[S9] A cell phone manufacturer claims that the batteries in its latest model provide 20 hour.continuous use. In order to verify this claim, and independent testing firm checks the battery life100 phones. They find that the batteries in these 100 phones last an average of 19 hours with astandard deviation of 5 hours.Conduct an appropriate hypothesis test to check whether the results from this sample providesufficient evidence that the true mean battery life is significantly less than 20 hours.a)Is this a question about the sample mean or the sample proportion? Explain how you know.b)What is the most appropriate test, a two-tailed test, a right-tailed test, or a left-tailedtest? Explain how you know.State the null and alternative hypotheses. Make sure to use proper notation.c)Calculate the test statistic. Make sure to show all your computations.d)Determine the P-value. Make sure to explain how you obtained the value.e)f)State the decision about the null hypothesis as well as the conclusion from your hypothesis testin the context of the problem. [MP2 also]

a) From the given information, the claim of the problem is testing whether the mean battery life is…

Answered: [S9] A cell phone manufacturer claims…

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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Similar questions

According to some studies, a vacuum cleaner uses an average of 46 kilowatt hours per year. If a sample of 12 homes shows that vacuum cleaners use an average of 42 kilowatt hours per year with a standard deviation of 11.9 kilowatt hours, does this suggest at the 0.05 level of significance that vacuum cleaners use, on average, less than 46 kilowatt hours annually? Conduct an appropriate test to answer this.Assume the population of kilowatt hours to be normal.
What type of hypothesis test should be performed?
I have a question: 2) A sample of 100 women had a mean pulse rate of 74.4 bpm with a standard deviation of 11.7. Use ? =0.05 to test the hypothesis that the mean pulse rate for women is greater than 74. (P-value approach)
The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1875 pounds, and a standard deviation of 100 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 50 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1912 pounds. Can we support, at the 0.1 level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal…
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 21 tires surveyed, the mean lifespan was 41500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? What is the Test Statistic
The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $14,124. The following year, a random sample of 20 two-year institutions had a mean of $17,124 and a standard deviation of $3700. Is there sufficient evidence at the alpha level of 0.05 to conclude that the mean cost has increased. Show 6 steps of hypothesis
A health professional obtains records for 33 patients who have undergone a certain surgical procedure and finds the average length of stay is 3.23 days with a standard deviation of 1.58 days. Using a = evidence to suggest the actual average length of stay for this surgical procedure is 3 days? 0.10, is there What are the hypotheses? O Ho: µ = 3.23 vs H1: µ # 3.23 Ho:u = 3 vs H1 :µ#3 Họ : = %3D 3 vs H1: + 3 Ho: = 3.23 vs H1: + 3.23 %3D Calculate the test statistic using the correct letter. = - 0.84 t = 0.84 z = 0.84 = Z - 0.84 Determine the critical values. O+1.691 Q+1.694 ±1.307 +1.692 +1.282 土1.309 O+1.645
The current machine for completing a specific operation in a manufacturing facility has a known average cycle time of 12.45 minutes. An engineer has identified a potential replacement machine from which 150 samples are taken. These 150 samples have an average cycle time of 10.32 minutes with a standard deviation of 5.14 minutes. The engineer must provide statistical evidence of whether the machine works at a five percent level of significance to management. What analysis would you complete to answer this question?

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