Suppose x has a normal distribution with mean ? = 59 and standard deviation ? = 14. a.Describe the distribution of x values for sample size n = 4. (Round ?x to two decimal places.) ?x =            ?x =  b.Describe the distribution of x values for sample size n = 16. (Round ?x to two decimal places.) ?x =            ?x =  c.Describe the distribution of x values for sample size n = 100. (Round ?x to two decimal places.) ?x =           ?x =  d.How do the x distributions compare for the various samples sizes? -The means and standard deviations are the same regardless of sample size. -The standard deviations are the same, but the means are increasing with increasing sample size.    -The means are the same, but the standard deviations are decreasing with increasing sample size. -The standard deviations are the same, but the means are decreasing with increasing sample size. -The means are the same, but the standard deviations are increasing with increasing sample size.

Q: B. Find and interpret the mean, variance, and standard deviation of the sampling distribution of…

A: Let X represents the age of employees.  X is normally distributed with mean u= 47.2 and standard…

Q: Women are recommended to consume 1900 calories per day. You suspect that the average calorie intake…

A: 1759,2086,1727,2003,1859,2160,2098,1954,1848,2110,1862,2174

Q: If X is normally distributed with a population mean of 123 and a population standard deviation of…

A: X is normally distributed with mean of 123 and standard deviation of 12.

Q: Next c A variable is normally distributed with mean 12 and standard deviation 2. a. Find the…

A:

Q: A pharmaceutical manufacturer is concerned about the impurity concentration in batches of drug and…

A:

Q: The following set of data is from a sample of n=6. 6 59 6 3 13 O a. Compute the mean, median, and…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 7. We want to test a claim that the mean house price in CA is not equal to $455000. sample : n=41,…

A: Solution : Given : - We want to test a claim that the mean house price in CA is                  not…

Q: П. Distribution of Data - Bell Curve A test was given to 250 students. The mean was 80 and the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: the verac atemer company. 2. The average income of a customer service representative is P 23,000. A…

A: Given that  x̄ = 24000 ,  μ = 23000 , s = 5000 , n = 25

Q: ad answer the following O 2.4 15565 3 4 Σ* x 5 8 7 4 3 9 x-μ (x-μ)² Σ(x-μ)² = = 36 of sick days…

A: GIVEN DATA ,  value of  x is  given in the question  no.1we have to find out the nrangepopulation…

Q: the answer is a but many students in my class are opting for c, which makes no sense to m

A: Total states = 50 The x-axis of the histogram shows the average property damage in millions.

Q: The Distribution of the Sample Mean is A. normal…

A: Using Normal distribution property

Q: Hi I need help answering these questions for normal distribution, thank you.

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: O Help One graph in the figure represents a normal distribution with mean u= 15 and standard…

A: Here's first one mean is 15 and standard deviation is 1. Other graph has mean is 10 and standard…

Q: Short Answer. Supply the correct answer. 1. In a sampling distribution, as the sample size increases…

A: As per central limit theorem, the z score formula of sample means is given by…

Q: Please andswer and explain. Thank you

A: The image shows a dot plot representing the distribution of proportions of students enrolled in…

Q: Q5. Consider a random sample of 20 concentrations of calcium carbonate (CaCo.) in milligrams per…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Determine whether the following graph can represent a variable with a normal distribution. Explain…

A: From the above graph we can see that, it is symmetric the mean =median= mode= 20 i.e. mid point of…

Q: You are performing a TWO-tailed significance test on a mean based on a sample size of 11. You…

A: Obtain the P-value bounds for the given value of t. The correct option is identified below as…

Q: Q6. Here is part of a calculation in a spreadsheet working with sample data of x. Which statement is…

A: The following data is given: Class Frequency CF 0 - 9 3 3 10 - 24 5 8 25 - 39 9 17 40 -…

Q: A score that is 6 points below the mean correspond. to a z-score of z = -2.00. What is the…

A: The following is the formulae for z-score                       i.e., z=X-μσ Here, X is variable…

Q: Which of the following would indicate that a dataset is not bell-shaped? O a. The range is larger…

A:

Q: Here is part of a calculation in a spreadsheet working with sample data of x. Which statement is…

A: A population is the entire group that you want to draw about conclusions you draw about. A sample is…

Q: Given the sample mean= 62 and sample standard deviation = 8. Find the z-scores that correspond to…

A: Given the sample mean=62 and sample standard deviation=8. We need to find the z-scores that…

Q: 6. Suppose that the IQ scores of students at a certain college follow a normal distribution with…

A:

Q: 5.4. For a normal distribution where the mean is 50 and the standard deviation is 10, what…

A:

Q: What proportion of the normal distribution is found in the folloing areas? a. Between the mean and…

A:

Q: Q9. The diagram is the distribution of the Standard Normal variate, Z. wwww w 0.5 0.4 0.3 .025 .025…

A: We have given that.   X~N( μ , ?^2 )   μ =0 , ? =1   Z-score =( x - μ )/?

Q: 36.34 Calculate the control limits for averages and ranges for (a) number of samples = 8, (b) = 65,…

A: Hint:  control limits for averages when the range is given are as follows;  UCLx¯ =    x¯ +A2 R¯CLx…

Q: The distribution of sample means for monthly employee income at a particular company for samples of…

A: The given data is as follows:Sample size, Sample mean, Sample standard deviation,

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.