A sample of 23 provided a sample mean of 158 and a sample standard deviation of 20. Find the value of the test statistic.

Q: A random sample of 100 observations from a quantitative population produced a sample mean of 28 and…

A: sample mean (x̄)  = 28  sample standard deviation (s) = 6.5 population mean (μ) = 26.8 Answer :…

Q: We notice a mean loss of 7 pounds in a sample of 11 dieters, with a standard deviation of three…

A: We first find the critical value for 95% confidence interval

Q: a manufacturer claims that the mean lifetime of its fluorescent bulbs is 1050 hours. a homeowner…

A: Given n=40 Standard deviation =80 Xbar=1030 Level of significance=0.05 Mu0=1050

Q: If you know that you have data that follows a normal distribution with a mean of 75 and standard…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: If a population has a standard deviation σ of 36 units, what is the standard error of the mean if…

A: The population standard deviation is 36.

Q: if heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard…

A:

Q: A one-sample z-test was conducted in which the sample mean was 76, the population mean was 82, the…

A:

Q: If the average mid twenties male weighs 169lbs. and a weight of 150 is in the 31st. percentile, what…

A: We are given,Mean = μ = 169X = 150Percentile = 31st

Q: In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what…

A: According to the given information, we know that The distribution is normal. Mean = 22 Standard…

Q: A sample of 90 items has mean 55 and standard deviation 3. A second sample of 110 items has mean 60…

A:

Q: The mean of a population (μ) is 120 and the standard deviation is 20.  What is the mean of the…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 20

Q: Suppose the scores of students on an exam are normally distributed with a mean of 276 and a standard…

A: X~N(μ= 276 , σ= 59 ) μ= 276 , σ= 59 Formula for Z-score Z=(X-μ)/σ

Q: Suppose the scores of students on an exam are normally distributed with a mean of 458 and a standard…

A: A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of…

Q: For a population with mean 90 and standard deviation 10, what is the z-score corresponding to X =…

A:

Q: If a population has a mean of 15 and standard deviation of 3, what is expected of the sample mean…

A:

Q: A company finds that for its 12 ounce cans of soda, the actual amount of soda inside is Normally…

A: Solution-: Given: μ=12,σ=0.25 We find x value such that P[X<x]=0.15

Q: They select a random sample of 101 recent college graduates and find a sample mean hourly wage of…

A:

Q: A dataset has a mean of 48.1 and a standard deviation of 6.3. What is the z-score of the value 18.5,…

A: Solution  Given That, A dataset has a mean of 48.1 and a standard deviation of 6.3. What is the…

Q: In a recent study of 35 Grade5 students, the mean number of hours per week that they played video…

A: We know that,  Sample size (n) = 35, sample mean (x̄) = 16.6 and population standard deviation (σ) =…

Q: The salaries of 300 employees of a certain factory in Baguio City have a mean of P6,500 and a…

A:

Q: Which of the farms are unusual (more than two standard deviations from the mean)? S

A: Given that Mean = 1600 And SD = 300 Also the distribution is bell shaped.

Q: If you have a population standard deviation of 10 and a sample size of 4, what is your standard…

A: Given,population standard deviation(σ)=10sample size(n)=4

Q: Suppose a random sample of 25 measurements was taken from a population with a mean of 74 and a…

A: We know that,  Sample size (n) = 25 and population mean (μ) = 74 and population standard deviation…

Q: If the standard error of the mean is σx̅ = 3 and the sample size is n= 64,then the population…

A:

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years.  What is…

A: The mean is 68 and the standard deviation is 10.

Q: If research samples 28 college students and wants to compare the sample mean of 8 to the population…

A: From the provided information, Sample size (n) = 28 Sample mean (x̄) = 8 Population mean (µ) = 12…

Q: A company pays their employees an average of $52,500 per year. If the standard deviation for the…

A: Given : A company pays their employees an average of $52,500 per year. If the standard deviation for…

Q: If a sample of 144 male weights has a mean of 266 pounds and standard deviation of 32 pounds. The CV…

A: Given data Mean (x̅ ) = 266Standard deviation (s) = 32Coefficient of variation(CV) for sample is…

Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: From the provided information, Population standard deviation (σ) = 18 Sample size (n) = 36

Q: The standard deviation of the sample mean is less than the standard deviation of the population.…

A:

Q: If the standard error of the mean is σx̅ = 3 and the sample size is n = 64, then the population…

A:

Q: If a population has a standard deviation σ , then the standard deviation of the mean of 100 randomly…

A:

Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: A population has a standard deviation of 18.

Q: If the Standard Error SE( y ) is 1.299 and if the sample standard deviation is 4.87, what is the…

A: It is given that S.E(mean) = 1.299 Sample SD s = 4.87

Q: Statewide, the population as a whole watches 6.2 hours of TV per day. A random sample of 1017 senior…

A: Given data is appropriate for testing of hypothesis to test z-test for single mean because it is a…

Q: A standardized test has a mean of 50 and a standard deviation of 4. Which of the following is the…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: For a recent 10k​ run, the finishers are normally distributed with mean of 56 minutes and a standard…

A: Given data,μ=56σ=13P(45<X<70)=?

Q: The exam scores of 200 students are distributed normally with a mean of 72 and a standard deviation…

A: Total students = 200 Standard deviation = 10 And distribute mean = 72 We have to find the number of…

Q: A farmer claims that the average fat content in his chickens is 29 g. A researcher tested 36…

A: From the provided information, Sample size (n) = 36 Sample mean (x̅) = 30.1 g Sample standard…

Q: A Physics test has a mean of 150 and a standard deviation of 12.  A Geography test has a mean of 46…

A: Solution: Let X be the physics test and Y be the geography test. From the given information, X has…

Q: The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals

A: Givenvariance(σ2)=576

Q: The average score on the verbal portion of the college entrance exam is 453, with a standard…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: Interpret the ­z-score of 1.45 in terms of its relationship to standard deviation as well as the…

A: Solution: From the given information, z=1.45.

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Q: sample of 25 cappuccinos shows a mean of 42.1 oz of espresso and a standard deviation of 0.38 oz. A…

A: Given: Sample size, n = 25 Sample mean,  = 42.1 Standard deviation, s = 0.38

Q: If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is…

A: The mean is 100 and the standard deviation is 15.

Q: If the standard deviation of a sample is 4.3 for 28 data values, what would the standard deviation…

A:

Q: The standard deviation of a sample is 3.0 and the standard error is -16.52, what was the original…

A: