The distribution of weights (rounded to the nearest whole number) of all boxes of a certain cereal is approximately normal with mean 20 ounces and standard deviation 2 ounces. A sample of the cereal boxes was selected, and the weights of the selected boxes are summarized in the histogram shown. 35 30 25 20 15 10 15 16 17 18 19 20 21 22 23 24 25 Weight of a Box of Cereal (ounces) Part A: If w is the weight of a box of cereal, which range of weights includes all of the weights of cereal boxes that are within 1.5 standard deviations of the mean? [Select] Part B: Which of these values is the best estimate of the number of boxes in the sample with weights that are more than 1.5 standard deviations above the mean? [ Select] Number of Boxes

The distribution of weights (rounded to the nearest whole number) of all boxes of a certain cereal is approximately normal with mean 20 ounces and standard deviation 2 ounces. A sample of the cereal boxes was selected, and the weights of the selected boxes are summarized in the histogram shown. 35 30 25 20 15 10 15 16 17 18 19 20 21 22 23 24 25 Weight of a Box of Cereal (ounces) Part A: If w is the weight of a box of cereal, which range of weights includes all of the weights of cereal boxes that are within 1.5 standard deviations of the mean? [Select] Part B: Which of these values is the best estimate of the number of boxes in the sample with weights that are more than 1.5 standard deviations above the mean? [ Select] Number of Boxes

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Need help with this one in part D.
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 3 9. 11 16 6 10 12 17 11 16 13 17 7 The range of the sample data is (Round to one decimal place as needed.)
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. How useful are the measures of variation for someone searching for a room? 240 82 93 259 88 192 86 264 Question content area bottom Part 1 The range of the sample data is 182182 dollars.dollars. (Round to one decimal place as needed.) Part 2 The standard deviation of the sample data is 83.883.8 dollars.dollars. (Round to one decimal place as needed.) Part 3 The variance of the sample data is enter your response here ▼ nights squared .nights2. nights.nights. dollars squared .dollars2. dollars.dollars. (Round to one decimal place as needed.)
W Listed below are the measured radiation rates in corresponding to these cell phones: iPhone X, kg HTC Desire 310, LG G3, Motorola VE465, OnePlus 5, and Samsung Galaxy S8. The data are from the Federal Communications Commission. Find the range, variance, and standard deviation for the given sample data. Are any of the resulting statistics helpful in selecting a cell phone for purchase? 0.97 0.65 0.48 1.09 1.37 1.52 O The range is (Type an integer or decimal rounded to three decimal places as needed.)
A survey was given to 18 employees. One question asked about the one-way distance the employee had to travel for work. The results, in kilometers, are shown below. Kilometers Traveled for Work 12 10 18 3 4 28 5 32 26 10 41 85 1 7 8 5 10 15 Find the first quartile of the data.
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…