A random sample of size n = 178 is taken from a population of size N = 3,718 with mean μ = −80 and variance σ2 = 190. [You may find it useful to reference the z table.]   a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)   b. What is the probability that the sample mean is between −82 and −78? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

Q: ind the variance and the standard deviation for x and y in Table 1

A:

Q: Let x be a random variable representing the length of trout in a lake.  A friend claims that the…

A: We have given that,  Sample mean length (x̄) = 19.4 and sample standard deviation (s) = 3.8 and…

Q: 1. Calculate a point estimate for the true population average unemployment duration.

A:

Q: Gradebook Data Sets eText Multimedia Library 77°F Sunny A certain statistics instructor participates…

A:

Q: The average exam score is 66 with a variance of 20.  Your exam has a Z score of 0.12. What is your…

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: Let x represent the number of mountain climbers killed each year. The long-term variance of x is…

A: σ2=136.2s2=109.2α=0.01

Q: Computing variance by hand is a tedious process. To compute the variance, we can use R using the…

A: Introduction R is a programming language which is used for statistical analysis.

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Suppos ✓ are interested in studying a population to estimate its mean. The population is normal and…

A: The objective is to infer, if each defined confidence intervals include the population mean value.…

Q: Compute the values a and b such that the fit of type aX+b provide the desired mean and variance?

A:

Q: endard deviation of th

A: We have to find the F test statistic to test the claim that the variances of the two populations are…

Q: 14. Calculate SS, variance, and standard deviation for the following population of N = 7 scores: 8,…

A: Given number of observations N=7given data points are 8,1,4,3,5,3,4.

Q: In a test of hypothesis, the null hypothesis is that the population variance is equal to 5.4 and the…

A: It is given that Population standard deviation = 5.4Sample standard deviation = 11.84Sample size =…

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone…

A: Let µ be the true mean level of ozone. The claim is that the current ozone level is at an…

Q: Arandom variable X is normally distributed with a mean of 121 and a variance of 121, and a random…

A:

Q: Answer: 33. A fashion designer wants to know how many new dresses women buy each year. Assume a…

A:

Q: Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941,…

A: n= 41 Sample size  s2=2.9 Sample variance σ2=5.1  Population variance

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: Suppose you have the hemoglobin level for 15 children. Based on the values provided, find the…

A:

Q: In a test of hypothesis, the null hypothesis is that the population mean is equal to 32 and the…

A: Given that,population mean() = 32sample size (n) = 40Sample mean () = 32.75Standard deviations (s) =…

Q: Suppose x values are: 0, 1, 2, 3, p(x) = 0.46, 0.28, 0.14, 0.12 and u= 0.92 Compute the variance for…

A: The mean is 0.92.

Q: I would need help with finding the R code for this problem. Thank You! (1) Test the null hypothesis…

A: An F-test is any statistical test in which the test statistic has an F-distribution under the null…

Q: A toy manufacturer wants to know how many new toys children buy each year. Assume a previous study…

A: It is given that, Population variance is 1.44. The z-critical value for 85% confidence interval is…

Q: A sample of n = 9 scores has SS = 72. The variance for this sample is s2 = 9. True or False

A: Given sample of n = 9 scores has SS = 72.

Q: can you help me understand these questions?

A:

Q: Question 2: The range of the random variable X is [0, 1, 2, 3, x] where x is unknown. Each value is…

A:

Q: A researcher records the crying time (in minutes) of infancy’s given oral administration of sucrose…

A: Solution: From the given information,

Q: c. What is the likelihood of selecting a sample with a mean of at least $139,000? Note: Round your…

A:

Q: You know that the sample mean, X. is the minimum variance unbiased estimator of . with a variance of…

A: