MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- 1. A marketing manager for a cell phone company claims that more than 35% of children aged 10 – 11 have cell phones. In a survey of 5000 randomly selected children ages 10 – 11, 1805 of them had cell phones. Based on the sample data, can you conclude that the manager's claim is true? Use a 1% level of significance. A. Compute the p-value. B. Make a decision. C. Interpret the results.arrow_forwardThe Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.arrow_forward4. A college student is contemplating a possible career option. One factor that will influence his decision is the amount of money he is likely to make. He decides to look up the average salary of graduates in that profession. Which information would be more useful to him, the mean salary or the median salary? Why?arrow_forward
- UBS Wealth Management UK periodically ask their customers to evaluate their financial consultants and services. The higher the customer rating, the better the perceived service. The maximum rating is 7. Independent samples of two financial consultants are given below. Consultant A has 10 years' experience, Consultant B has 1 years' experience. Use α = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A Consultant B N1 = 16 N2 = 10 Mean1 = 6.82 Mean2 = 6.25 S1= 0.64 S2 = 0.75 State the null and alternative hypothesis, Compute the value of the test statistic. What is the p-value? What is your conclusion?arrow_forward4 Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. Sales ($) Audit ($) 125 137 147 162 136 142 128 107 130 141 141 108 140 At the 0.01 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff? Click here for the Excel Data File 1. State the decision rule. (Round your answer to 3 decimal places.) Reject Ho if t> 2. Compute the pooled estimate of the population variance. (Round your answer to 2 decimal places.) Pooled variance 3. Compute the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 4. State your decision about the null hypothesis. (Click to select) Ho: H₂ Ha 5. Estimate the p-value. (Round your answers to 3 decimal places.) p-value (Click to select) Sales 125 137 147 162 136 142 Audit 128 107 130 141 141 108 140arrow_forwardA business reports that their average salary is over $91,000, the simple mean of the salaries listed in the chart. Alternatively, instead of a simple mean, the business could report the median, or the mode. Which would be the most useful to someone deciding whether to apply for an entry level job at this business? Job Number of Employees Salary Line workers 10 $30,000 Office manager 1 $45,000 CEO 1 $200,000 Select one: a. Simple mean is best b. Simple mean and median are nearly equal numerically. They are equally good for this purpose and better than the other options. O c. Simple mean and mode are equally good for this purpose and better than the other options. d. Median and mode are about equally good for this purpose and better than other options.arrow_forward
- Consider the relationship between p-values and significance levels. a. Explain why a value of z-statistic that is significant at the 1% level in a one-sided test is always significant at the 5% level. b. Explain why the reverse is not true. If something is significant at the 5% level in a one-sided test it is not necessarily significant at the 1% level.arrow_forwardPast studies have indicated that the percentage of smokers was estimated to be about 34%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1783 people and found that 553 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.arrow_forwardThe U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.arrow_forward
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