3. Answer the following concept questions in 1-3 sentences each.(a) Consider the sampling distribution for X. Suppose X; ~ N(75, 25). Do we need the CentralLimit Theorem to find P(X < 72) if our sample size is 9? Why or why not.(b) Consider the sampling distribution for X when we have a "large" sample size(n > 30). When we calculate the z-score, why do we divide by o/Vn instead of o?(c) Consider the Central Limit Theorem for the difference of means. For our standard deviation,we useSD (X1 – X2) :n1n2Why don't we want to useSD (X1 – X2)02-?Vn2|

Given that (a) Consider the sampling distribution for X. Suppose X₁ ~ N(75, 25). Do we need the…

Answered: 3. Answer the following concept…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What would happen to the sampling distribution if you increased the size of the samples taken from the population? O The center of the sampling distribution will get further away from the parameter O The spread of the sampling distribution will get larger O The center of the sampling distribution will get closer to the parameter O The spread of the sampling distribution will get smaller
A population consists of the following 6 values: {10, 20, 30, 40, 50, 60}. A sample of size 3 will be chosen from this population without replacement and the median of the sample will be computed: { (0.5 (£n/2 + £n/2+1) m = x(n+1)/2 n odd n even In other words, in a sample of size n = 3 ordered from smallest to largest the median is the 2nd number. The median of a discrete random variable, μ, is defined as the value of such that and P(X M) ≤ 0.5 Determine the median of the population. Think of the population as an equally likely sample space. Determine the sampling distribution of the sample median, m for this population by (1) identifying all possible samples (how many are there?), (2) calculating the median in each sample and (3) using that to determine the probability of each median. Calculate E (m) Determine the standard error or the sample median
I need assistance with D and E Only. Given the sample data. x: 23, 17, 15, 32, 27 (a) Find the range. (Enter an exact number.) (b) Verify that Σx = 114 and Σx2 = 2,796. (For each answer, enter an exact number.)Σx = Σx2 = (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)s2 = s = (d) Use the defining formulas to compute the sample variance s2 and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)s2 = s = (e) Suppose the given data comprise the entire population of all x values. Compute the population variance σ2 and population standard deviation σ. (For each answer, enter a number. Round your answers to two decimal places.)σ2 = σ =
15. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 10.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At α=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.2 7.5 12.2 7.2 4.1 9.5 13.7 8.5 Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ>10.0 Ha: μ≤10.0 B. H0: μ≠10.0 Ha: μ=10.0 C. H0: μ<10.0 Ha: μ≥10.0 D. H0: μ≤10.0 Ha: μ>10.0 E. H0: μ≥10.0 Ha: μ<10.0
The 11 participants in an experiment had the following reaction times (in milliseconds). 231, 480, 480, 484, 486, 492, 497, 501, 505, 507, 509 Complete the parts below to identify any outliers. (a) Let Q, be the lower quartile and Q, be the upper quartile of the data set. Find Q, and Q, for the data set. 2₁-0 2₁-0 (b) Find the interquartile range (IQR) of the data set. IQR- (c) Calculate a lov boundary using Q₁-1.5 1QR. Calculate an upper boundary using Q, +1.5-1QR. (Note that 1.5 1QR means 1.5 times the IQR.) Lower boundary: Upper boundary: (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". Outliers: na None
Please answer part d), e) and f) only.
A population contains seven million Os and three million 1s. What is the sampling distribution of the sample mean when the sample size is n= 5? ... Let X be the number of 1s. Complete the chart below. P(X) 1 2 3 4 (Round to three decimal places as needed.)
14. The proportion of hospitals in Example A of Section 7.2 that had fewer than 1000 discharges is p = .654. Suppose that the total number of hospitals having fewer than 1000 discharges is estimated from a simple random sample of size 25. Use the central limit theorem to sketch the approximate sampling distribution of the estimate.
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Q2. Determine True or False for the following statements: A) Nominal data is the highest form of data level hierarchy. (T or F) B) Interval data has a real zero. (T or F) C) Systematic sampling is the type of statistics sampling techniques. (T or F)
Suppose that 77% of the students at a small private university carry student loans. For a SRS of students at this university, let P(hat) be the sample proportion of the students who carry student loans. How large would a sample from this population need to be to ensure that the distribution of the sample proportion is normally distributed?

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