4.) Battery Warranty: The warranty on a car battery is 36 months. If the breakdown times of this battery are normallydistributed with a mean of 46 months and a standard deviation of 8 months, determine the percent of batteries that canbe expected to require repair or replacement under warranty.

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Answered: 4.) Battery Warranty: The warranty on a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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14. A study using two random samples of 35 people each found that the average amount of time those in the age group of 26-35 years spent per week on leisure activities was 39.6 hours, and those in the age group of 46-55 years spent 35.4 hours Assume that the population standard deviation for those in the first age group found by previous studies is 6.3 hours, and the population standard deviation of those in the second group found by previous studies was 5.8 hours. At a = 0.05, can it be concluded that there is a significant difference in the average time each group spends on leisure activities?
4.15. If the local restaurants in a small town record an average of 92 customers a day, with a standard deviation of 11, how many customers does a restaurant need to serve to be in the top 25%?
1. Nine dogs and ten cats were tested to determine if there is a difference in the average number of days that the animal can survive without food. The dogs averaged 11 days with a standard deviation of 2 days while the cats averaged 12 days with a standard deviation of 3 days. What can be concluded? (Use a = .05)
VII. The NYC MTA claims the average wait time for an F train after midnight is less than 21 minutes. A sample of 15 commuters are polled and it is determined the average wait is 24 minutes with a standard deviation of 9 minutes. Do we accept the MTA's claim?
1. A baseball fan wants to know if there is a difference in the number of games played in the World Series when the American League won verses when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14 and the population standard deviation of games won by the National League was 1.11. Of the 19 randomly selected World Series games won by the American League, the average number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42. Using a 95% confidence level, after hypothesis testing, what would you tell the baseball fan? a. Which test will you use to test for this statistical analysis? b. State the null and alternative hypothesis. H0: Ha: c.What is the value of the test statistic
4. Suppose a newly released weight-loss pill is being sold in a certain city. The manufacturer claims thatany overweight person who takes the pill as directed will lose more than 15 lbs within a month. To testthis claim, a doctor gives this pill to twelve overweight people and finds that they lose an average of 17.2lbs with a standard deviation of 4 lbs. Can we reject the manufacturer’s claim at the 1% level ofsignificance?a. Null and alternative hypothesis (give both in symbolic form and sentence form): b. Test statistic and p-value (show the calculation or show what you entered into the calculator(screenshots are ok here)):c. Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesisWhy did you choose to reject or fail to reject the null hypothesis?d. Nontechnical conclusion addressing the original claim:
1. Most medical schools of require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. 2. If a medical school will only admit students in the top 10%, what is lowest z-score the student can receive and still be admitted? (round to the nearest hundredth) 3. Most medical schools of require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. What percentage of students score between 495 points and 520 points? (round to the nearest hundredth 4. Most medical schools of require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. What percentage of students score…
Suppose that quiz scores in a beginning statistic class have a mean of 7.9 with a standard deviation of 0.5 using chenyshev's theorem what is the minimum percentage of quiz scores between 6.9 and 8.9 ? Round to one decimal place
Cuo (a) The Takoradi Tire and Rubber Company wishes to set a minimum mileage guarantee on its new MX100 tyre. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal distribution. They want to set the minimum guaranteed mileage so that no more than 4 percent of the tyres will have to be replaced. What minimum guaranteed mileage should the company announce? levement
11
If batteries have lives that are normally distribute with mean 2, 800 hours and standard deviation 400 hours, using the 68-95-99.7 rule to approximate the percentage of batteries having a life less than 3, 600 hours.
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4.) Battery Warranty: The warranty on a car battery is 36 months. If distributed with a mean of 46 months and a standard deviation of 8 be expected to require repair or replacement under warranty.