c) what conclusion should be reached with respect to the null hypothesis?Interpret the result. 4. The director of a state agency believes that the average starting salary forclerical employees in the state is less than $30,000 per year. To test herhypothesis, she has collected a simple random sample of 100 starting clericalsalaries from across the state and found that the sample mean is $29,750. a.a) State the appropriate null and alternative hypotheses.b) Assuming the population standard deviation is known to be $2,500 and thesignificance level for the test is to be 0.05, what is the critical value (statedin dollars)?

Given , Sample size = n = 100 Sample mean = x¯ = 29750 Claim : The average starting salary for…

Answered: 4. The director of a state agency…

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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1. The owner of a gas station which makes headlight inspections for the state is trying to decide whether or not to discontinue the service. He figures that to make the operation profitable, the station must average in excess of 15 inspections per week. Unless data indicates strongly that this is the case, inspections will be discontinued. Data for the past year (52 weeks) yields a sample average of 16.7 inspections per week with a sample standard deviation of 4.5. Is this strong enough evidence to cause the owner to retain the inspection service? Test the relevant hypotheses using the P-value method.
I would like to test the hypothesis that the average round trip airfare between Phoenix and San Diego is higher for a flight originating in Phoenix when compared to a flight originating in San Diego. The following data summarizes the sample statistics for round trip flights originating in both cities. Originating City Phoenix San Diego Sample mean $240 $160 Sample size 18 18 Sample standard deviation $70 $40 If Population 1 is defined as flights originating in Phoenix and Population 2 is defined as flights originating in San Diego, the 90% confidence interval for the difference in population means is O ($50.20, $109.80) O ($42.80, $117.20) ($47.80, $112.20) O ($51.80, $108.20)
1. The National Center for Educational Statistics recently chose a random sample of 100 newly graduated college students and queried each one about the time it took to complete his or her degree. If the sample mean was 5 years with a sample variance of 4 years: a. Construct a 95 percent confidence interval estimate of the mean completion time of all newly graduated students. b. а. b. What is the interpretation of this confidence interval? If the sample increases, what will happen to the width of the confidence band (explain why you believe so). From past history, the average time for students to complete the degree is 4.8 years. Test the hypothesis at the level of 0.05 that it takes longer for students to complete the degree now. с.
1. A random sample of 50 students in Holy Angel University shows that they spend an average of 3 hours per day on social media apps with a standard deviation of 0.5 hours. Assume a normal distribution. Construct a 90% and 97% confidence interval for the average number of hours spent on social media apps per day.
11. In a sample of 41 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1,441 with a standard deviation of $423. In a sample of 101 trips taken by the employees in the sales department is $1,799 with a standard deviation of $653. When testing the hypothesis (at the 10% level of significance) that the variance of the amount spent on trips taken by the sales department is higher than those taken by the HR department what is the critical value? (please round your answer to 2 decimal places)
1. Stephen would like to check if his claim is true upon knowing that the average grade in Mathematics of his class is at least 85%. He got a sample from his classmates listed as follows: 93, 88 , 90,95 , 83, 85, 77 , 78 , 90, 80 a. What statistical tool is suited to determine if his class is true? Why? b. Assume that the distribution is normal, what would Stephen's conclusion be if the level of significance is 5%?
1. The owner of a gasoline service station wants to study gasoline purchasing habits by motorists at his station. A random sample of 60 motorists during a certain week is selected. The sample mean is 11.3 gallons and sample standard deviation is 3.1 gallons. At the .05 level of significance, is there evidence that the average purchase is different from 10 gallons?
2. A food truck serves lunch every Tuesday and Thursday on the plaza in front of Van Metre Hall on the GMU Arlington campus. The number of customers varies every day, so it wants to order supplies based on the average number of customers served per day. The truck recorded how many customers were served on 40 randomly selected days, and obtained a sample mean and sample standard deviation of 145 and 17, respectively. Construct a 90% confidence interval for the mean number of customers served per day.
c) State your conclusion in a complete sentence: 3) A college wants to see if there is a significant difference in the amount of time an average full- time student studies each week compared to the national average of 17 hours. Given that a random sample of 140 students studied an average of 15.5 hours with a population standard deviation of 6.4 hours, determine if there is a significant difference between this college and the national average. Test at a 95% confidence level. (a < 0.05) Ho: μ = 17 The null and alternative hypotheses: a) Compute the test statistic (z-score): b) What is the p-value for the test statistic? c) State your conclusion in a complete sentence: HA: μ # 17
A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.5%), Married (55.7%), Widowed (2.7%), Divorced (10.1%). The table below shows the results of a random sample of 1620 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 507 Married 896 Widowed 46 Divorced 171 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? OMarital status and residency are dependent. Marital status and residency are independent. The distribution of marital status in California is the same as it is nationally. OThe distribution of marital status in California is not the same as it is nationally. Marital status and…
1. Suppose a random sample of 32 National Football League players had an average weight of 252.5 pounds. Assume that the standard deviation for weight of all players in the league is 31 pounds. Determine the margin of error for a 99% confidence interval for this sample.
2. A travel agent claims that the mean price of a round trip flight from San Francisco to Hawaii is less than $510. A simple random sample of 60 round trip flights from San Francisco to Hawaii has a mean price of $502. Assume the population standard deviation is $110. At a significance level of 5%, is there enough statistical evidence to support the travel agent's claim? Requirements: 1. 2. 3. Step 1: State the hypothesis: Họ: Ha: Tail Step 2: Draw your distribution and find critical number(s) Step 3: Compute the test statistics Step 4: Make a Decision: Step 5: Summarize the result: (Restate the level of significance and discuss the claim)

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