Suppose you are given two test scores: 1) a score of 220 where the mean of the test is 200 and standard deviation is 21 and 2) a score of 90 on a test with mean of 80 and a standard deviation of 8. How would they compare? (a) You cannot determine which score is better from the given information. (b) The two scores are statistically the same. (c) A score of 220 with a mean of 200 and a standard deviation of 21 is better The two scores are statistically the same. (d) A score of 90 with a mean of 80 and a standard deviation of 8 is better.
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Given that
A score of 220 where the mean of the test is 200 and standard deviation is 21.
A score of 90 on a test with mean of 80 and standard deviation is 8.
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- Solve the problem. A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 22 and a standard deviation of 5. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 10.3. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.) 078 83 86 85If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: - 2.00, - 1.00, 0, 1.00, 2.00? Why? OA The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score. O B. The z score of 0 is most preferable because it corresponds to a test score equal to the mean. OC. The z score of - 1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score. OD. The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. O E. The z score of -2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. O Time MacBook PrO -> G Search or type URL esc ! @ #3 2$ % 2 4 6. 7 8 R Y P Q tab A S F G K caps…A population has a mean of u = 50 and a standard deviation of a = 10. If 3 points were added to every score in the population, what would be the new values for the mean and standard deviation? O The new mean is u = 47, and the new standard deviation is a = 13. The new mean is u = 47, and the standard deviation is still a = 10. O The new mean is u = 53, and the standard deviation is still o = 10. O The mean is still u = 50, and the new standard deviation is a = 13. If every score in the population were multiplied by 2, what would be the new values for the mean and standard deviation? The new mean is µ = 100, and the new standard deviation is still a = 10. The new mean is u = 52, and the new standard deviation is o = 20. The new mean is u = 100, and the new standard deviation is a = 20. The mean is still u = 50, and the new standard deviation is o = 20.
- Consider two completely different data sets: price per gallon of gas in Fort Pierce and SAT scores of students at a certain high school. The price per gallon of gas data set has a mean of $2.95 and a standard deviation of S1.15. The high school SAT scores data set has a mean of 1078 and a standard deviation of 198. Calculate the Coefficient of Variation for both data sets. Round solutions to one decimal place, if necessary. Coefficient of Variation for the price per gallon of gas data set: Coefficient of Variation for high school SAT scores data set: Which data set has greater variability? Price per gallon of gas Thus, we see that when comparing two data sets, the data set with the larger standard deviation does not v necessarily have greater variabilty. Check All PartsUse z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallestThere 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
- Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.Suppose the scores on your last Algebra 2 test were normally distributed, with a mean of 81% and a standard deviation of 3%. To show you how you compared to your classmates, the teacher did not record your grades as per- centages, instead, she wrote them as z-scores. You look at your paper and see "2.66" written at the top. What was your score as a percentage? Explain how you determined your answer.There are two national college-entrance examinations, the scholastic aptitude test (SAT) and the American College Testing program (ACT). Scores on the SATs are approximately normal with mean 500 and standard deviation 100. Scores on the ACTs are approximately normal with mean 18 and standard deviation 6. Use the links provided for the Normal (Links to an external site.)calculator and the Inverse Normal (Links to an external site.) calculator to help complete the problems, you do not need to do any work out by hand. (instructions on how to use these calculators can be found in the week 5 star on the home page) a) What percent of all SAT scores are above 600? b) Which is the greater accomplishment, scoring 630 on the SAT or 22 on the ACT ? Explain your reasoning for your choice. c) How high a score in the SAT is needed to place in the top 2.5%.
- Suppose in 2000, the science scores for female students had a mean of 146 with a standard deviation of 35. Assume that these scores are normally distributed with the given mean and standard deviation. _________________ of the female students scored between 76 and 216On an intelligence test, the mean number of raw items correct is 236 and the standard deviation is 39. What are the raw (actual) scores on the test for people with IQs of (a) 119, (b) 81, and (c)100? To do this problem, first figure the Z score for the particular IQ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15. (a) What is the raw (actual) score on the test for people with an IQ of 119?Suppose the scores on an exam have a mean of 70 with a standard deviation of 10. If one student hasa test result with a z-score of -0.8 and a second student has a test result with a Z-score of 1.8, how many points higher was the second student's score than that of the first? O a. 10 O b. 20 O c. 2.6 O d. 13 O e. 26