Prior to sampling, what is the probability that at least one of the two confidence intervals will not contain the population mean it estimates. Assume that the two intervals are independent.
The probability is. (Round to four decimal places as needed.)
c. Based on the two confidence intervals, what inference can you make about which gender consumes the most alcohol, on average, per week?
OA. The males consume the most alcohol, on average, per week.
OB. There is not enough information to answer this question.
OC. The females consume the most alcohol, on average, per week.
Data table
Sample size, n
Mean (ounces), x
Standard deviation,
S
Males
126
16.76
13.53
Females
183
10.72
11.53
- X
Transcribed Image Text:Psychologists at an university compared the levels of alcohol consumption of male and female freshman students. Each student was asked to estimate the amount of alcohol (beer, wine, or liquor) they consume in a typical week. Summary statistics for 126 males and 183 females are provided in the accompanying table. Click here to view the table. a. For each gender, find a 95% confidence interval for mean weekly alcohol consumption. For males, the 95% confidence interval is (0) (Round to the nearest hundredth as needed.) ← For females, the 95% confidence interval is (.). (Round to the nearest hundredth as needed.) b. Prior to sampling, what is the probability that at least one of the two confidence intervals will not contain the population mean it estimates. Assume that the two intervals are independent. The probability is. (Round to four decimal places as needed.) c. Based on the two confidence intervals, what inference can you make about which gender consumes the most alcohol, on average, per week? OA. The males consume the most alcohol, on average, per week. OB. There is not enough information to answer this question. OC. The females consume the most alcohol, on average, per week. Data table Sample size, n Mean (ounces), x Standard deviation, S Males 126 16.76 13.53 Females 183 10.72 11.53 - X
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