The mean Income per peron In the Unted States Is 40,500, and the distribution of Incomes follows a normal distribution. A randornsample of 18 resldents of Wilmington, Deaware, hod a rmean of $51,500 with a standard deviation of $10 200. At the 0.050 level ofsigntficance, E that enough cvidence to conclude that reoldents of Wilmington, Delawsrc, have more tncome than the national226euDADState the null hypothests and the alternate hypothests.H1 P?b. State the decislon rule for 0.050 elgntficance level. (Round your answer to 3 dectmal pleces.)ప్పయు 3c.Compute the value of the test stot'stic (Round your answer to 2 decimel places.)of Witmlngtan. Dabware. bave more Income than the nat onsl average atate thot r455u29no vBncuc c.ouaspthe 0.0s0 s gnfcance

a.The null and alternative hypothesis is obtained below:Hypotheses:Null hypothesis:H0: µ ≤…

Answered: The mean Income per peron In the Unted…

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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2.Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. The mean number of units produced by a sample of 56 day-shift workers was 338. The mean number of units produced by a sample of 62 night-shift workers was 343. Assume the population standard deviation of the number of units produced on the day shift is 24 and 31 on the night shift.Using the 0.05 significance level, is the number of units produced on the night shift larger?Required:a. State the null and alternate hypotheses. b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) d. What is your decision regarding the null hypothesis?multiple choice 2 Reject H0 Do not reject H0 e. Using the 0.05…
The Langtry of a pregnancy is normally distributed with a mean of 268days and a standard deviation of 15. A.Find the percentage of pregnancies less then 268 days. B. Find the percentage of pregnancies lasting less then 261 days. C. If pregnancies is considered premature if ot is in the lowest 3% of pregnancies, find the number of days which separates a premature baby from those who are not premature.
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
A survey found that women's heights are normally distributed with mean 63.4 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
3. The average height of a male student in the EDA class of Engr. Ventura in PLM has historically been 1.625 meters with a standard deviation of 0.07 meter. Is there a reason to believe that there has been a change in the average height of male EDA students under Engr. Ventura if a random sample of 50 males in the present EDA class has an average height of 1.652 meters? Assume the standard deviation remains the same.
A population has a normal distribution with a mean of 32.9 and a standard deviation of 35.2. Draw 4. a normal curve with labels, shading, and what you entered into the calculator for full credit. Round your answer to 4 decimal places. Find the probability that a randomly selected item is between 27.5 and 40.6 a) Find the probability that a sample size of 25 is randomly selected and is less than 28.2. b)
According to the Annual survey of drugs expenditure in country X, the annual expenditure forprescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individualsin the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given thatthe population standard deviation of $300 Make the final conclusion based on the analysis
A recent report indicated a typical family spend $650 per month on food. Assume the distribution of food expenditures for a family of five follows a normal distribution, with mean of $650 and standard deviation of $120. A sample of 64 is taken. a) What percentage of the families spends more than $675 per month on food? b) What percentage of the families spends less than $660 per month on food? c) What percentage of the families spends between $660 and $670 per month on food? d) What percentage of the families spends less than $650 or more than $675 per month on
The mean value of land and building per acre from a sample of farms is $1400 with a standard deviation of $300. The data set has a bell shaped distribution. Assume the number of farms in the sample is 71. A) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $800 snd $2000. B) If 25 additional farms were sampled , about how many of these additional farms would you expect to have a land and building values between $800 and $2000?
A survey found that women's heights are normally distributed with mean 63.96 in and standard deviation 2.2 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?

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