Exercise 7-9 AlgoA random sample of size n = 46 is taken from a population with mean = -8.7 and standard deviation 03. [You may find it useful toreference the z table.]a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should beindicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.)Expected valueStandard errorb. What is the probability that the sample mean is less than -9? (Round final answer to 4 decimal places.)Probabilityc. What is the probability that the sample mean falls between -9 and -8? (Round final answer to 4 decimal places.)Probability

Population mean Population standard deviation Sample size

Answered: A random sample of size n = 46 is taken…

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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The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 20. What is the probability we could select a sample of 80 adults and find the mean of this sample is less than 95? 0.0125 0.9750 0.4875 0.9476
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esc Introduction A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 9.6 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Explanation μ Check □<口 X X OSO 020 0=0 x-H √n • The p-value is the area under the curve to the right…
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Standardized tests: In a particular year, the mean score on the ACT test was 22.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 504 and the standard deviation was 100. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Find the z-score for an ACT score of 30.
Use the normal distribution of SAT critical reading scores for which the mean is 504 and the standard deviation is 114. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table. ww (a) Approximately % of the SAT verbal scores are less than 550. 745 (Round to two decimal places as needed.) 725229 Check answer ct:

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