2 An advertising agency would like to create an advertisement for a fast -food restaurantclaiming that the average waiting time from ordering to receiving your order at therestaurant is less than 5 minutes. The agency measured the time from ordering todelivery of order for 25 customers and found that the average time was 4.7 minutes witha standard deviation of 0.6 minute.Test at 1% level of significance if the advertising agency's claim is correct and determinethe average time between ordering and receiving the order.

Null hypothesis: µ=5. Alternative hypothesis: µ<5. This is a left tailed test. Since the…

Answered: 2 An advertising agency would like to…

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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The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 60 people had a mean FICO score of 695 with a standard deviation of 65. Can the economist conclude that the mean FICO score is less than 720? Use the =α0.05 level of significance and the P -value method. State the appropriate null and alternate hyopthesis
Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Researchers have 2 new types of paints they want to test paint type A and paint type B. For each paint type, they tested if there was statistical evidence the average reflectometer reading is greater than 35. To test each type of paint, they used 15 paint samples. Further, suppose the standard deviation is the same for both types of paints. The sample mean for paint type A was 39 and the sample mean for paint type B was 41.5. For both statistical tests, the significance level is set to .05.Which of the following is true? If they fail to reject the null hypothesis for paint type A we can conclude there is statistical evidence the average reflectometer for type A paint is 35. The p-value for the type B paint test is smaller. They rejected the null hypothesis for both paint types. Exactly two of the statements above are true. None are true.
Linda, a researcher in a technology company, obtained a sample of 270 smartphone owners from California. She wanted to investigate whether Californians were quicker or slower to buy the latest version of a smartphone than the people in the rest of the United States. Linda found the average number of days that Californians waited to buy the latest version of a popular smartphone to be 4. Smartphone owners in the rest of the country typically wait 6 days, with a standard deviation of 21.
ayşe travels often and lately has become lax about giving herself enough time to get to the airport. She leaves home 45 minutes before the last call for her flight will occur. Her travel time from her front door to the airport parking lot is “normally distributed” with a mean of 25 minutes and a standard deviation of 3 minutes. She must then take a shuttle bus to the terminal from the parking lot and go through security screening. The mean time for doing this is 15 minutes, and the standard deviation is 2 minutes; this time also is “normally distributed.” The driving time and the airport time are independent of each other. What is the probability that Ayşe will miss her flight because her total time for getting to the plane is more than 45 minutes?
On average, a flight reservation center can handle 190 customer calls per day with a standard deviation of 25 calls. Use the empirical rule to estimate the minimum and maximum number of calls that the flight reservation center can handle in a day.
A sleeping pill company have a pill that they claim will help you fall asleep in less than 30 minutes. A researcher is very skeptical of this claim and believe that it is more than 30 minutes. The researcher randomly collect 38 people and track how long it take them to fall asleep after they take the sleepy pill. The average mean time it took the 38 people to fall asleep is 31.5 minute with a standard deviation of 10.6 minutes. Test the researcher claim at a 10% significant level.
A psychologist investigated whether there is a difference, on average, in IQ scores for twins. She randomly selected 30 sets of twins from a database and measured their IQs. The mean difference (firstborn – second-born) was 2.1 points with a standard deviation of 7.2 points. Do the data provide a convincing evidence of a difference, on average, in IQ scores for twins? Do Perform the calculations, then complete the conclusion. Conclude Because the P-value, which is , is = 0.05, we H0. We convincing evidence of , on average, in IQ scores for twins.
The average high-density lipoprotein (HDL) cholesterol level of adult females is 53 milligrams per deciliter. You want to determine whether the true mean female HDL cholesterol level is more than the average. You decide to pull a random sample of 12 adult females and measure their HDL cholesterol level. You find the sample mean is 54.1 milligrams per deciliter and the standard deviation is 1.78 milligrams per deciliter. What are the test statistic and the p-value? O The test statistic is 2.14 and the p-value is 0.0278. O The test statistic is 0.0278 and the p-value is 2.14. O The test statistic is 1.1 and the p-value is 0.0278. O The test statistic is 0.0278 and the p-value is 1.1. O The test statistic is 0.51 and the p-value is 2.14.
Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 9.4 and standard deviation 2.6. For applicants who actually entered medical school, the mean score was 10.6 and the standard deviation was 1.7. (a) What percent of all applicants had scores higher than 11? (b) What percent of those who entered medical school had scores between 8 and 12?

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