a. A company owns five machines that are used to manufacture the shoes. Theaverage duration each machine can operate (in Months) without needing anymaintenance work is as follows:2322273022i. Find the mean and the standard deviation for the machines.ii. List all possible samples of size 4 (without replacement) that can be selectedfrom the data and calculate the mean for each sample.iii. Construct the probability sampling distribution of x.

Given: The population consists of 5 values. They are: 23, 22, 27, 30, 22

Answered: a. A company owns five machines that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution. (b) Determine a 90% confidence interval for the mean time for all players.
Beef Consumption. According to Food Consumption, Prices, and Expenditures, published by the U.S. Department of Agriculture, the mean consumption of beef per person in 2011 was 57.5 lb. A sample of 40 people taken this year yielded the data, in pounds, on last year’s beef consumption given on the WeissStats site. Use the technology of your choice to do the following. a. Obtain a normal probability plot, a boxplot, a histogram, and a stem-and-leaf diagram of the data on beef consumptions. b. Decide, at the 5% significance level, whether last year’s mean beef consumption is less than the 2011 mean of 57.5 lb. Apply the onemean t-test. c. The sample data contain four potential outliers: 0, 0, 0, and 13. Remove those four observations, repeat the hypothesis test in part (b), and compare your result with that obtained in part (b). d. Assuming that the four potential outliers are not recording errors, comment on the advisability of removing them from the sample data before performing the…
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Dut Trenta and his friends play a game where they will win the amount indicated in the boxes they will pick. In Box 1, 2, 3, 4, 5, and 6, the prizes are 500, 1000, 500, 800, 1500, and 2000 respectively. A random sample of 3 boxes were selected without replacement. Let X be the amount indicated inside a box. a. Find the sampling distribution of ?. b. Find the mean and standard deviation of ?.
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X= the number of pairs of sneakers owned. The results are as follows: X Frequency Relative Frequency Cumulative Relative Frequency 1 2 2 5 3 8 4 12 5 12 7 1 a.) Find the sample mean x. (Round your answer to two decimal places.) b.) Find the sample standard deviation, s. (Round your answer to two decimal places.) c.) Find the first quartile. d.) Find the median. e.) find the 3rd quartile f.) What percent of the students owned at least five pairs? (Round your answer to one decimal place.) g.) Find the 40th percentile. h.) find the 90th percentile İ) Contruct a box plot of the data j) complete the columns of the chart k) construct a histogram of the data
The annual salary for one particular occupation is normally distributed, with a mean of about $132,000 and a standard deviation of about $16,000. Random samples of 26 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.
Construct all random samples consisting two observations from the given data. You are asked to guess the average weight of the six watermelons by taking a random sample without replacement from the population. Watermelon A, B, C, D, E, and F has a weight (in pounds) 19,14,15,9,10 and 17 respectively.k. What is the variance of the sampling distribution of the sample means?l. What is the probability of getting 18.00 as a mean?m. What is the probability of getting 15 as a mean?n. What is the standard deviation of the sampling distribution of the sample means?o. What is the probability of getting 14.50 as a mean?p. What is the probability of getting 16.50 as a mean?
The following are the number of cars passing a point on a highway per minute. 10 12 11 19 21 21 23 22 24 25 23 21 28 26 62 Is there any outlier in the data above? Which data? Show step by step to find 7 samples from the data above using simple random sampling method. List down all the sample data you obtained from (h).
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 44 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 44 births. The value of the mean is (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 35 girls a result that is significantly high? What does it…
70 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows: # of Siblings 0 1 2 3 4 5Frequency 8 13 17 12 11 9 Round all your answers to 4 decimal places where possible. The mean is: The median is: The sample standard deviation is:

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