4) a. A few mechanics on a Toyota showroom identified that they attend an average of (B+ A) cars perweek. Assume the standard deviation is A. A random sample of 26 weeks was chosen. Find the90% confidence interval for mean.b. Estimate the 95% confidence interval for the standard deviation if a research of (A + 8) Chocolatebrands shows that the number of A calories as standard deviation for these Chocolate brands.Assume the variable is normally distributed.Note that: A is first two-digit number (before English alphabet letter) from your college ID.B is last four-digit number (after English alphabet letter) from your college ID.For example, if your MEC ID is 16F23451, then A = 16 and B3451%3D

Answered: Image /qna-images/answer/b6bf5027-902d-48f6-85d4-cbd4cb2f1186.jpg

Answered: 4) a. A few mechanics on a Toyota…

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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Average adult Americans are about one inch taller but nearly a whopping 25 pounds heavier than they were in 1960, according to a report from the Centers for Disease Control and Prevention (CDC). City A is considered one of America's healthiest cities. Is the weight gain since 1960 similar in city A? A sample of n=25 adults suggested a mean increase of 22 pounds with a standard deviation of 9.4 pounds. Is City A significantly different in terms of weight gain since 1960? Complete and interpret 5 step hypothesis testing by hand at a 5% level of significance using a Z-test. Show each step and your work.
Suppose that a Normal model describes furl economy (mile per gallon) for automobile and that a Saturn has a standardized score ( z score) of +2.2. This meatn taht Satturn.... gets 2.2 miler sper gallon. get 2.2 times the gas mileage of the avereage car. get 2.2 mpg more than the average car. have a standard deviation of 2.2 mpg achieve fuel eceonomy that is 2.2 standard deviations better thean the average car.
Suppose that water usages in American showers are normally distributed, with an average shower using 20 gallons, and a standard deviation of 3.2 gallons. Estimate the percentage of showers that used (a) between 13.6 and 26.4 gallons. % (b) more than 26.4 gallons. % (c) less than 10.4 gallons. % (d) between 16.8 and 29.6 gallons. %
A study investigated about 3000 meals ordered from Chipotle restaurants using the online site GrubHub. Researchers calculated the sodium content, in milligrams (mg)m for each order based on Chipotle's published nutrition information. Let X= the sodium content for a randomly selected meal The distribution of X is approximately normal with mean 2000 mg and standard deviation 500 mg. What percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?
During 2003 gasoline prices reached record high prices in 16 states United States (The Wall Street Journal, March 7, 2003). Two of the states affected were California and Florida. The American Automobile Association foundas sample mean price per gallon $2.04 in California and $1.72 per gallon in Florida. Use 40 as the sample size for California and 35 as the sample size for Florida. Suppose that previous studies indicate that the population standard deviation in California it is 0.10 and in Florida 0.08.a) Test at the 10% level the null hypothesis that the population means of the gasoline prices are equal against the alternative hypothesis that, on average, Gasoline is more expensive in California than in Florida.b) Find the p-value of this test.
In a certain country the heights of adult men are normally distributed with a mean of 70.2 inches and a standard deviation of 2.7 inches. The country's military requires that men have heights between 66 inches and 79 inches. Determine what percentage of this country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is nothing%. (Round to two decimal places as needed.)
Suppose that a sample of size 52 is drawn from a population with mean 23 and standard deviation 39 . Find the value of , the standard deviation of the distribution of sample means.
The ages of a group of 138 randomly selected adult females have a standard deviation of 17.5 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so leto= 17.5 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is (Round up to the nearest whole number as needed.)
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1469 and a standard deviation of 296. The local college includes a minimum score of 1824 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?
A researcher collected sample data for 10 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/100 mL) of 188.4, with a standard deviation of 5.7. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 99% confidence interval for the mean serum cholesterol level of all women in this age group. Then find the lower limit and upper limit of the 99% confidence interval.
A ecologist wishes to estimate the mean lifespan for a specific species of bird. Assume that bird lifespan is normally distributed and that each bird's lifespan is independent of all others. The researcher analyzes a random sample of n=7 deceased birds to find out how long they lived for. It is found that the mean lifespan in the sample is y= 5 4 years with standard deviation s=13 years. Choose the correct formula for a 95% confidence interval for the true mean lifespan. X± to.975,n O xt to.975,n-1 n-1 O none of these X+ Z0.975 O x+ to.975,n-1' O xt to.975,n-15
Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 19.7 hours with a standard deviation of 9.4 hours. He measured the length of time his wife's cell phone battery lasted on twelve different occasions and calculated a mean of 18.9 hours with a standard deviation of 5.3 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 1 of 2: Construct a 90 % confidence interval for the true difference in mean battery life between Steve's cell phone and his wife's. Round the endpoints of the interval to one decimal place, if necessary.

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