According to one source, the average yearly cost to house a prisoner in the United States in a particular year was $28,284. Is there a significant difference between different states? You take a random sample of 10 prisons from 2 states, North Carolina and Kentucky, and find the mean for North Carolina to be x1 = $29,100 with a standard deviation of $3,000. In Kentucky, you find the mean to be x2 = $20,800 with a standard deviation of $2,500. Calculate the test statistic. (Round your answer to three decimal places.)

Q: One year Alex had the lowest ERA (earned-run average, mean number of runs yielded per nine innings…

A:

Q: After entering the test scores from her Statistics class of 25 students, the instructor calculated…

A: IQR is obtained as the difference between the third and first quartiles.

Q: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a…

A:

Q: One year Thomas had the lowest ERA (earned-run average, mean number of runs yielded per nine innings…

A:

Q: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine…

A: We have given that  X~N( μ , ?^2 )   Z-score =( x - μ )/?

Q: According to the researchers, the human experiment for salt is 220 mg per day which surpassed in…

A: Solution: Let X be the sodium content. From the given information, x-bar = 244 mg, S=24.5 mg and…

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

Q: he sample mean for a recent introductory psychology test was 78, and the standard deviation was 3.…

A: Given Information: Mean = 78 Standard deviation = 3 Student received a score of 82 i.e., X = 82…

Q: An advertising agency has stated that 20% of all television viewers watch a particular program. How…

A: From the provided information, An advertising agency has stated that 20% of all television viewers…

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: Contrary to popular opinion, a psychologist claims that the mean IQ score of math instructors is…

A: The provided information is  n=25x¯=120σ=30µ=100 here the parameters are known then we use…

Q: If a distribution has a mean of 50 and a standard deviation of 5, what value would be -1 standard…

A: Given, μ=50σ=5z=-1x=?

Q: If the mean of a list of numbers is 16.7 and the standard deviation is 0,

A: Mean is a measure of central tendency. It is one of the most important measures to find out around…

Q: The lengths of human pregnancies are normally distributed with a mean of 268 days, and a standard…

A: Given that, X~N(268,152) n=10

Q: If the average number of textbooks in professors' offices is 14, the standard deviation is 5, and…

A: Given that For textbooks, mean = 14, and SD = 5 For age, mean = 42, and SD = 10

Q: The mean and standard deviation of a set of 100 observations were Worked out as 40 and 5…

A: We have given that Number of observations(n)=100  Corrected mean=40 Standard deviation=5  Mistaken…

Q: One year Josh had the lowest ERA (earned-run average, mean number of runs yielded per nine innings…

A: ERA- Earned-run average Josh's ERA =2.94 For males, mean ERA=4.257 standard deviation=0.664 Sally's…

Q: heights of adult women in the United States are normally distributed with a mean of 65 inches and a…

A: The z score can be calculated as: z=x-μσ The required z score that is associated with the top 10% or…

Q: If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, 95% of the trees are…

A: NOTE : As per our guidelines we have to answer the first question if multiple questions are posted…

Q: One year Sam had the lowest ERA (earned-run average, mean number of runs yielded per nine innings…

A: From the provided information, The mean and standard deviation for the males ERA are as follow: Mean…

Q: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine…

A:

Q: If an adult male is told that his height is within 2 standard deviations of the mean of the normal…

A: If an adult male is told that his height is within 2 standard deviations of the mean.

Q: The U.S. Bureau of Labor statistics reports that the average annual expenditure on food and drink…

A: Given Information: Mean μ=$5700 Standard deviation σ=$1500 To find the percentage of families who…

Q: oretta, who turns  91  this year, has heard that the mean systolic blood pressure among the elderly…

A: Given: Sample size (n)= 19 Sample mean x¯=130 Sample standard deviation (s) = 20 Hypothesized mean…

Q: If Quiz A has a mean of 7.6 and a standard deviation of 2.0 and Quiz B has a mean of 7.9 and a…

A:

Q: Find their respective​ z-scores. Which player had the better year relative to their​ peers, Hank or…

A: Given For males, μ=4.296σ=0.907 For females μ=3.764σ=0.866

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: The principal decided that the top 30% of the class with the highest grades in statistics will be…

A:

Q: Suppose on a chicken farm a random sample of 30 chickens were selected. The mean weight of the 30…

A: Given Data: μ=5.8σ=0.085   We know that X¯~ Normal μ, σ2n

Q: Nationally, the per capita monthly fuel oil bill is $110. A random sample of 36 cities in the…

A: Let μ denotes the population mean per capita monthly fuel oil bill. The national per capita monthly…

Q: The mean score of the students on pre-assessments is 10 and the standard deviation is 2. What was…

A:

Q: Suppose that that the average BMI of the patients at Beth Israel Deaconness Medical Center is 30…

A:

Q: due to the increasing price of apartments each year, houston chronicle reported that rent of 1 bed 1…

A: Given that  μ=1200σ=500n=20 Consider, the probability that the price is more than 1100 is,…

Q: A population is normally distributed and has a mean of 50 and a standard deviation of 5 If we…

A: As we know the empirical rule of 68 - 95 - 99.7 that is the percent value that are one, two or three…

Q: The mean height of a population of men is 70.8 inches and the standard deviation is 3.2 inches. What…

A:

Q: One year Chris had the lowest ERA (eamed-run average, mean number of runs yielded per nine innings…

A:

Q: The scores on a university examination are normally distributed with a mean of 70 and a standard…

A: The scores of a university are normally distributed with mean 70 and s standard deviation 10.Given…

Q: One year Perry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings…

A: Given: For males, the mean ERA μ is 3.771 and standard deviation σ is 0.861. The mean ERA of Perry…

Q: Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a…

A: Given: Sample size, n=15 Let PE denote point estimate Sample mean, x¯=80.5sample standard deviation,…

Q: A student obtained the mean and standard deviation of 100 observations as 40 and 5 respectively. It…

A:

Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

Q: A cardiologist wishes to determine which of the two drugs A or B is more effective in lowering…

A: As Prof. N. G. Das defined, "Null Hypothesis: A hypothesis which is tested for plausible rejection…

Q: according to police sources, a car with a certain protection system will be recovered 90% of the…

A: Given problem is a binomial distribution with:

Q: My Physics professor announced that top 18% will get A in the class.               Class mean is 72,…

A: Let X= score of a student  Given that X follows a normal distribution with mean=72 and standard…

Q: According to the Census Bureau, the mean number of people in a typical American household in 2010…

A: It is given that the mean number of people in a typical American household in 2010 was 2.6 with a…

Q: If the mean is 8.35, and the standard deviation is 2.5, what will be the answer to this? How many…

A:

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

Q: Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly…

A: (a) The null and alternative hypothesis is; Ho: μ=120H1: μ>120 (b) Here we will be using…

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

A: Given that  Population Mean=4.8  Standard deviation=0.75 Sample size=60

Q: two fifth grade classes have nearly identical mean scores on an aptitude test, but one class has a…

A: It is given that two fifth grade classes have nearly identical mean scores on an aptitude test, and…