A new small business wants to know if its current radio advertising is effective. The owners decide to look at the mean number of customers who make a purchase in thestore on days immediately following days when the radio ads are played as compared to the mean for those days following days when no radio advertisements areplayed. They found that for 10 days following no advertisements, the mean was 18.3 purchasing customers with a standard deviation of 1.8 customers. On 7 daysfollowing advertising, the mean was 19.4 purchasing customers with a standard deviation of 1.6 customers. Test the claim, at the 0.02 level, that the mean number ofcustomers who make a purchase in the store is lower for days following no advertising compared to days following advertising. Assume that both populations areapproximately normal and that the population variances are equal. Let days following no advertisements be Population 1 and let days following advertising bePopulation 2.Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.TH = I1: °HInt: "H

Answered: Image /qna-images/answer/efdf8d57-4ded-4fb5-934a-beedbaff5b42.jpg

Answered: A new small business Wants to know if…

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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Lucas and Alex began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Lucas took a test in Math and earned a 73.4, and Alex took a test in English and earned a 70.5. Use the fact that all the students' test grades in the Math class had a mean of 74.1 and a standard deviation of 11.3, and all the students' test grades in English had a mean of 60.9 and a standard deviation of 8.1 to answer the following questions.a) Calculate the z-score for Lucas's test grade.z=z=b) Calculate the z-score for Alex's test grade.z=z=
A local firm reported that an American family of four washes an average of 2000 pounds of clothes per year. If the standard deviation of the distribution is 187.5 pounds, find the probability that the mean of a randomly selected sample of 50 families of four will be more than 1990 pounds. Be sure to state any assumptions being made and use a graph to show how it relates to answering this question.
One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.98. Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.37. For the males, the mean ERA was 4.456 and the standard deviation was 0.557. For the females, the mean ERA was 4.166 and the standard deviation was 0.635. Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla? (Note: In general, the lower the ERA, the better the pitcher.) Terry had an ERA with a z-score of Karla had an ERA with a z-score of (Round to two decimal places as needed.) Which player had a better year in comparison with their peers? OA. Karla had a better year because of a lower z-score. B. Terry had a better year because of a lower z-score. OC. Terry had a better year because of a higher z-score. OD. Karla had a better year because of a higher z-score.
Suppose that the quarterly sales levels among healthcare information systems companies are approximately normally distributed with a mean of 12 million dollars and a standard deviation of 1.1 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% 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.
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The first exam for a Stats course had a mean of 80 and a standard deviation of 4 points; the second had a mean of 70 and a standard deviation of 15 points. Reginald scored an 80 on the first test and an 85 on the second. Sara scored an 88 on the first but only a 65 on the second. Although Reginald's total score is higher, Sara feels she should get the higher grade. Explain her point of view.
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A Statistics instructor wanted to compare the scores on the same final exam given to students at a local community college and local university. The Statistics instructor feels that students at the community college would be better prepared and have higher exam scores on the final exam. After grading the final exams from both institutions, the Statistics instructor found that for a sample of 36 community college students, the sample had a mean score of 84 with a standard deviation of 3.4. A sample of 45 university students had a mean score 79 with a standard deviation of 2.6. Construct a 95% confidence interval for the difference between population mean exam scores. Round your final results to one decimal place. _____________ ≤ ??? − ????? ≤ ______________
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