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)
A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.92 fluid ounces and 0.24 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 6 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal…
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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.
In the year 2033, Sarai Patterson is a leading traveling nurse. Sarai is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Sarai takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions. a) What is the setup for your null and alternative hypothesis? b) What is the value of the test statistic? c) What is/are the critical value(s)?
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Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 32 PlayStation users had an average age of 33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.7 and 3.5 years, respectively. Sony would like to set alpha is 0.10. The critical value for this hypothesis test would be
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A study is being conducted to compare vitamin C and zinc to determine which is better at fighting colds. Customers believe vitamin C is better at fighting colds. What are the appropriate hypotheses for this testing scenario? Let μc equal the mean of the effectiveness of vitamin C and μz equal the mean of the effectiveness of zinc. O Ho: Hc - Hz= 0 Ha Hc - Hz > 0 O Ho: Hc - Hz= 0 Ha Mc-Hz 0 o Ho: Xe – xz = 0 Hai Xi — Xz #0

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