**Transcription and Explanation for Educational Use**---### ContentThe percent of fat calories that a person consumes each day is normally distributed with a mean of about 37 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. Let \( \bar{X} \) represent the average percent of fat calories.**(a)** Give the distribution of \( \bar{X} \). (Round your standard deviation to two decimal places.)\[ \bar{X} \sim N(\text{mean}, \text{standard deviation}) \]**(b)** For the group of 16, find the probability that the average percent of fat calories consumed is more than 4. (Round your answer to four decimal places.)Graph the situation and shade in the area to be determined.- **Upper Left Graph:** - X-axis: Range approximately 10 to 40 - Y-axis: Density with a peak around 0.15 - Graph is unshaded- **Upper Right Graph:** - X-axis: Range approximately 10 to 40 - Y-axis: Density with a peak around 0.15 - Graph is shaded on the right side- **Lower Left Graph:** - X-axis: Range approximately 20 to 40 - Y-axis: Density with a peak around 0.15 - Graph is shaded on the left side- **Lower Right Graph:** - X-axis: Range approximately 20 to 40 - Y-axis: Density with a peak around 0.15 - Graph is shaded on the right side**(c)** Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.)\[ \text{First quartile:} \] ___ percent of fat calories---**Graph Explanation**The graphs illustrate the normal distribution of the daily percentage of fat calories consumed. Each graph displays a bell-shaped curve, highlighting various areas under the curve—some shaded, indicating different probability regions of interest. The X-axis represents the average percent of fat calories, while the Y-axis indicates the density of the distribution.- **Shaded and Unshaded Graphs:** - The shaded areas indicate the probability regions for specific calculation requests, such as the area representing more than a certain percentage of fat calories.The task typically asks students to

Answered: The percent of fat calories that a…

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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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 318. The test scores of four students selected at random are 1910, 1210, 2210, and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1474 and the standard deviation was 319. The test scores of four students selected at random are 1880, 1190, 2210, and 1380. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1880 is (Round to two decimal places as needed.) The Z-score for 1190 is (Round to two decimal places as needed.) The z-score for 2210 is (Round to two decimal places as needed.) The z-score for 1380 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are (Use a comma to separate answers as needed.) RECH OB. None of the values are unusual.
A distribution of values is normal with a mean of 190 and a standard deviation of 4.Find the interval containing the middle-most 30% of scores: Enter your answer using interval notation. Example: (2.1,5.6)
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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1466 and the standard deviation was 315. The test scores of four students selected at random are 1890, 1210, 2200, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1890 is. (Round to two decimal places as needed.).
There are several sections of Statistics; some in the morning and some in the afternoon. We randomly select n1 40 from the morning section and 44 from the afternoon section. The averages n2 of their scores are X1 76.3 for the morning section and X, = 71.9 for the afternoon section. The known standard deviations of their scores are 01 12.05 for the morning section and 02 13.06 for the afternoon section. Test the claim that the average for all students in the morning and afternoon section is the same. Use a a = 0.05 significance level. a. What is the negative critical region? Give your answer to two decimal places. z c. What is the test statistic? Give your answer to two decimal places. z = d. Do we reject or fail to reject the null hypothesis? OReject Ho OFail to reject Họ
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1544 and the standard deviation was 314.The test scores of four students selected at random are 1940, 1290, 2250,and 1420.Find the z-scores that correspond to each value and determine whether any of the values are unusual. (Round to 2 decimal places as needed.)
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1511 and the standard deviation was 312. The test scores of four students selected at random are 1910, 1280, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.) The z-score for 1280 is (Round to two decimal places as needed.) The Z-score for 2240 is (Round to two decimal places as needed.) The Z-score for 1420 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice OA. The unusual value(s) is/are (Use a comma to separate answers as needed.) OB. None of the values are unusual.
solve a b c
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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1458 and the standard deviation was 312. The test scores of four students selected at random are 1860, 1220, 2150, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1860 is (Round to two decimal plaes as needed.)
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1506 and the standard deviation was 317. The test scores of four students selected at random are 1940, 1230, 2190, and 1400. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.)

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