Commuting times for employees of a local company have a mean of 63.6 minutes and a standard deviation of 3 minutes. What does Chebyshev's Theorem say about the percentage of employees with commuting times between 56.1 minutes and 71.1 minutes?

Q: Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a…

A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…

Q: Find the proportion of customers who use ATMs less than times 55. Use four decimal places for your…

A: It is given that  From first data: Mean, μ = 40 Standard deviation, σ = 11.3   From second data:…

Q: A report about how American college students manage their finances includes data from a survey of…

A: Population mean = ? = 907 Sample S.D = s =205 Sample size = n =500 Sample mean = x̅ = 825

Q: A student graduated from a 4-year college with an outstanding loan of $9650 where the average debt…

A: Given, X1 =9650,  = 8455,  =1865, X2 = 12360,  = 10326,  = 2143 Z score = x-μσ

Q: Hospital waiting room times are normally distributed with a mean of 38.12 minutes and a standard…

A: From the provided information, Mean (µ) = 38.12 minutes Standard deviation (σ) = 8.63 minutes X~N…

Q: Last year, the numbers of skateboards produced per day at a certain factory were normally…

A: Here we use the formula ; z=(x-mean)/standard deviation

Q: Heights of men in America are usually a mean of 69.1 inches, with an SD of 2.67 inches. Women are…

A: Z score is given by,

Q: According to a recent study the Weight of male babies less than two months old in United States is…

A: Given that, Mean, mu= 11.4 Standard deviation, sigma= 2.7 We know that,  Z score= (X- my)/sigma

Q: Walleyes found in lake Windermere have a mean length of 18.4 inches with a standard deviation of 4.2…

A:

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: We have given that  Sample size n=83 , sample mean = 90 Standard deviation = 15  Population mean =…

Q: 4. Dunlop Company conducts tests on tires life. For a particular tires, the standard deviation is…

A: Given, Standard deviation is 6000 68% confidence interval is (102,000, 78,000). For a normal…

Q: State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test…

A: Given Data : For first group x̄1 = 163.0 s1 = 9.0 n1 = 8 For second…

Q: In a certain country, the heights of adult men are normally distributed with a mean of 68.4 inches…

A: Solution:- from given information mean μ=68.4standard deviation σ=2.8

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation…

A: Solution According to the Empirical rule.

Q: Medical researchers interested in determining the relative effectiveness of two different drug…

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: Suppose that salaries for recent graduates of one university have a mean of $24,900 with a standard…

A:

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation…

A:

Q: Use a 5% significance level to test the claim that the standard deviation of birthweights of girls…

A: The claim of the test is that the standard deviation of birth weights of girls is different from the…

Q: Assume that the heights of men applying for military academy training are normally distributed with…

A:

Q: Suppose annual salaries for sales associates at Target have a mean of $32,500 and a standard…

A: From the provided information, Mean (µ) = $32500 Standard deviation (σ) = $2500 X~N (32500, 2500)…

Q: In a study to compare the effectiveness of distance learning with traditional classroom instruction,…

A:

Q: The physical plant at the main campus of a large state university receives daily requests to replace…

A: Given, The distribution of the number of daily requests is bell shaped with mean of 52 and standard…

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: sample mean (x̄)  = 82 population mean (µ) = 85 sample size (n) = 120 sample standard deviation (s)…

Q: researcher claims that the stomachs of blue crabs from Location A contain more fish than the…

A: Given : Claim : The stomachs of blue crabs from Location A contain more fish than the stomachs of…

Q: A researcher claims that the stomachs of blue crabs from Location A contain more fish than the…

A: xbar1 = 196, s1 = 35, n1 = 14 xbar2 = 186, s2 = 41, n2 = 8

Q: In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of…

A: If the sample size (n) is large (greater than or equal to 30), then the sample mean follows normal…

Q: Assuming that the heights of college women are normally distributed with mean 65 inches and standard…

A: Solution: Let X be the heights of college women are normally distributed with mean μ= 65 inches and…

Q: A company claims that the time their customers spend waiting in line for service is normally…

A: Given that  The company claims that the time their customers spend waiting in line for service…

Q: A report about how American college students manage their finances includes data from a survey of…

A:

Q: A banker finds that the number of times people use automated-teller machines (ATMs) in a year are…

A: The mean is 40 and the standard deviation is 11.

Q: The mean height of an average United States female is 65 inches with a standard deviation of 3.5…

A: The probability that a American women is more than 5 feet 9 inches is obtained below:Let X follows a…

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation…

A:

Q: A report from 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 7.5…

A: Given: Americans between the ages of 8 and 18 spend an average of μ = 7.5 hours per day distribution…

Q: A newspaper article reported that people spend a mean of 6.5 hours per day watching TV, with a…

A: Given data ,μ=6.5σ=2.0Pz>z=10 %

Q: Assuming that the heights of college women are normally distributed with mean 65 inches and standard…

A: The normal distribution is the most useful theoretical distribution for continuous variable. For the…

Q: A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally…

A:

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation…

A:

Q: According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a…

A: Solution: Let X be the salaries of assistant professors. From the given information, X follows…

Q: A company selling a new MP3 player advertises that the player has a mean lifetime of 5 years. If you…

A:

Q: In an article about the cost of health care, Money magazine reported that a visit to a hospital…

A: Given data,μ=328σ=92P(X>500)=?

Q: Medical researchers interested in determining the relative effectiveness of two different drug…

A:

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1200…

A: Let X denote the amount of time a certain brand of light bulb lasts. Given that X follows N(mean =…

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 96 and a standard deviation of…

A: 17. Empirical rule (68 – 95 – 99.7 rule): For a bell shaped distribution (normal) the empirical rule…

Q: A researcher claims that the stomachs of blue crabs from Location A contain more fish than the…

A:

Q: Medical researchers interested in determining the relative effectiveness of two different drug…

A:

Q: The physical plant at the main campus of a large state university recieves daily requests to replace…

A: Given, u=62σ=4X~N(62,16)

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: Givensample size(n)=98Mean(x)=85standard deviation(s)=17α=10%=0.10

Q: According to the American Freshman, the number of hours that college freshmen spend studying each…

A:

Q: A marine biologist claims that a harbor seal's average dive time is at least 5.8 minutes. A random…

A:

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: In the given problem we have,  n = sample size = 120 The average number of trades per year was 82…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.