The mean life of a battery used in a digital clock is 305 days. The lives of the batteries follow thenormal distribution. The battery was recently modified to last longer. A sample of 20 of themodified batteries had a mean life of 311 days with a standard deviation of 12 days. Did themodification increase the mean life of the battery?(a) State the null hypothesis and the alternate hypothesis.(b) Perform a hypothesis test and state your decision and conclusion at a = 0.05

The question is about hypo. testing Given : Popl. mean life of a battery ( μ ) = 305 days Sample no.…

Answered: The mean life of a battery used in a…

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 company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.6 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At α=0.05, can you reject the company's claim? Complete parts (a) through (e).
A cell phone manufacturer has hired you to estimate the population mean of the battery lifetimes for all phones of their latest model. You decide to measure battery lifetime by recording the time it takes for the battery charge to run out while a tester is streaming videos on the phones continuously. Then you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume that the population standard deviation of the battery lifetimes for that cell phone model (using your method of measurement) is 2.42 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Take Sample Sample size: Number of phones Point estimate: 45 Sample mean Standard…
A college professor claims that the students in his classes take less time to complete the Calculus common final exam. The times for all students taking the Calculus final is known to follow a normal distribution with a mean of 1.7 hours, and a standard deviation of 0.25 hours. He will use a section of Calculus 1, with 18 students to test his claim. The mean of his class is 1.6 hours. Test the profesor's claim using α=0.05.
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In a random sample of 10 cell phones, the mean full retail price was $507.20 and the standard deviation was $194.00. Further research suggests that the population mean is $426.53. Does the t-value for the original sample fall between −t0.95 and t0.95? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t=enter your response here ▼ fall between −t0.95 and t0.95 because t0.95=enter your response here. (Round to two decimal places as needed.)
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 33.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α=0.05, can you reject the company's claim? -Identify Ho and Ha. -Find the critical value and sketch the region -Calculate the test statistic -Do you reject Ho or fail to reject Ha
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The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. In order to calculate the t statistic, you first need to calculate the estimated standard error. The estimated standard error SM = (round to four decimals)

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