Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 5.3, Problem 5.34ACA
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I need help with part B and D
Shelia’s doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 136 milligrams per deciliter (mg/dl) one hour after ingesting a sugary drink. Shelia’s measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 125 mg/dl and σ = 11 mg/dl.
a)What are the mean and standard deviation of the distribution of sample proportion if measurements are made instead on 40 separate days?
b)If measurements are made on 40 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational diabetes?
c)Let’s consider what could happen if we took 40 separate measurements from Shelia. What is the blood glucose level L such that the probability…
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oxygen consumption - measure of the ability to use oxygen in the blood stream (in ml/min)
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Chapter 5 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 5.1 - The probability distribution shown here describes...Ch. 5.1 - Consider the population described by the...Ch. 5.1 - Refer to Exercise 5.3 and find E (x) = Then use...Ch. 5.1 - Refer to Exercise 5.3. Assume that a random sample...Ch. 5.1 - In Example 5.3 we used a computer to generate 1...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Refer to Exercise 5.31. a. Show that x is an...Ch. 5.2 - Refer to Exercise 5.3. a. Find the sampling...
Ch. 5.2 - Refer to Exercise 5.5, in which we found the...Ch. 5.3 - Will the sampling distribution of x always be...Ch. 5.3 - Suppose a random sample of n = 25 measurements is...Ch. 5.3 - Suppose a random sample of n measurements is...Ch. 5.3 - A random sample of n = 64 observations is drawn...Ch. 5.3 - Refer to Exercise 5.18. Find the probability that...Ch. 5.3 - A random sample of n = 900 observations is...Ch. 5.3 - A random sample of n = 100 observations is...Ch. 5.3 - Open the applet Sampling Distributions. On the...Ch. 5.3 - Open the applet Sampling Distributions. On the...Ch. 5.3 - Voltage sags and swells. Refer to the Electrical...Ch. 5.3 - Salary of a travel management professional....Ch. 5.3 - Corporate sustainability of CPA firms. Refer to...Ch. 5.3 - Critical-part failures in NASCAR vehicles. Refer...Ch. 5.3 - Tomato as a taste modifier. Miraculin is a protein...Ch. 5.3 - Prob. 5.28ACICh. 5.3 - Levelness of concrete slabs. Geotechnical...Ch. 5.3 - Video game players and divided attention tasks....Ch. 5.3 - Exposure to a chemical in Teflon-coated cookware....Ch. 5.3 - Rental car fleet evaluation. National Car Rental...Ch. 5.3 - Prob. 5.34ACACh. 5.3 - Handwashing vs. handrubbing. The British Medical...Ch. 5.4 - Suppose a random sample of n measurements is...Ch. 5.4 - Suppose a random sample of n = 500 measurements is...Ch. 5.4 - A random sample of n = 80 measurements is drawn...Ch. 5.4 - A random sample of n = 250 measurements is drawn...Ch. 5.4 - A random sample of n = 1, 500 measurements is...Ch. 5.4 - Consider a population with values of x equal to 0...Ch. 5.4 - Dentists use of laughing gas. According to the...Ch. 5.4 - Cable TV subscriptions and cord cutters ....Ch. 5.4 - Do social robots walk or roll? Refer to the...Ch. 5.4 - Working on summer vacation. According to a Harris...Ch. 5.4 - Hospital work-related injuries. According to an...Ch. 5.4 - Hotel guest satisfaction. Refer to the results of...Ch. 5.4 - Stock market participation and IQ. Refer to The...Ch. 5.4 - Fingerprint expertise. Refer to the Psychological...Ch. 5.4 - Who prepares your tax return? As part of a study...Ch. 5.4 - Apps not working on smartphone. In a survey titled...Ch. 5 - The standard deviation (or, as it is usually...Ch. 5 - Consider a sample statistic A. As with all sample...Ch. 5 - A random sample of 40 observations is to be drawn...Ch. 5 - A random sample of n = 68 observations is selected...Ch. 5 - A random sample of n = 500 observations is...Ch. 5 - A random sample of n = 300 observations is...Ch. 5 - Use a statistical software package to generate 100...Ch. 5 - Use a statistical software package to generate 100...Ch. 5 - Suppose x equals the number of heads observed when...Ch. 5 - A random sample of size n is to be drawn from a...Ch. 5 - Requests to a Web server. In Exercise 4.175 (p....Ch. 5 - Improving SAT scores. Refer to the Chance (Winter...Ch. 5 - Study of why EMS workers leave the job. A study of...Ch. 5 - Downloading apps to your cell phone. Refer to...Ch. 5 - Surface roughness of pipe. Refer to the...Ch. 5 - Analysis of supplier lead time. Lead time is the...Ch. 5 - Producing machine bearings. To determine whether a...Ch. 5 - Quality control. Refer to Exercise 5.68. The mean...Ch. 5 - Length of job tenure. Researchers at the Terry...Ch. 5 - Switching banks after a merger. Banks that merge...Ch. 5 - Piercing rating of fencing safety jackets. A...Ch. 5 - Errors in filling prescriptions A large number of...Ch. 5 - Purchasing decision. A building contractor has...Ch. 5 - Motivation of drug dealers. Refer to the Applied...Ch. 5 - Soft-drink bottles. A soft-drink bottler purchases...
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- Total fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and a population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the “errors” around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. a) Twenty-five (non-statistical) samples of 1 g of cheese drawn from the same container were analyzed for total fat content. In other words, an i.i.d. random sample of size 25 was collected from a normal population of cheese total fat contents with the parameter values given above. b) Calculate the probability that the sample mean takes a value smaller than 2.825 (unit).arrow_forwardTotal fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and a population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the “errors” around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. Twenty-five (non-statistical) samples of 1 g of cheese drawn from the same container were analyzed for total fat content. In other words, an i.i.d. random sample of size 25 was collected from a normal population of cheese total fat contents with the parameter values given above. a) Calculate the median of the sample variance. b) What is the minimum value of n required for the mean total fat content of n samples of 1 g of cheese, to differ from the population mean by more than 0.01 (unit) with a…arrow_forwardTotal fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and a population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the “errors” around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. a) What is the probability that the total fat content of this cheese exceeds 3 (unit)? b) What is the probability that the total fat content varies from 2.8 to 3 (unit)?arrow_forward
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