Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability.In a sample of 800 gas stations, the mean price for regular gasoline at the pump was $2.882 per gallon and the standard deviation was $0.009 per gallon. A random sample of size 50 is drawn fromthis population. What is the probability that the mean price per gallon is less than $2.878?The probability that the mean price per gallon is less than $2.878 is 0.0006.(Round to four decimal places as needed.)

Answered: Determine if the finite correction…

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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The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Suppose we randomly sample 200 people. Let X = the number of people who will develop pancreatic cancer. b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X. c. Use your calculator to find the probability that at most eight people develop pancreatic cancer d. Is it more likely that five or six people will develop pancreatic cancer? Justify your answer numerically.
A population has a mean u = 90 and a standard deviation o = 30. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 231. H = (Simplify your answer.)
a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
Assume that the heights of women are normally distributed with a mean of 63 inches and a standard deviation of 1.4 inches. Find Qa, the third quartile that separates the bottom 75% from the top 25%. Click to view page 1 of the table. Click to view page 2 of the table. O A. 62.1 B. 63.9 O C. 64.6 O D. 64.8
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A population has a mean of 90 and a standard deviation of 10. A sample of 100 observations will be taken. The probability that the mean from that sample will be less than 92 is
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Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The weight of garbage produced per household per week has an average value of approximately 9.3 pounds. The standard deviation of garbage per household per week has been measured to be 2.7 pounds. You have a garbage hauling company and need to know the probability of hauling heavy loads of garbage. How would you calculate the probability that your company will be hauling garbage loads greater than 12 pounds per household during a weekly pick-up? probability. Set up your calculation correctly. You DO NOT need to calculate the
A population has a mean μ = 70 and a standard deviation o=36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 81. H=(Simplify your answer.) = (Simplify your answer.)
Minister of Education Inese Puuce measured the English test scores of every child in the Grand Duchy of Vidzeme. Minister Puuce found that roughly the same number of kids got As and Fs, but very few children got Cs. Does she have a normal distribution or not? Why or why not?
The median annual cost of auto insurance is $ 939 (According to DACO). Suppose the standard deviation is o = $ 241. What is the probability that in a simple random sample of auto insurance policies the sample mean differs more than $ 70.42 from the population mean if the sample size is 45? You must calculate the probability that the difference between the average cost in the sample and the average annual cost do not differ by $ 70.42. Find the probability that P (\ µ - š | 0) = P (-70.42 H-iS 70.42) Select one: a. The probability is 99% that the auto policy will not differ by $ 70.42 from the average annual cost. b. The probability is 50% that the auto policy will not differ by $ 70.42 from the average annual cost. c. The probability is 80% that the auto policy will not differ by $ 70.42 from the average annual cost. d. The probability is 70% that the auto policy will not differ by $ 70.42 from the average annual cost. e. The probability is 95% that the auto policy will not differ by $…

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