A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back totheir menu. Due to this, the manager suspects the wait time, µ, has increased. He takes a random sample of 44 customers. The mean wait time for the sampleis 9.5 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes.Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance.(a) State the null hypothesis H, and the alternative hypothesis H,.D=D O=D(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test.Z0os is the value that cuts off an area of 0.05 in the right tail.The test statistic has a normal distribution and the value is given by z = (b) Pervhypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test.Zn05 is the value that cuts off an area of 0.05 in the right tail.• The test statistic has a normal distribution and the value is given by z =Standard Normal Distribution04Step 1: Select one-tailed or two-tailed.O One-tailedO Two-tailed03--Step 2: Enter the critical value(s).(Round to 3 decimal places.)10201-Step 3: Enter the test statistic.(Round to 3 decimal places.)- 33.

Answered: Image /qna-images/answer/90eb82e7-9754-4ee6-b830-0b1f667be67b.jpg

Answered: A chain of restaurants has historically…

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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A particular fruit's weights are normally distributed, with a mean of 696 grams and a standard deviation of 25 grams. If you pick 26 fruits at random, then 4% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
Suppose a researcher wants to test if the average diastolic blood pressure in Irish-Americans is different than the average diastolic blood pressure in the general population. Note that the average diastolic blood pressure in the general population is 70 mmHG. The researcher recruits 30 Irish-Americans into this particular study and then measures each of their diastolic blood pressures (mmHG). The population of this sample has a standard deviation equal to 3.0. What is the two-sided alternative hypothesis? (in words) Group of answer choices The mean is different than 70 The mean is different than 73 The mean is greater than 70 The mean is greater than 73
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.4 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
A scientist has read that the mean birth weight of babies born at full term is 7.4 pounds. The scentist has good reason to believe that the mean birth weight of babies born at full term, µ, is greater than this value and plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.8 pounds and the standard deviation to be 1.6 pounds. Based on this information, complete the parts below. (a) what are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? Ho :0 O
The null hypothesis: H, :0 The alternative hypothesis: H :0 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can we support the claim that the life expectancy in the United States is greater than the life expectancy in Ireland? O Yes No
Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. 00 0 million dollars X S ? Check acer Q tab esc ! 1 9. a @ 2 W →> S #m 3 X e C d $ LAS 4 C r % 5 f t > < 6 g y & JX b 7 h C n K1300
A manufacturer of car batteries claims that the life of his batteries have a standard deviation equal to 0.9 years if a random sample of 10 of these batteries have a standard deviation of 14.4 months do you think that population standard deviation exceeds 0.81 years. Explain your results.
Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have a mean of 2.7 feet with a standard deviation of 0.5. The reach for adult men is known to have a mean of 3.1 feet with a standard deviation of 0.7. Both women's and men's reach from this position is normally distributed. If this design is implemented, (a) what percentage of women will not be able to work on this instrument panel? (b) What percentage of men will not be able to work on this instrument panel? (c) Explain your answers to a person who has never had a course in statistics. Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. Click here to view page 4 of the table.
Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 225 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.
According to Current Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 13.6 and a standard deviation of 3.0. Find the mean and standard error of the sampling distribution of ȳ for a random sample of 9 residents.
In 2017, the average credit score for loans that were purchased by a government-sponsored mortgage loan company was 746. A random sample of 35 mortgages recently purchased by the company was selected, and it was found that the average credit score was 758 with a sample standard deviation of 20. Complete parts a through c.

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