A recent publication states that the average closing cost for purchasing a new home is $7383. A real estateagent believes that the average closing cost is more than $7383. She selects 31 new home purchases andfinds that the average closing costs are $7744. The population standard deviation of $466. Help her decideif she is correct by testing her claim at a=0.05.The correct hypotheses would be:© Ho:μ < $7383HA:$7383 (claim)Ο Ho: μ > $7383HA:$7383 (claim)Ο Ho: μ = $7383HA:The p-value is:$7383 (claim)Since the level of significance is 0.05 the critical value is 1.645(round to 3 places)The test statistic is:(round to 3 places)

Given,sample size(n)=31sample mean(x¯)=$7744population standard…

Answered: A recent publication states that the…

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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You may need to use the appropriate appendix table or technology to answer this question. Money reports that the average annual cost of the first year of owning and caring for a large dog in 2017 is $1,448. The Irish Red and White Setter Association of America has requested a study to estimate the annual first-year cost for owners of this breed. A sample of 50 will be used. Based on past studies, the population standard deviation is assumed known with o = $245. 1,902 2,042 1,936 1,817 1,504 1,572 1,532 1,907 1,882 2,153 1,945 1,335 2,006 1,516 1,839 1,739 1,456 1,958 1,934 2,094 1,739 1,434 1,667 1,679 1,736 1,670 1,770 2,052 1,379 1,939 1,854 1,913 2,163 1,737 1,888 1,737 2,230 2,131 1,813 2,118 1,978 2,166 1,482 1,700 1,679 2,060 1,683 1,850 2,232 2,294 (a) What is the margin of error for a 95% confidence interval of the mean cost in dollars of the first year of owning and caring for this breed? (Round your answer to nearest cent.) (b) The DATAfile Setters contains data collected…
The mean score on a driving exam for a group of drivers education students is 72 points with a standard deviation of 6 points. apply Chebyshev theorem to the data using K=2. Interpret the results. Simplify answer.
A standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny has a score of 143. What is her z score and what percentage of students scored lower than her?
The reading speed of second grade students in a large city is approximately normal, with mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). O B. If 100 different students were chosen from this population, we would expect to read exactly 95 words per minute. O C. If 100 different students were chosen from this population, we would expect to read less than 95 words per minute. (b) What is the probability that a random sample of 13 second grade students from the city results in a mean reading rate of more than 95 words per minute? The probability is 0.0746. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 independent samples of n = 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 95 words per minute. O B. If 100 independent samples of n = 13 students were…
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 62 miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding 75 miles/hour. The records show that exactly 2% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
The mean time taken by all participants to run a road race was found to be 110 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 80 to 140 minutes. Round your answer to the nearest integer. of
Most people think that the "normal" adult body temperature is 98.6°F. In a more recent study, researchers reported that a more accurate figure may be 98.1°F. Furthermore, the standard deviation appeared to be around 0.7°F. Assume that a Normal model is appropriate. b) What fraction of people would be expected to have body temperatures above 98.6°F?
A section of highway is posted with a 55 mph speed limit. In fact, speeds of cars traveling on this section are normally distributed with mean 58 mph and standard deviation 5 mph. If the state patrol decides to ticket cars in the fastest 10 %, at what speed will they start ticketing ? Round your answer to the first decimal position.
The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1.2 hours. a. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 4.5 and 9.3hours. b. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 3.9 and 9.9 hours. c. Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 4.5 and 9.3hours per day. How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)?
The ages of the population of a town are Normally distributed with mean 43 and standard deviation 14. The town has a population of 5,000.How many would you expect to be aged between 22 and 57?
According to a recent publication, the mean price of new mobile homes is $60,400. Assume a standard deviation of $7900. Let x denote the mean price of a sample of new mobile homes. a. For samples of size 25, find the mean and standard deviation of x. Interpret your results in words. b. Repeat part (a) with n=50. a. For ________________________ (Samples of 25 mobile homes, the 25 mobile homes sampled ) the mean and standard deviation of _____________ (all possible sample mean prices, the prices of the mobile homes) are $_______________ and $________________, respectively. (Round to the nearest cent as needed) b. For ________________________ (Sample of 50 mobile homes, the 50 mobile homes sampled) the mean and standard deviation of _____________ (all possible sample mean prices, the prices of the mobile homes) are $_______________ and $________________, respectively. (Round to the nearest cent as needed)
A statistics professor announces that 15% of the grades he gives are As. The results of the final examinations indicate that the mean score is 83, with a standard deviation of 6. What minimum score must a student get to receive an A?

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