A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Related questions
Question
thumb_up100%
-
The study cited in Exercise 5.3.1 reported an estimated
mean serum cholesterol level of 183 for women aged 20–29 years. The estimated standard deviation was approximately 37. Use these estimates as the mean m and standard deviation s for the U.S. population. If a simple random sample of size 60 is drawn from this population, find the probability that the sample mean serum cholesterol level will be:(a) Between 170 and 195 (b) Below 175 (c) Greater than 190
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
Similar questions
- Suppose that the cost of annual tuition at colleges is normally distributed, with an average annual cost of $13,926.78. The standard deviation of tuition is $4,085.42. What proportion of colleges would be expected to have an annual tuition between the cost of College A with a tuition of $20,106.18 and College B with a tuition of $14,829.01?arrow_forwardAfter numerous studies, it is estimated that the age of college students follows a normal distribution with a mean of 20.7 years and a standard deviation of 1.8 years. A random sample of 16 college students is taken and the sample mean and sample standard deviation are found to be 21.5 years and 2.3 years, respectively. a.Is the sample average of 21.5 considered an outlier (in other words, what is the chance of getting a sample mean at least as large as 21.5 assuming μ and σ are correct)? b. The calculated value of the sample standard deviation is larger than σ, is 2.3 years enough larger than 1.8 that the estimate of σ does not seem reasonable? Use probability to support your conclusion c.No matter what you got for an answer in part b, assume we no longer trust σ = 1.8 to be valid. Calculate the same probability as you did in part a, but this time, assume that σ is unknown.arrow_forwardCalculate the SEM (standard error of the mean) for the following data:a. Population standard deviation = 15b. Sample size = 25arrow_forward
- Weights of Adult Coho Salmon are normally distributed with a mean of 9.3pounds and a standard deviation of0.6pounds. a. What percent of these Salmonweigh no less than 10.0pounds? b. If 20 of these Salmon are chosen at random, what is the chance their average weight is no less than 10.0pounds? c. Find the 90thpercentilefor the weight of these salmon.arrow_forwardin a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and the standard deviation was 7083 mikes. if the shape of the population distribution is known to be normal, approximately what percentage of the tires lasts less than 20834 miles ?arrow_forwardThe WAIS is an IQ test. Scores on the WAIS for the 20-34 age group are normally distributed with a mean 110 and a standard deviation of 25. Scores for the 60-64 age group are normally distributed with a mean of 90 and a standard deviation of 25. Find the percent of 20-34-year-olds that have an IQ greater than 120. a. 16% b. z= 0.4 or 40% c. 0.6554 or 65.54% d. 0.3446 or 34.46%arrow_forward
- 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?arrow_forwardIn nutrition, the recommended daily allowance of vitamins is a number set by the government to guide an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the standard deviation and the average need for vitamins among people in the population. The recommended daily allowance is then defined as the mean plus 2.7 times the standard deviation. What fraction of the population will receive adequate amounts of vitamins under this plan? Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The fraction of the population that will receive adequate amounts of vitamins under the given plan is (Type an integer or decimal rounded to the nearest thousandth as needed.)arrow_forwardA developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.arrow_forward
- A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?arrow_forwardFind the range, vanance, and standard deviation for the given sample data. Include appropriate units in the results. Listed below are the measured radiation absorption rates (in Wikg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use? 1.16 0.82 0.51 0.69 1.11 0.82 0.69 0.75 0.52 0.53 1.34arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON