MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately 1.181.18% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately 0.880.88 SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)arrow_forwardThe scores of individual students on the American College Testing (ACT), a college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the mean of the sampling distribution of the sample mean score for a random sample of 36 students? 0 1 0 6arrow_forwardA sample consists of the following N scores 1,9,8,5,7 calculate the standard deviationarrow_forward
- A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.arrow_forwardThe height of women ages 20-29 is normally distributed, with a mean of 63.8 inches. Assume o = 2.8 inches. Are you more likely to randomly select 1 woman with a height less than 65.2 inches or are you more likely to select a sample of 23 women with a mean height less than 65.2 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 65.2 inches? (Round to four decimal places as needed.)arrow_forwardThe height of women ages 20-29 is normally distributed, with a mean of 64.4 inches. Assume o = 2.4 inches. Are you more likely to randomly select 1 woman with a height less than 65.3 inches or are you more likely to select a sample of 26 women with a mean height less than 65.3 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 65.3 inches? (Round to four decimal places as needed.) 4 What is the probability of selecting a sample of 26 women with a mean height less than 65.3 inches? (Round to four decimal places as needed.) ... Are you more likely to randomly select 1 woman with a height less than 65.3 inches or are you more likely to select a sample of 26 women with a mean height less than 65.3 inches? Choose the correct answer below. O A. It is more likely to select a sample of 26 women with a mean height less than 65.3…arrow_forward
- Given the data set below find the following; 45, 34, 65, 20, 15, 25 a. Compute the sample mean b. Compute the sample standard deviation c. Compute the standard error of the mean.arrow_forwardAccording to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.2, 0, 0, 0, 3.2, 3.2, 1.1, 0.8, 0.5, 1.3, 3.5 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: Select an answer O H1: Select an answer O c. The test statistic ? 0 = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? e a f. Based on this, we should Select an answer e the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence…arrow_forward
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