Question 5Q.5.1 What is a sampling distribution?Q.5.2 Explain the term "standard error" in relation to a distribution of sample means.Q.5.3 Give a brief explanation of the central limit theorem.

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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
View Policies Current Attempt in Progress Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d = X¡ - X2. Test Ho : ua = 0vs H. Ha > 0 using the paired data in the following table: Situation 1 125 156 140 175 153 148 180 135 168 157 Situation 2 120 145 142 150 160 148 160 142 162 150 Give the teststatistic and the p-value. Round youranswer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = p-value = eTextbook and Media MacBook Air
h) Probability and Statistics please providea correct and well explained solution for the following
STATISTICS AND PROBABILITY Multiple Choice! No long explaantion needed. THUMBS-UP will be given! Based on the Central Limit Theorem, which statement (s) is/are FALSE? A. The mean of the sampling distribution of the sample proportion is the population proportion. B. The sampling distribution of the sample proportion is approximately normal for whatever sample size even if the distribution of raw data values is not normal. O A O B O both A and B O neither A nor B
1. Student's t test for correlated groups really reduces to _________. a. the sign test b. Student's t test for single samples using difference scores c. Students t test for independent groups d. none of the above 2. The z test for independent groups is seldom used because _________. it lacks sensitivity it is too complicated we seldom know the population variances the sampling distribution of z under H0 is unknown 3. In a t test, when the size of the sample is increased, the confidence interval _________. increases decreases stays the same changes shape a and d 4. As the df increases, the t distribution _________. gets more symmetrical approaches the normal distribution stays the same becomes more skewed
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According to the central limit theorem (CLT), no matter which distribution the data is collected from, as long as some conditions are met, we can always expect the sample average to behave like a normal random variable, i.e., the sampling distribution can be approximated by a normal distribution. Which is NOT a CLT condition for sample mean? Group of answer choices The original distribution of the data is Normal. A random sample with sample size is larger than 30 with no extreme outlier A random sample with sample size is less than 30 with no outliers. The sample size has to be larger than 10.
(1 point) Suppose that we are to conduct the following hypothesis test: Но : и 3D 45 Н:и < 45 1 Suppose that you also know that o = 10, n = 106, x = 44, and take a = 0.09. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-o, a) is expressed (-infty, a), an answer of the form (b, o) is expressed (b, infty), and an answer of the form (-0, a) U (b, 0) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is
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12.1.11-T Question Help ▼ A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a= 0.05 level of significance. H Click the icon to view the table. H: The distribution of colors is the same as stated by the manufacturer. C. None of these. Compute the expected counts for each color. Color Frequency Expected Count Brown 59 Yellow 64 Red 57 Blue 61 Orange 88 Green 66 (Round to two decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. parts remaining Clear All Check Answer W MAY 4 F11 F12 F9 F10 F8 ロロ口 DOO F4 F7 F6 吕口 F5 F3 esc F2 F1 & delete $ 7 8 9. 4 5 2 P Y U E R Q J K F G D. #3
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 1.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. n = (Round up to the nearest integer.) Enter your answer in the answer box and then click Check Answer. ? 1 part remaining Clear All Check Answer MacBook 吕0 000 000 esc. F12 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 @ 23 $ & 1 2 3 4 5 7 de { [ Q W E R. tab А D G J K ock + I. 00 工

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Q.5.1 What is a sampling distribution? Q.5.2 Explain the term "standard error" in relation to a distribution of sample means. Q.5.3 Give a brief explanation of the central limit theorem.