A media statistics agency reports that the mean number of televisions in a household in a particular country is 2.24. Assume that the population standard deviation number of televisionsets in this country is 1.38.(a) What type of variable is number of television sets in a household?(b) A random sample of 40 households results in a total of 102 television sets. What is the mean number of televisions in these 40 households?(c) What is the probability of obtaining the sample mean obtained in part (b) or higher if the population mean is 2.24?(a) The variable is(b) The mean is x =televisions.(Type an integer or a decimal. Do not round.)***(c) The probability of obtaining a total of 102 television sets or more from a random sample of 40 households is(Round to four decimal places as needed.)

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Answered: A media statistics agency reports 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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What is the probability of randomly selecting 90 observations from a population whose mean is 100 and whose standard deviation is 15.7 and finding that the mean is between 102 and 105.
Suppose that you have a large number of potatoes. The mean weight of the potatoes is 7.4 ounces with a standard deviation of 2.2 ounces. We may assume a normal distribution. c) If you choose 40 potatoes at random, what is the probability that the mean of this sample of 40 potatoes is more than 7.5 ounces?
7. Furnace repair bills are normally distributed with a mean of 267 dollars and a standard deviation of 20 dollars. If 74 of these repair bills are randomly selected, find the probability that they have a mean cost between 267 dollars and 269 dollars.
The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1250 who were over the age of 25, and 973 of them were high school graduates. (a) Find the mean and standard deviation for the total number of high school graduates in random groups of 1250 Americans who are over the age of 25. b. Is that county result of 973 unusually high, or low, or neither?
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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Among the details made by the motor factory, 10% are defective. Find the meanand the standard deviation of the number of defective details among 8 randomly chosen.What is the probability that not more than 2 details among them are defective?
Q)In a certain large university, students spend on average $75 a month on pizza, with a standard deviation of $24.30.A marketing specialist plans to survey 225 students, and ask them to record how much they spent on pizza during April.(a) What would be the standard deviation of the sample mean?(b) What is the probability that the researcher will get a sample mean less than $72.5?
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Suppose that you have a large number of potatoes. The mean weight of the potatoes is 7.4 ounces with a standard deviation of 2.2 ounces. We may assume a normal distribution. b) If you choose 45 potatoes at random, what is the probability that the mean of this sample of 45 potatoes is less than 7 ounces?

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