A used car dealer says that the mean price of a three-year-old sports utility vehicle is $20,000. You suspect this claim is incorrect and find that a random sample of 20 similar vehicles has a mean price of $20,752 and a standard deviation of$1920. Is there enough evidence to reject the claim at a = 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed......Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice.(Round to three decimal places as needed.)A. t>О В. t<C.(c) Find the standardized test statistic t.t=(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.A. Reject Ho because the test statistic is in the rejection region(s).B. Fail to reject Ho because the test statistic is not in the rejection region(s).C. Fail to reject Ho because the test statistic is in the rejection region(s).D. Reject Ho because the test statistic is not in the rejection region(s).(e) Interpret the decision in the context of the original claim.A. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $20,000.B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $20,000.C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $20,000.O D. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $20,000. A used car dealer says that the mean price of a three-year-old sports utility vehicle is $20,000. You suspect this claim is incorrect and find that a random sample of 20 similar vehicles has a mean price of $20,752 and a standard deviation of$1920. Is there enough evidence to reject the claim at a = 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed......(a) Write the claim mathematically and identify Ho and Ha.Which of the following correctly states Ho and H2?C. Ho: µ> $20,000Hai µs $20,000Ο Α. Η0: μ# $20,000B. Ho: µ = $20,000Ha: µ< $20,000%3DHa: µ = $20,000-D. Ho : μ $20,000E. Ho: µ= $20,000Ha: µ# $20,000F. Ho: µ = $20,000Ha: µ > $20,000%3DHa: µ< $20,000(b) Find the critical value(s) and identify the rejection region(s).What is(are) the critical value(s), to?to =(Use a comma to separate answers as needed. Round to three decimal places as needed.)Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice.(Round to three decimal places as needed.)O A. t>В. t<С.(c) Find the standardized test statistic t.t=(Round to two decimal places as needed.)

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Answered: A used car dealer says that the mean…

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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The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 118 and standard deviation of 24 .Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. ________%b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person.________ peoplec. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?________ %d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places._______ lbs
a 2. You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provide housing for most of these women. After recording data for a whole year, you find that the mean number of women in shelters each night is 250, with a standard deviation of 75. Fortunately, the distribution of the number of women in the shelters each night is normal , so you can answer the following questions posed by the city council: a. If the city's shelters have a capacity of 350will that be enough places for abused women on 95% of all nights? If not, what number of shelter openings will be needed? b. The current capacity is only 220 openings, because some shelters have been closed. What is the percentage of nights that the number of abused women seeking shelter will exceed current capacity ?
Answer These questions D and E
The mean value of land and buildings per acre from a sample of farms is $1400, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1169 $2285 $1490 $466 $1948 $926 ... Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. O A. $1169 B. $1490 O C. $466 D. $1948 E. $2285 F. $926
... 14. The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of u deviation of o = 10. a. What proportion of the students in the state have 70and a standard = 20, ard scores less than X = 75? b. If samples of n = 4 are selected from the popula- tion, what proportion of the samples will have means less than M = 75? c. If samples of n 25 are selected from the popu- lation, what proportion of the samples will have %3D aple is means lesS than M = 75?
Suppose the scores of students on a Statistics course are Normally distributed with a mean of 596 and a standard deviation of 33.What percentage of the students scored between 596 and 662 on the exam? (Give your answer to 3 significant figures.)_________%
. A researcher wishes to test the claim that the average cost of tuition and fees at a four year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at 0.05? STEP 3. The test-value z0 is: z0 = (Round to two decimal places.)
I need to understand how to calculate... Can you please be clear with the explanation ....
Suppose that the heights of adult men in the United States are normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. What proportion of the adult men in the United States are at most 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.
According to a recent publication, the mean price of new mobile homes is $63, 600. Assume a standard deviation of $7300. Let x denote the mean price of a sample of new mobile homes. a. For samples of 100 mobile homes, the mean and standard deviation of all possible sample mean prices are $_________ and $__________, respectively. (Round to the nearest cent as needed.) b. For samples of 200 mobile homes, the mean and standard deviation of all possible sample mean prices are $________and $_________, respectively. (Round to the nearest cent as needed.)
b. In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. Compute z score
Suppose baby kittens' weights are normally distributed with a mean of 10.7 and a standard deviation of 1.7. Find the baby kitten weight that corresponds to the following Z-scores. Round your answer to 3 decimals. a. Kitten a: Z = 0.75, weight b. Kitten b: Z = 1.92, weight c. Is Kitten a overweight, underweight, or exactly average? Exactly Average O Overweight Underweight d. Is Kitten b overweight, underweight, or exactly average? O Overweight O Underweight O Exactly Average

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