The life in hours of a battery is known to be approximately normally distributed, with standard deviation o = 1.25 hours. A randomsample of 10 batteries has a mean life of = 40.5 hours.(a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.035.The battery life is notsignificantly different greater than 40 hours at a = 0.035.(b) What is the P-value for the test in part (a)?P-value - iRound your answer to three decimal places (e.g. 98.765).(c) What is the B-error for the test in part (a) if the true mean life is 42 hours?B = iRound your answer to five decimal places (e.g. 98.76543).(d) What sample size would be required to ensure that ß does not exceed 0.2 if the true mean life is 44 hours?ibatteries

Answered: The life in hours of a battery is known…

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 survey of 47 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 1.2. From the sample, the mean difference was 1.4, with a standard deviation of 0.4. Calculate the test statistic, rounded to two decimal places
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The EPA reports that the exhaust emissions for a certain car model has a normal distribution with a mean of 1.45 grams of nitrous oxide per mile and a standard deviation of 0.4. The car manufacturer claims their new process reduces the mean level of exhaust emitted for this car model. A SRS of 28 cars is taken and the mean level of exhaust emitted for this sample is 1.21 grams. (a) Calculate the p-value (b)What is the decision at the 0.01 significance level?
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 62 and a standard deviation of 4. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 58 and 62?ans = %
The population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.
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A recent study stated that if a person chewed gum, the average number of sticks of gum he or she chewed daily was 8. To test the claim, the researcher selected a random sample of 36 gum chewers and found the mean number of sticks of gum chewed per day was 8. The standard deviation of population is 1. at a = 0. 05, is the number of sticks of gum a person chews per day actually greater than 8. There is not enough evidence to support the claim that average is greater than 8. There is enough evidence to support the claim that average is greater than 8. There is enough evidence to support the claim that average is smaller than 8. There is not enough evidence to support the claim that average is greater than 8.

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