Question

In: Math

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 2 inches.

(a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (Round your answer to four decimal places.)


(b) If a random sample of twenty-nine 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 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 larger 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 lower because the standard deviation is smaller for the x distribution.The probability in part (b) is much higher because the mean is smaller for the x distribution.The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

Solutions

Expert Solution

------------------------------------------------------------------------------------------------------------------------------------

---------------------------------------------------------------------------------------------------------------------------------


Related Solutions

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twelve 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 3inches. (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 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 67 and 69 inches? (Round your answer to four decimal places.)
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 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 67 and 69 inches? (Round your answer to four decimal places.) (c) Compare...
The heights of 18-year-old men are approximately normally distributed with a mean of 68 inches and...
The heights of 18-year-old men are approximately normally distributed with a mean of 68 inches and a standard deviation of 3 inches. (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (b) For a sample of 36 18-year-old men, what is the probability that the average of their heights is between 67 and 69 inches?
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation...
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the height of an 18-year-old man selected at random is between 66 inches and 67 inches? 0.8807 0.4283 0.1193 0.3807 0.1333.
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation...
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of twenty 18-year-old men will be less than 69 inches? Round your answer to four decimal places.
8.The heights of 18 year old men are approximately normally distributed, with mean 68 inches and...
8.The heights of 18 year old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches. If a random sample of nine 18 year old men is selected, what is the probability that the mean height ?̅ is between 67 and 69 inches? ___________________ 9. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. 95 173 129 95 75 94 116 100 85 ?̅ = 106.9 ??? ? =...
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. b) If a random sample of thirteen 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.) _________________ Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x...
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 5 inches. (a) 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.) (b) If a random sample of twenty-four 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.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches and standard deviation 5 inches. 1. What is the probability that an 18-year-old man selected at random is between 71 and 73 inches tall? (Round your answer to four decimal places.) __________________ 2. If a random sample of fourteen 18-year-old men is selected, what is the probability that the mean height x is between 71 and 73 inches? (Round your answer to four decimal places.) _________________...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT