Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches and standard deviation 4 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 eleven 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 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 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 standard deviation is smaller for the x distribution.

The weights of truffles follow a normal distribution, with a mean weight of 347 grams and a standard deviation of 15.3 grams.  When out truffle hunting, what is the probability that of finding a single truffle that is 300 grams or less?  More than 370?  between 300 and 370 grams?

For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 526. What is the probability that a sample of 35 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places: Round your answer to at least three decimal places. Submit Assignment 2021 McGraw Hil LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility US Continue V O 8:19 hp esc 2# 8. 3 4. t 00

Suppose the heights of 18 year old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches. What is the probability that an 18 year old man selected at random is between 70 and 72 inches tall?  if random sample of twenty-nine 18 year old men is selected, what is the probability that the mean height x is between 70 and 72 inches?  compare your answers to parts a and b. Is the probability in part b much higher? Why

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard deviation 4 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 twelve 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.)

Suppose a batch of steel rods produced at a steel plant have a mean length of 178 millimeters, and a standard deviation of 12 millimeters. If 76 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than 0.56 millimeters? Round your answer to four decimal places.

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.32 feet and a standard deviation of 0.40 feet. A sample of 83 men’s step lengths is taken.   Step 1 of 2 :   Find the probability that an individual man’s step length is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.

r a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of  510  and a standard deviation of  170 . The grading process of this year's exam has just begun. The average score of the  40  exams graded so far is  526 . What is the probability that a sample of  40  exams will have a mean score of  526  or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Suppose (rounded to the nearest thousand) that the mean cost of a house is $152,000 with a standard deviation of $44,000 in Pittsburgh and that house prices are normally distributed. Between what two prices do the middle 95% of houses fall in Pittsburgh?  Find the probability that a house costs less than $100,000.  If you are in the market for one of the most expensive 10% of houses, what price range are you exploring?