blemsProblem 1. Suppose the wait time at local fast food restaurants follows a normaldistribution with a population mean of 3 minutes and a population standard deviationof 1 minute. At the McDonald's on Maple Street you observed that among a randomsample of 36 customers the mean wait time was 3.4 minutes. You are wondering if thewait time at this particular McDonald's is different from the population mean.a. Setup the appropriate null and alternative hypotheses.b. Construct the relevant test statistic.c. Test the hypotheses at 0.05 significance level and state your conclusion.d. Does your answer in part c change if using the 0.01 significance level?

Given that x̄ = 3.4 , μ = 3 , ? = 1 , n = 36 Note : According to bartleby experts question answers…

Answered: Problem 1. Suppose the wait time at…

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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A random sample of 37 MBAs working in New York revealed that their mean annual salary was $132,000. Suppose that the population standard deviation o is $31,000 but that the population mean μ is unknown. What is the point estimate (i.e. the "best guess") of the mean salary μ of all MBAs in this city? O $99,000 O $132,000 O $116,000 O $31,000
Need answer to question 4.
The average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?
You wish to test the following claim (��) at a significance level of �=0.002. ��:�1=�2 ��:�1≠�2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 50.2 77.2 87.1 65 64.2 58.4 78 60.5 72.6 53.1 51.2 75.6 64.2 93.6 68.6 63.8 71.9 74.9 74.5 54.6 59.2 61.8 90.1 73.6 55.4 62.6 68.6 71.6 67.9 87.3 51.9 85.2 81.3 76.3 54 59.6 59.6 88.6 50.8 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value =
Suppose you are interested in testing whether average monthly gasoline expenditure differs from $50 at the 5% significance level. You take a sample of 30 and calculate a sample mean of 51 and sample standard deviation of 12. Given this information the null and alternative hypotheses are as follows: H0: μ=50 H1: μ≠50 What is the conclusion of this test?
Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -
a. State the null and alternative hypothesis.
In a test of hypothesis, the null hypothesis is that the population mean is equal to 90 and the alternative hypothesis is that the population mean is not equal to 90. A sample of 16 elements selected from this population produced a mean of 86.75 and a standard deviation of 12.54. The significance level is 2%. a. –2.602 and 2.602 b. –2.583 and 2.583 c. –2.131 and 2.131 d. –1.341 and 1.341
Your answer is partially correct. According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree and were employed earned an average of $1233 a week in 2014. A recent sample of 388 American workers who have a bachelor's degree showed that they earn an average of $1240 per week. Suppose that the population standard deviation of such earnings is $137. a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean weekly earning of American workers who have a bachelor's degree is higher than $1233. Will you reject the null hypothesis at a = 0.005? Round your answer to four decimal places. p-value = i 0.8264 Do not reject Z = b. Test the hypothesis of part a using the critical-value approach and a = 0.005. Ho. Round your answer for the observed value of z to three decimal places. i 0.94

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