Exercise 5 The distribution of repeated measurements of the weight of an object is approximately normal with a mean of 9.7800 gm and a standard deviation of 0.0031 gm. a) The chance that the next measurement will be between 9.7840 and 9.8000 gm is equal to 0.0985; b) The proportion of measurements smaller than 9.7794 gm is equal to 0.4247.
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- Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 12 oz. The proportion of infants with birth weights above 125 oz is: a. 0.141. b. 0.233. c. 0.159. d. 0.106.According to United States Department of Agriculture, the average retail price of conventional whole milk at New York City in the year 2020 (up to November 2020 considered) is $3.92 per gallon. The standard deviation in the retail prices in the year 2020 (up to November 2020 considered) is $0.084. You are given a task of selecting randomly a sample of 85 milk bottles (whole milk of 1 gallon volume). a. Calculate µx̅ and σx̅. b. What is the approximate probability that the sample has a mean retail price that exceeds $4.05? c. What is the approximate probability that the sample has a mean retail price between $3.91 and $3.94?A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
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- e.) Examine the graph and visually determine the approximate value of the standard deviation (to the nearest 50 yards per minute). Explain how you obtained your estimate.A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.The weights for a baby boy is normally distributed with a mean score of 7lbs and a standard deviation of 0.8lbs. determine the following:
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