MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Thirty randomly selected students took the calculus final. If the sample mean was 74.2 and the standard deviation was 5.2, find the margin of error of a 99% confidence interval for the mean score of all students. Round to the nearest hundredth.
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- Which test was better?. Gina took a midterm in her math class and her biology class. After she gets her grades for those midterms, she wonders if she did better on the math midterm or the biology midterm. For the math test, she received 47 points where the mean was 39 and the standard deviation was 13. Calculate the z-score for the math test for Gina. Be sure to round to 2 decimal places. Answer:arrow_forwardCO LO Translate Mikayla and April began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Mikayla took a test in Science and earned a 78.6, and April took a test in English and earned a 61.3. Use the fact that all the students' test grades in the Science class had a mean of 75.6 and a standard deviation of 11.8, and all the students' test grades in English had a mean of 65.3 and a standard deviation of 9.6 to answer the following questions. a) Calculate the z-score for Mikayla's test grade. [Round your answer to two decimal places.] 三2 b) Calculate the z-score for April's test grade. [Round your answer to two decimal places,] 三2 c) Which person did relatively better? Mikayla O April O They did equally well. Submit Question 52°F Clou +56 五。 Orarrow_forwardUse z scores to compare the given values. The tallest living man at one time had a height of 225 cm. The shortest living man at that time had a height of 136.8 cm. Heights of men at that time had a mean of 173.31 cm and a standard deviation of 5.54 cm. Which of these two men had the height that was more extreme?arrow_forward
- A machine makes sticks of butter whose average weight is 4.0 ounces. The SD of the weights is 0.05 ounces. There is no trend or pattern to the data. There are 4 sticks to a package. (1 pound = 16 ounces) A store buys 100 packages of butter. Estimate the chance that they get 100 pounds of butter, to within 2 ounces.arrow_forwardRecords on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a mean of 22,100 miles. The fleet owner purchased 18 sets and found that the sample average life was 23,400 miles; the sample standard deviation was 1,412 miles. To decide if the sample data support the company records that the spark plugs average is LESS THAN 22,100 miles, state your decision in terms of the 6 steps. Use a 0.025 level of significance. 1, define h0 and h1 2. define Alpha 3. which Test, T or Z? 4. decision role, with the picture if necessary. 5. calculate sample test and reach your decision, reject h0 or fail to reject h0 6. conclusion based on the problem.arrow_forwardGrace has a dog and its weight is z = -0.5lbs. Her current weight is 47 lbs. The average weight for medium-sized dogs is 50 lbs. What is the standard deviation for a dog of her size?arrow_forward
- Two 2017 high school graduates want to compare their results on college entrance exams. Alex scored 1401 on the SAT, and Olivia scored 32 on the ACT. For 2017, the mean SAT score was 1060, and the standard deviation was 195. That same year, the ACT had a mean score of 21.0 and a standard deviation of 5.6. Calculate a z-score for each student, determine which student had the better test score, and explain why.arrow_forwardOn a nationwide math test, the mean was 57 and the standard deviation was 4. If Roberto scored 90, what was his z-score?arrow_forwardThe average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?arrow_forward
- The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.arrow_forwardIf someone scored a 17 when the mean is 19 with a SD of 5, what would their score be if the mean were 100 with a SD of 15?arrow_forwardThe local pilots association examined records from this year's census of its members. Tom is a member, and the census shows that he has 4210 hours of flight experience. The census also shows that among all members of the association the mean flight experience is 3095 hours with a standard deviation of 679 hours. Find the z-score of Tom's flight experience relative to the flight experiences of all the members of the pilots association. Round your answer to two decimal places.arrow_forward
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