Question 33, 6.2.35-T Part 1 of 3 HW Score: 79.33%, 27.77 of 35 points ○ Points: 0 of 1 Save Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 48 people, the mean body mass index (BMI) was 29.8 and the standard deviation was 6.08. 6.1 & 6.2 不 Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown. B. Use a normal distribution because the sample is random, the population is normal, and σ is known. C. Use a normal distribution because the sample is random, n ≥ 30, and σ is known. D. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal. this View an example Get more help @ 72 Q Search + 10+ F2 F3 F4 F5 F6 #3 14 W E R % 25 T 0 G F7 + & 27 Y F9 화 BB F8 * 00 8 H B D ( O F10 F11 J K Z X V B N M S Alt Clear all Check answer 4:24 PM 3/18/2024 PRE Delete ➤/11 F12 Insert PrtSc ) O + II { [ 1 ? Backspace Num Lock 7 Home Enter PgUp 4 8 * 144 6 LO 5 PgUp + CO 2 Shift End PgC Alt Ctrl ins Home +PgDn End

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Question 33, 6.2.35-T
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Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can
be used, explain why. Interpret the results.
In a random sample of 48 people, the mean body mass index (BMI) was 29.8 and the standard deviation was 6.08.
6.1 & 6.2
不
Which distribution should be used to construct the confidence interval? Choose the correct answer below.
A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown.
B. Use a normal distribution because the sample is random, the population is normal, and σ is known.
C. Use a normal distribution because the sample is random, n ≥ 30, and σ is known.
D. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown.
E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal.
this
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Transcribed Image Text:Question 33, 6.2.35-T Part 1 of 3 HW Score: 79.33%, 27.77 of 35 points ○ Points: 0 of 1 Save Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 48 people, the mean body mass index (BMI) was 29.8 and the standard deviation was 6.08. 6.1 & 6.2 不 Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown. B. Use a normal distribution because the sample is random, the population is normal, and σ is known. C. Use a normal distribution because the sample is random, n ≥ 30, and σ is known. D. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal. this View an example Get more help @ 72 Q Search + 10+ F2 F3 F4 F5 F6 #3 14 W E R % 25 T 0 G F7 + & 27 Y F9 화 BB F8 * 00 8 H B D ( O F10 F11 J K Z X V B N M S Alt Clear all Check answer 4:24 PM 3/18/2024 PRE Delete ➤/11 F12 Insert PrtSc ) O + II { [ 1 ? Backspace Num Lock 7 Home Enter PgUp 4 8 * 144 6 LO 5 PgUp + CO 2 Shift End PgC Alt Ctrl ins Home +PgDn End
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