Question

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 2 inches.

(a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.)


(b) If a random sample of ten 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)


(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?

The probability in part (b) is much higher because the mean is smaller for the x distribution.The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.    The probability in part (b) is much higher because the standard deviation is larger for the x distribution.The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.The probability in part (b) is much higher because the mean is larger for the x distribution.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.) (b) If a random sample of thirty 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 1 inches. (a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.) (b) If a random sample of nineteen 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 1 inches. (a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-six 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 2 inches. (a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.) (b) If a random sample of eleven 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 3 inches. (a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-five 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard deviation 6 inches. (a) What is the probability that an 18-year-old man selected at random is between 69 and 71 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty 18-year-old men is selected, what is the probability that the mean height x is between 69 and 71 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 2 inches. 1. What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.) ________________ 2. If a random sample of twenty-eight 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.) _________________...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 73 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 73 inches and standard deviation 2 inches. (a) What is the probability that an 18-year-old man selected at random is between 72 and 74 inches tall? (Round your answer to four decimal places.) (b) If a random sample of eleven 18-year-old men is selected, what is the probability that the mean height x is between 72 and 74 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 64 and 66 inches tall? (Round your answer to four decimal places.) (b) If a random sample of nineteen 18-year-old men is selected, what is the probability that the mean height x is between 64 and 66 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches. (b) If a random sample of twenty-seven 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT