8. In Maidin supermarket, the customer's waiting time to check out is approximately normallydistributed with a standard deviation of 2.5 minutes. A sample of 25 customer waiting timesproduced a mean of 8.2 minutes. Is this evidence sufficient to reject the supermarket's claimthat its customer checkout time averages no more than 7 minutes? Complete this hypothesistest using the 0.02 level of significance.a) Solve using the p-value approach.b) Solve using the classical approach.

Hypothesis testing is conducted for the parameters of the population like population mean,…

Answered: 8. In Maidin supermarket, 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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A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 23.7 on the college entrance exam with a standard deviation of 3.5. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the mathematics portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. versus H₁ The appropriate null and alternative hypotheses are Ho h 4
A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 23.7 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam? Complete parts a) through d) below. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students were randomly sampled. B. The students' test scores were independent of one another. C. The sample size is larger than 30. D. None of the requirements are satisfied.
An electronics production sequence includes a process where a film of metal is deposited on a board. The film must be more than 1.000 mm thick. If the film is too thin the process fails. The engineer ran a test where the null hypothesis was that the mean thickness was at most 1.000 mm. A sample of 100 boards had a mean thickness of 1.007 mm and a standard deviation of 0.050 mm.At what level of significance would the null hypothesis be rejected? Express your answer at a decimal (not a percent) rounded to three places.
2. A pain reliever currently being used in a hospital is known to bring relief in a mean time of 3.5 minutes. To compare a new pain reliever with the one currently being used, a random sample of 45 patients is given the new drug. The mean time to relief for this sample is 2.8 minutes with a standard deviation of 1.14 minutes. a) Test the research (alternative) hypothesis that the new drug is more effective than the old drug, using α ≤ .05. b) Assuming a standard deviation of 1.14 minutes, approximately how large a sample of patients would be needed to form a 90% confidence interval to estimate the population time-to-relief of the new drug accurate to within plus or minus 10 seconds? Answers: 2. a) Z = -4.12, reject H0, new drug is more effective, b) 127
Which is cheaper: eating out or dining in? The mean cost of a steak, salad, and rice bought at the grocery store is $13.04. A sample of 30 neighborhood restaurants showed a mean price of $12.15 and a standard deviation of $2 for a comparable restaurant meal. 1.1) Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than $13.04. 1.2) At alpha = 0.05, what is your conclusion? Show a detailed solution to support your conclusion. (Find p-values at: https://www.socscistatistics.com/pvalues/tdistribution.aspx)
A college entrance exam company determined that a score of 21 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 21.2 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 21 on the math portion of the exam? Complete parts a) through d) below. iueiuiy uie LUSI SiauSuc. to = 0.96 (Round to two decimal places as needed.) Identify the P-value, P-value = (Round to three decimal places as needed.)
The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $14,124. The following year, a random sample of 20 two-year institutions had a mean of $17,124 and a standard deviation of $3700. Is there sufficient evidence at the alpha level of 0.05 to conclude that the mean cost has increased. Show 6 steps of hypothesis
Do male and female servers at Swank Bar work the same number of hours? A sample of 65 female servers worked an average of 30 hours per week, with a standard deviation of 2. A sample of 65 male servers worked an average of 23 hours per week, with a standard deviation of 4. Let 41 and uz represent the typical number of hours worked by all female and male servers at Swank Bar, respectively. Estimate with a 90% confidence level how many more hours female servers work. Round answers to the nearest hundredth. Which of the following does your data suggest? O Male servers work more hours O Female servers work more hours O Female and male servers work about the same number of hours
Based on information from the Statistical Forum, the population mean daily cost of operating a car is $ 18. A random sample of 26 students who own cars found a sample mean operating cost per day of $17.30. The population standard deviation is known and its value is $3.2. Test the alternative hypothesis that the population mean daily cost of operating a car for all students is lower than the national population average of $18. Use the 1% level of significance. 1) Specify the null and the alternative hypotheses. 2) Compute the Sample Test Statistic for this hypothesis test. 3) Find the p-value for this hypothesis test. 4) What is the decision for this hypothesis test.

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