The scores on a psychology test were normally distributed with a mean of 65 and a standard deviation of 4. Use the Empirical Rule to find the percentage of scores below 57.
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The scores on a psychology test were
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- The SAT score distribution for 2020 is approximately normal and has a standard deviation of 88% of students scored above a 800. What is the mean of the distribution?Use z scores to compare the given values. The tallest living man at one time had a height of 245 cm. The shortest living man at that time had a height of 120.7 cm. Heights of men at that time had a mean of 172.31 cm and a standard deviation of 6.66 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z = and the z score for the shortest man is z= the man had the height that was more extreme. (Round to two decimal places.)A teacher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10% will be B’s and D’s, and the rest receive C’s. The scores are normally distributed with a mean of 78 and a standard deviation of 8. Use the data to find the bottom cut-off for a D grade.
- Given that the mean score is 83 and the standard deviation is 6. What z-score corresponds to the score of 75?The mean height of males 20 years old or older is 69.1 inches with a standard deviation of 2.8 inches. The data is based on information obtained from the National Health and Examination Survey. Kevin is 83 inches tall. What is his z-score?The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 19 people reveals the mean yearly consumption to be 70 gallons with a standard deviation of 14 gallons. Assume the population distribution is normal. (Use t Distribution Table.) Would it be reasonable to conclude that the population mean is 58 gallons? No Yes It is not possible to tell.
- Use z scores to compare the given values. The tallest living man at one time had a height of 263 cm. The shortest living man at that time had a height of 56.6 cm. Heights of men at that time had a mean of 175.64 cm and a standard deviation of 8.78 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z = and the z score for the shortest man is z=, the man had the height that was more extreme. (Round to two decimal places.)The mean test score for a history test is 63 with a standard deviation of 9. The mean test score for a chemistry test is 23 with a standard deviation of 4. A student got a 66 on the history test and a 26 on the chemistry test, use Z-scores to determine the relative performance on each test. On which test did the student perform better, and why?Use z scores to compare the given values. The tallest living man at one time had a height of 246 cm. The shortest living man at that time had a height of 116.2 cm. Heights of men at that time had a mean of 170.86 cm and a standard deviation of 8.41 cm. Which of these two men had the height that was more extreme? and the z score for the shortest man is z = ☐, the man had the height that was more extreme. Since the z score for the tallest man is z = (Round to two decimal places.)
- Raw scores on standardized tests are often transformed for easier comparison. A test of Math ability has a Mean of 153 and a Standard Deviation of 10 when given to 3rd-graders. While 6th-graders have a Mean of 164 and a Standard Deviation of 7 on the same test. Leslie is a 3rd-grade student who scores 159 on the test. Hollis is a 6th-grade student who scores 168 on the test. Calculate the z-score for each student. Who scored higher within their grade-level? O Hollis; because her z-score is closer to the Mean for 6th-graders than Leslie's is for 3rd-graders. Leslie; because her z-score is larger than Hollis' z-score. O Leslie; because she is almost as smart as Hollis. O Hollis; because 168 is higher than Leslie's 159. O Leslie; because she is 6 points higher than the 3rd-grade level Mean while Hollis is only 4 points higher than the 6th-grade level Mean. Question 6 4 ptsA student took both the SAT and ACT before applying to college. For her graduation year, the mean SAT score was 1050 with a standard deviation of 210. The mean ACT score was 20.5 with a standard deviation of 5.5. Given that she scored 1120 on the SAT and 25 on the ACT, calculate her z-scores. Comparing z-scores, which test did she do better on?On a recent exam, a student scored a 91. The student’s result corresponds to a z score of 1.71. If the mean of the distribution is 74, what is the standard deviation of the distribution?
