York Corporation manufactures an Al car that requires three AA batteries. The mean life of these batteries in thisproduct is 35.0 hours. The battery life is known to be normally distributed with a standard deviation of 5.5 hours.As part of its testing program, Adam tests a sample of 25 batteries.a. What is the standard error of the distribution of the sample mean?b. What is the probability that the sample mean life is between 34.5 and 36.0 hours?

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Answered: York Corporation manufactures an Al car…

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...

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In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 31 mpg and a standard deviation of 1.7 mpg. Suppose that the car manufacturer samples seven cars from its assembly line and tests them for mileage ratings. a. What is the distribution of the mean mpg for the sample? b. What is the probability that the mean mpg of the sample will be greater than 32 mpg? c. What is the probability that the mean mpg of the sample will be less than 30.5 mpg? End a. What is the distribution of the mean mpg for the sample? Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to two decimal places as needed.) O A. The sampling distribution of the mean follows an exponential distribution with the sample mean OB. The sampling distribution of the mean follows a normal distribution with the sample mean OC. The sampling distribution of the mean follows a…
Body mass index (BMI) is a medical screening tool that measures body fat in an individual based on height and weight. The following data sets include four random samples of BMI measurements. Each sample includes the measurements of 7 individuals. Use the range rule of thumb to estimate the standard deviation, then determine which sample has the most variation. Sample 1 25.8,39.2,32.2,18.7,22.7,28.8,25.4 Sample 2 24.5,33.3,31.7,45.9,23.4,28.2,25.8 Sample 3 30.8,19.2,29.9,25.6,28.8,31.0,27.3 Sample 4 31.8,23.9,29.1,52.6,23.6,31.1,20.6
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.1 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 poundsb. More than 56 poundsc. Between 55 and 57 poundsd. Less than 54 poundse. Less than 48 pounds(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)a. enter the probability that the sample mean will be more than 58 poundsb. enter the probability that the sample mean will be more than 56 poundsc. enter the probability that the sample mean will be between 55 and 57 poundsd. enter the probability that the sample mean will be less than 54 poundse. enter the probability that the sample mean will be less than 48 pounds
The mean annual incomes of certified welders are normally distributed with the mean of $50,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. A study conducted using 100 certified welders showed that their annual income is $50,250 with a sample standard deviation of $1050. What is the test statistic for this test? a. 2.381 b. 1.673 c. 1.367 d. 2.869
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.Refer to Exhibit 6-5. What is the random variable in this experiment? a. 8 ounces b. Weight of items produced by a machine c. Normal distribution d. 2 ounces
A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings is selected. What is the standard deviation of the sampling distribution of the sample proportions of health-care workers having bacteria on one or both hands? A. 100 B. 0.0462 C. 0.69
A report stated that after obtaining a bachelor's degree, 43% of college students enroll in a graduate degree program. For a random sample of 61 undergraduate students, find the mean, variance and standard deviation for the number of students who will enroll in a graduate degree program after obtaining a bachelor's degree. a.) mean b.) variance c.) standard deviation (round to two decimal places)
Find the mean and standard deviation of the following list of weights(in pounds) of boston terriers at a per store: 9,18,13,14,18,7,6,12,17,20 CS Scanned with CamScanner
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Records from the Washington Department of Licensing show that 47 former SFCC business students have incorporated their own businesses in the last five years. Eight of these students are selected at random and contacted. Each is asked how many people are employed by their corporation. The responses are: 7, 12, 13, 17, 10, 5, 10, and 6 employees. What is your best estimate of the standard deviation of the number of employees for all 47 corporations?
A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.
A sample of underweight babies was fed a special diet and the following weight gains (lbs.) were observed at the end ofthree months.6.7 5.8 4.8 3.6 4.7 4.6 5.2 5.9 4.5The mean and standard deviation respectively are:a. 5.09, 0.92 b. 5.1, 0.87 c. 5.08, 8.7 d. 5.09, 0.87 e. none of these

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