MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The annual salary for one particular occupation is
Random samples of 34 are drawn from thispopulation, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.
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- Suppose you are interested in knowing the proportion of Texas A&M students who have their own subscription to Netflix. Everyone in a class of 77 students takes a random sample of 100 Texas A&M students and asks them if they have their own Netflix subscription. Each person calculates the proportion of their sample with a subscription and we make a histogram of the 77 proportions. What kind of distribution would be displayed in that histogram? a. Population Distribution b. Sampling Distribution c. Data Distribution d. Parent Distribution e. More than one of the abovearrow_forwardFor a population with an unknown distribution, the form of the sampling distribution of the sample mean is what?arrow_forwardThe average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)arrow_forward
- The annual salary for one particular occupation is normally distributed, with a mean of about $132,000 and a standard deviation of about $16,000. Random samples of 26 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.arrow_forwardThe 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.…arrow_forwardA political newspaper, Politically Sound, is interested in the distances voters in Rising Falls County live from their nearest polling station. Politically Sound has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 17 Rising Falls County voters and record the distance (in km) each voter lives from their nearest polling station. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Number of voters 17 Sample mean 4.757 Sample standard deviation 2.363 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the…arrow_forward
- As the sample size increases, the mean of the sampling distribution ▼ stays the same. gets larger. gets smaller.arrow_forwardFor a population that has a standard deviation of 22, figure the standard deviation of the distribution of means for samples of size (a)2, (b)4, (c)5 and (d)10.arrow_forwardQ6. Select the best response. The sampling distribution of the mean will be approximately Normaleven when the population is not exactly Normal as long as the sample is: A. medium B. large C. smallarrow_forward
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