A consumer electronics firm has developed a new type of remote control button that is designed to operate longer before becomingintermittent. A random sample of 35 of the new buttons is selected and each is tested in continuous operation until becomingintermittent. The resulting lifetimes are found to have a sample mean of x = 1,241.2 hours and a sample standard deviation of s =110.8. Assuming normality of the population, the p-value for testing Ho versus Ha can be calculated to be .0174.(a) Determine whether Ho would be rejected at each of a = 10, a = .05, a = .01, and a = .001.Since p-value = .0174, we reject H0 for a =but not at a =%3D

Answered: A consumer electronics firm has…

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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Statewide, social workers have an average annual salary of $29,000. A random sample of 159 social workers in Pocatello have an annual salary of $29,501, with a standard deviation of $977. Are the annual salaries of social workers in Pocatello significantly different from the statewide average? Please complete all five steps of the five step model, showing as much of your work as possible. (alpha = .05 and Z(critical)+-1.96).
The mean pulse rate for adult males is approximately 61.4 beats per minute. In a sample of 27 overweight males, the mean pulse rate was 62.1 beats per minute with a standard deviation of 4.19 beats per minute. Test at a = 0.10 whether these findings suggest that the mean pulse rate for all such overweight males is significantly greater than 61.4. You obtain a sample of size 27 with a mean of 62.1 and a standard deviation of 4.19. You believe that the population is normally distributed. (a). The null and alternative hypotheses are O Ho: ữ = 62.1 Ha:ữ > 62.1 Ho:µ = 61.4 Ha: µ > 61.4 Ο H0: μ = 61.4 На:р 62.1 Part 2 of 4 (b). The test statistic is (use 4 decimal places)
The average size of a farm in one county is 162 acres with a standard deviation of 38 acres. The average size of a farm in a second county is 180 acres with a standard deviation of 40 acres. Assume the data were obtained from two samples that had 30 farms each. Can it be concluded that the average size of the farms in the two counties is different? (Let α = 0.05)
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
There is some evidence that REM sleep, associated with dreaming, may also play a role in learning and memory processing. For example, Smith and Lapp (1991) found increased REM activity for college students during exam periods. Suppose that REM activity for a sample of n = 16 students during the final exam period produced an average score of M = 143. Regular REM activity for the college population averages μ = 110 with a standard deviation of σ = 50. The population distribution is approximately normal. Do the data from this sample provide evidence for a significant increase in REM activity during exams? Use a one-tailed test with α= .01. Compute Cohen’s d to estimate the size of the effect. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.
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An electrical engineer wishes to compare the mean lifetimes of two types of transistors in an application involving high-temperature performance. A sample of 60 transistors of type A were tested and were found to have a mean lifetime of 1827 hours and a standard deviation of 174 hours. A sample of 180 transistors of type B were tested and were found to have a mean lifetime of 1658 hours and a standard deviation of 231 hours. Let ux represent the population mean for transistors of type A and µy represent the population mean for transistors of type B. Find a 95% confidence interval for the difference uy – µy . Round the answers to three decimal places. The 95% confidence interval is
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