The median undergraduate grade point average (GPA) for students accepted at a random sample of 15 medical schools in a country was taken. The mean GPA for these accepted students was 3.75 with a standard error of 0.05. The distribution of undergraduate GPAs is Normal. Complete parts (a) and (b). a. Decide which of the following statements is worded correctly for the confidence interval. Fill in the blanks for the correctly worded one. Explain the error for the ones that are incorrectly worded. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed. Use ascending order.) OA. We are 95% confident that the sample mean is between OB. We are 95% confident that the population mean is between OC. There is a 95% probability that the population mean is between and and and Explain the error for the choice "We are 95% confident that the sample mean is between, and "Choose the correct answer below. OA. The wording is not correct because it does not indicate that there is only a "probability" that the confidence interval is within the bounds. OB. The wording is not correct because it references the sample mean. The value of the sample mean is known exactly and does not need a confidence interval. OC. The wording is not correct because it references the sample mean. Neither the exact value nor an unbiased estimate of the sample mean can be found. OD. There is no error. The choice is worded correctly. Explain the error for the choice "We are 95% confident that the population mean is between and ." Choose the correct answer below. OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found. ↓ The median undergraduate grade point average (GPA) for students accepted at a random sample of 15 medical schools in a country was taken. The mean GPA for these accepted students was 3.75 with a standard error of 0.05. The distribution of undergraduate GPAs is Normal. Complete parts (a) and (b). Explain the error for the choice "We are 95% confident that the population mean is between and ." Choose the correct answer below. OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found. B. The wording is not correct because it references the population mean. The value of the population mean is known exartly and does not need a confidence interval. OC. The wording is not correct because it does not indicate that there is only a "probability" that the confidence interval is within the bounds. OD. There is no error. The choice is worded correctly. Explain the error for the choice "There is a 95% probability that the population mean is between and ." Choose the correct answer below. OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found. OB. The wording is not correct because it indicates that there is a "95% probability" that the population mean is in the interval, when it should indicate that there is "95% confidence" instead. OC. The wording is not correct because it references the population mean. The value of the population mean is known exactly and does not need a confidence interval. OD. There is no error. The choice is worded correctly. b. Based on your confidence interval, would you believe that the population mean GPA is 3.78? Why or why not? Since 3.78 within the bounds of the confidence interval, it plausible that the population mean GPA is 3.78.

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Author:Amos Gilat
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Part a through b please. Thank you!
The median undergraduate grade point average (GPA) for students accepted at a random sample of 15 medical schools in a country was taken. The mean GPA for these accepted students was
3.75 with a standard error of 0.05. The distribution of undergraduate GPAs is Normal. Complete parts (a) and (b).
a. Decide which of the following statements is worded correctly for the confidence interval. Fill in the blanks for the correctly worded one. Explain the error for the ones that are incorrectly worded.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed. Use ascending order.)
OA. We are 95% confident that the sample mean is between
OB. We are 95% confident that the population mean is between
OC. There is a 95% probability that the population mean is between
and
and
and
Explain the error for the choice "We are 95% confident that the sample mean is between,
and
"Choose the correct answer below.
OA. The wording is not correct because it does not indicate that there is only a "probability" that the confidence interval is within the bounds.
OB. The wording is not correct because it references the sample mean. The value of the sample mean is known exactly and does not need a confidence interval.
OC. The wording is not correct because it references the sample mean. Neither the exact value nor an unbiased estimate of the sample mean can be found.
OD. There is no error. The choice is worded correctly.
Explain the error for the choice "We are 95% confident that the population mean is between
and
." Choose the correct answer below.
OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found.
Transcribed Image Text:The median undergraduate grade point average (GPA) for students accepted at a random sample of 15 medical schools in a country was taken. The mean GPA for these accepted students was 3.75 with a standard error of 0.05. The distribution of undergraduate GPAs is Normal. Complete parts (a) and (b). a. Decide which of the following statements is worded correctly for the confidence interval. Fill in the blanks for the correctly worded one. Explain the error for the ones that are incorrectly worded. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed. Use ascending order.) OA. We are 95% confident that the sample mean is between OB. We are 95% confident that the population mean is between OC. There is a 95% probability that the population mean is between and and and Explain the error for the choice "We are 95% confident that the sample mean is between, and "Choose the correct answer below. OA. The wording is not correct because it does not indicate that there is only a "probability" that the confidence interval is within the bounds. OB. The wording is not correct because it references the sample mean. The value of the sample mean is known exactly and does not need a confidence interval. OC. The wording is not correct because it references the sample mean. Neither the exact value nor an unbiased estimate of the sample mean can be found. OD. There is no error. The choice is worded correctly. Explain the error for the choice "We are 95% confident that the population mean is between and ." Choose the correct answer below. OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found.
↓
The median undergraduate grade point average (GPA) for students accepted at a random sample of 15 medical schools in a country was taken. The mean GPA for these accepted students was
3.75 with a standard error of 0.05. The distribution of undergraduate GPAs is Normal. Complete parts (a) and (b).
Explain the error for the choice "We are 95% confident that the population mean is between
and
." Choose the correct answer below.
OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found.
B. The wording is not correct because it references the population mean. The value of the population mean is known exartly and does not need a confidence interval.
OC. The wording is not correct because it does not indicate that there is only a "probability" that the confidence interval is within the bounds.
OD. There is no error. The choice is worded correctly.
Explain the error for the choice "There is a 95% probability that the population mean is between
and
." Choose the correct answer below.
OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found.
OB. The wording is not correct because it indicates that there is a "95% probability" that the population mean is in the interval, when it should indicate that there is "95% confidence" instead.
OC. The wording is not correct because it references the population mean. The value of the population mean is known exactly and does not need a confidence interval.
OD. There is no error. The choice is worded correctly.
b. Based on your confidence interval, would you believe that the population mean GPA is 3.78? Why or why not?
Since 3.78
within the bounds of the confidence interval, it
plausible that the population mean GPA is 3.78.
Transcribed Image Text:↓ The median undergraduate grade point average (GPA) for students accepted at a random sample of 15 medical schools in a country was taken. The mean GPA for these accepted students was 3.75 with a standard error of 0.05. The distribution of undergraduate GPAs is Normal. Complete parts (a) and (b). Explain the error for the choice "We are 95% confident that the population mean is between and ." Choose the correct answer below. OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found. B. The wording is not correct because it references the population mean. The value of the population mean is known exartly and does not need a confidence interval. OC. The wording is not correct because it does not indicate that there is only a "probability" that the confidence interval is within the bounds. OD. There is no error. The choice is worded correctly. Explain the error for the choice "There is a 95% probability that the population mean is between and ." Choose the correct answer below. OA. The wording is not correct because it references the population mean. Neither the exact value nor an unbiased estimate of the population mean can be found. OB. The wording is not correct because it indicates that there is a "95% probability" that the population mean is in the interval, when it should indicate that there is "95% confidence" instead. OC. The wording is not correct because it references the population mean. The value of the population mean is known exactly and does not need a confidence interval. OD. There is no error. The choice is worded correctly. b. Based on your confidence interval, would you believe that the population mean GPA is 3.78? Why or why not? Since 3.78 within the bounds of the confidence interval, it plausible that the population mean GPA is 3.78.
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