
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 40 people, the mean body mass index (BMI) was 26.6 and the standard deviation was 6.13.arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of 102.1 and a standard deviation 16.3. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)arrow_forwardYou want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 29 Model A washing machines is $211. Assume the population standard deviation is $15. The mean repair cost of 26 Model B washing machines is $216. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). O A The mean repair cost for Model A is greater than Model B B. The mean repair costs for Model A and Model B are equal. O C. The mean repair cost for Model A is less than Model B O D. The mean repair costs for Model A and Model B are different. Let u, be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are Ho and H,? O B. Ho: H1 =H2 Hai H1 # H2 O E. Ho: H1 # H2 OC. Ho: H1 SH2 Hai H1>H2 OF. Ho: H1ZH2 Ha:…arrow_forward
- Construct the confidence interval for the population mean. If the sample size is 35, the sample mean is 4.8, and the sample standard deviation is 2.2. We also know that the population standard deviation is 2.6. Use the Confidence Level = 95%. Use parentheses and four decimal places.arrow_forwardAfter the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals. that people are eating more and thus gaining weight. In 2018, the average weight of 192 pounds, and health experts want to know if that average weight of the American male has gone up during this pandemic. d. A sample of 50 American males yeilded a sample average weight of 195 pounds and a sample standard deviation of 14.5 pounds. What is your conclusion at the 5% level of significance? (be sure to state your conclusion in the context of this problem) e. Would your conclusion change if the level of significance were changed to 1%? Briefly explain.arrow_forwardUse the t-table or any statistical tool and report the t-score that you multiple by the standard error to form the margin of error for a 95% confidence interval for a mean with 5 observations. a. 2.132 b. 2.776 c. 2.015 d. 2.571arrow_forward
- Assume that the test scores for biostatistics midterm examination are normally distributed with a mean of 74 and a standard deviation of 10. i. Suppose that you receive a score of 88. What percent of the class received scores higher than yours? ii. Suppose that the teacher wants to limit the number of A grades in the class to no more than 20%. What would be the lowest score for an A?arrow_forwardUse the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.arrow_forwardIn a random sample of eleven people, the mean driving distance to work was 18.1 miles and the standard deviation was 7.6 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret the results.arrow_forward
- Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard deviation 22.5. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)arrow_forwardIn Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and Ha? Ho: µ#37 O A. Ho: μz37 Oc. H3i µ 37 OB. Hai H=37 Hai us37 Ho: H = 37 Ha:µ 37 Ho: µ= 37 Ha: H#37 Find the test statistic. t= -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p (Type an integer or decimal rounded to three decimal places as needed.)arrow_forwardBelow, n is the sample size, p is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the Cumulative Normal Distribution Table to find the probability. Round the answer to at least four decimal places. n=80, p=0.45 P<35<X42arrow_forward
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