An economist believes that the average annual income of men and women are the same in the United States. The economist knows the population standard deviation of income for men and women. The following information outlines the information for each sample: Men: n1 = 75  Women: n2 = 50 X1 = $52,004  X2 = $42,238   σ1 = $4,000   σ2 = $5,000 Test the economist’s claim at the 0.05 level.

Q: A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of…

A: Given: Population mean (μ) = 3.3 Sample meanx¯=3.1 Population standard deviation (σ)=1.05 Sample…

Q: The Department of Education would like to test the hypothesis that the average debt load of…

A: The sample mean is 18,200 and the population standard deviation is 4,200.

Q: An government official believes that the average annual income of men and women are the same in the…

A: Denote μ1, μ2 as the population average annual income of men and women, respectively.

Q: Do married and unmarried women spend the same amount of time per week using Facebook? A random…

A: We have given that  Sample size n1 = 45 , n2 = 39 Sample mean xbar1= 3.0 , xbar2 = 3.4 Sigma1 = 1.2…

Q: A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales…

A: From the provided information, Sample size (n) = 1500 adults 40% of all adults in Ohio support the…

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and…

A: Given that.   X~N( μ , ?^2 )   μ=30000    , ?=6000   Z-score =( x - μ )/?

Q: A random sample of 30 packages for delivery in a store has an average weight of 305 grams. Assume…

A: (1) Obtain the standard error of the point estimate of the population mean. The standard error of…

Q: The batteries from a certain manufacturer have a mean lifetime of 850 hours, with a standard…

A: According to the given information, we have Mean = 850 hours Standard deviation = 90 hours

Q: Given a sample with a mean of 94 and a standard deviation of 17, find x such that Pr(X > x) = 0.282.…

A: Given a sample with a mean of 94 and a standard deviation of 17, find x such that Pr(X > x) =…

Q: At one university, the students are given z-scores at the end of each semester, rather than the…

A:

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: A survey selects an SRS of n = 500 people from a town of 55,000. The sample shows a mean of 2.30…

A: Given, n= 500= sample size Let, X = health problem of a person μ = mean of X = 2.30 σ = sd of X =…

Q: A recent study showed that the average number of sticks of gum a person chews in a week is 16. The…

A: From the provided information, Sample size (n) = 31 Sample mean (x̄) = 14 Population standard…

Q: The batteries from a certain manufacturer have a mean lifetime of 830 hours, with a standard…

A: (a)   Determine approximate percentage of the batteries have lifetimes between 690 hours and 970…

Q: A manufacturer claims that a new design for a hands-free bluetooth device has increased the range to…

A: The following information is provided. Sample size, sample mean and sample standard deviation.…

Q: A cab company has computed its mean fare to be $37.00, with a standard deviation of $5.20. Suppose…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Shown below are birth weights (in kilograms) of male babies born to mothers taking a special vitamin…

A: i) The hypotheses can be constructed as: H0: σ = 0.470 H1: σ ≠ 0.470 The level of significance =…

Q: A set of test scores has a mean of 27 and a standard deviation of 4.2. Calculate the raw scores for…

A: We have given that, A set of test scores has a mean of 27 and a standard deviation of 4.2   The…

Q: In a random sample of 1000 students, 70% prefer to study at the school campus. The standard error…

A: Solution: Given:   n: size of random sample  = 1000 p: sample proportion          = 0.70…

Q: The daily number of eggs produced by an egg processing machine is normally distributed with a mean…

A:

Q: 1. A biologist knows that the average length of a leaf of a certain plant is 4 inches. The standard…

A: Given  Population mean μ=4, standard deviations σ=0.6, n=20, sample mean x̄=4.2, level of…

Q: A given set of data has an average of 25, and standard deviation of 5. Use this information to…

A: From the provided information, Average (µ) = 25 Standard deviation (σ) = 5 X~N (25, 5)

Q: The 2019 gross sales of all car companies in the country have a mean of 2.3 billion pesos and a…

