OR FALSE: Write T if the statement is correct and if the statement is incorrect, change the underlined word to make the statement correct. The sampling distribution of the sample mean is approximately normal even when the distribution of the population is not normal when the sample size is greater than 30

OR FALSE: Write T if the statement is correct and if the statement is incorrect, change the underlined word to make the statement correct. The sampling distribution of the sample mean is approximately normal even when the distribution of the population is not normal when the sample size is greater than 30

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
Which of the following is TRUE about the mean of the sampling distribution of the sample means? It is less than the population mean. It is not related to the population mean. It is equal to the population mean. It is greater than the population mean.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution of a sample mean is normal only if the population is normal. Choose the correct answer below. O A. The statement is false. A sampling distribution of a sample mean is approximately normal if either n ≥ 30 or the population is normal. B. The statement is false. A sampling distribution of a sample mean is never normal. O C. The statement is false. A sampling distribution of a sample mean is approximately normal only if n ≥ 30. OD. The statement is true.
For the sampling distribution of sample proportions, if np>5 and nq>5 then the mean of the distribution is the population proportion. True False
Please answer quickly!
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below O A. The statement is false. A sampling distribution is never normal. O B. The statement is false. A sampling distribution is normal only if n230. O C. The statement is true. O D. The statement is false. A sampling distribution is normal if either n230 or the population is normal. Click to select your answer. ... acer
The sampling distribution of the mean depends on the sample size. O False O true
The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use (t-test for a population mean, z-test for a population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = ____ (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis.…
Jamie’s Intro to Biology professor tells the class that on the first exam, the mean score is a 70, but the median score is an 84. What does this tell you about the skewness of the distribution? What measures of center and spread would you use to describe this distribution? a. The distribution is skewed left, so we should use the mean and the median to describe the distribution. b. The distribution is skewed left, so we should use the median and the IQR to describe the distribution. c. The distribution is skewed right, so we should use the median and the IQR to describe the distribution. d. The distribution is symmetric, so we should use the standard deviation and the IQR to describe the distribution. e. The distribution is skewed right, so we should use the mean and the IQR to describe the distribution.
The average final exam score for the statistics course is 43%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is larger. The final exam scores for the 19 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 54, 38, 45, 47, 42, 42, 48, 38, 56, 51, 46, 41, 43, 41, 37, 40, 53, 43, 43 Copy to clipboard What can be concluded at the = 0.05 level of the significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H1: ? Select an answer c. The test statistic ? v (please show your answer to 3 decimal places.)
The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 71, 72, 53, 61, 75, 55, 75, 74, 58, 50, 71, 84, 76, 53 What can be concluded at the the αα = 0.10 level of significance level of significance? The null and alternative hypotheses would be: H0: μ = ______________ H1: μ ≠ ______________ The test statistic t= ________________(please show your answer to 3 decimal places.) The p-value = _______________________ (Please show your answer to 4 decimal places.)