A: Given, Mean(X)=2.3 Standard Deviation(s)=0.6

Q: A USA Today poll asked a random sample of 1012 U.S. adults what they do with the milk in the bowl…

A: Given Data: n=1012 p=0.7

Q: random sample of 75 eighth-grade students score's on a national mathematics assessment  test has a…

A: Given

Q: The symbol oz represents the standard deviation of a sample of size n. True O False

A: Answer : B. False

Q: 3b. If the writing scores have a population standard deviation of o = 10, what conclusion should we…

A: Given  A random sample of size ( n ) = 25 is taken  The average grade ( M ) = 76 µ = 70

Q: A. The scores of students in the midyear examination for Mathematics has a mean of 32 and a standard…

A: Given that Mean = 32, SD = 5 Find the Z-scores for 1. x = 37 2. x = 22 3. x = 33 4. x = 28 5. x = 30

Q: For the medical study, a researcher wishes to select people in the middle of 40% of the population…

A: Solution

Q: In a given year, the average annual salary of an NFL football player is $189,000 with a standard…

A:

Q: A recent study showed that the average number of sticks of gum a person chews in a week is 13. The…

A:

Q: A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of…

A: We have given that,  Hypothesized mean = 3.3 , Mean = 3.2 , SD = 1.06 , Sample size = 50 , At…

Q: Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival…

A: From the provided information, Mean (µ) = 2 hours and 2 minutes or 122 minutes Standard deviation…

Q: b. There were 218 players in the National Lacrosse League in 2013. Assuming the mean and standard…

A: Assume, X be the random variable representing the weight of players (in lbs). It can be assumed that…

Q: ccording to a survey on part-time workers, the average base salary for women in sales is higher than…

A: Let X denotes the average base salary for men  Given: = $2500/month Converting it to 12 moth period,…

Q: The average student loan debt for collge graduates is$25,950. Suppose that that distribution is…

A:

Q: A recent study showed that the average number of sticks of gum a person chews in a week is 11. A…

A: Given information- Population mean, μ = 11 Sample size, n = 14 Sample mean, M = 10 Sample standard…

Q: A recent study showed that the average number of sticks of gum a person chews in a week is 10. A…

A: The correct hypothesis would be: H0:μ≤10HA:μ>10(claim)

Q: 1. In the past, a chemical company produced 880 pounds of a certain type of plastic per day. Now,…

A: Given that  Sample size n =50 Sample mean =871 Standard deviation =21 Population mean μ =880

Q: State the hypotheses and identify the claim for the following: In a New York modeling agency, a…

A: Givensample size(n) =20sample mean(μ) = 67standard deviation(σ) = 1.7α = 0.05

Q: The frequency table of the monthly salaries of 30 people is shown below. salary(in $)…

A:

Q: The batteries from a certain manufacturer have a mean lifetime of 820 hours, with a standard…

A: The mean is 820 hours and the standard deviation is 70 hours.

Q: A nutritionist claims that the mean tuna consumption by a person is 3.2 pounds per year. A sample of…

A:

Q: A group of five friends are long-distance runners who will be running in an upcoming marathon. To…

A: Given the data of number of miles run per week of 5 runners as shown below The runners with low…

Q: On average, accountants earn approximately an average of $6500 per year in the United States. Assume…

A:

Q: The average score on a communications exam was found to be 82 with a standard deviation of 5 points.…

A: From the provided information, Mean (µ) = 82 Standard deviation (σ) = 5 X~N (82, 5) Here X be a…

Q: For a population with a mean of μ= 100 and a standard deviation of σ=20,  Find the  X values that…

A: Obtain the value of the random variable X if the Z-score equals –0.40. The value of the random…

Q: It is reported that a survey had a standard error of the mean of 20, and it is assumed that the…

A: Given information- Population standard deviation (σ) = 500 Standard error of the mean (SE) = 20 We…

Q: The batteries from a certain manufacturer have a mean lifetime of 870 hours, with a standard…

A:

Q: The results from a statistics class’ first test are as follows: The average grade obtained on the…

A: A normal distribution is also called bell shaped curve which is symmetric about the mean. The…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.