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Nationally, SAT scores are distributed normally with mean of 1070 and a standard deviation of 200 What is the probability that a randomly selected student scores more than 1000 on the SAT? 0.350 or 35.0% b) 0.363 or 36.3% b) 0.50 or 50% 0.637 or 63.7% d) 0.650 or 65%

Nationally, SAT scores are distributed normally with a mean of 1070 and a standard deviation of 200 What is the probability that randomly selected student scores at most 750 on the SAT? a) 0.055 or 5.5 % b) 0.106 or 10.6% 0.361 36 d) 0.894 or 89.4% e) 0.945 or 94.5%

Nationally, SAT scores (out of 1600) are distributed normally with mean of 1070 and standard deviation of 200. Eighty percent of test takers score less than What is thal score rounded t0 Ihe nearest 10? a) 810 b) 870 c) 900 d) 1150 e) 1240

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08:06

The distribution of the math portion of SAT scores has a mean of 500 and a standard deviation of 100 , and the scores are approximately Normally distributed.a. What is the probability that one randomly selected person will have an SAT score of 550 or more?b. What is the probability that four randomly selected people will all have SAT scores of 550 or more?c. For 800 randomly selected people, what is the probability that 250 or more will have scores of 550 or more?d. For 800 randomly selected people, on average how many should have scores of 550 or more? Round to the nearest whole number.e. Find the standard deviation for part d. Round to the nearest whole number.f. Report the range of people out of 800 who should have scores of 550 or more from two standard deviations below the mean to two standard deviations above the mean. Use your rounded answers to part $\mathrm{d}$ and $\mathrm{e}$.g. If 400 out of 800 randomly selected people had scores of 550 or more, would you be surpri…

06:48

The distribution of math SAT scores in 2017 was approximately normal with a mean of 530 and a standard deviation of 110.

A. What is the probability that an individual student whose score is 650 or higher? — P(x â‰¥ 650) = ?B. What is the probability that the average score of a group of 64 students is 550 or higher? — P(x â‰¥ 550) = ? Calculate the Z-score for the stats.C. What proportion of the scores fall between 500 and 650?D. Suppose a college program says it admits only people with SAT scores among the top 20%. How high an SAT score does it take to be eligible?

10:05

The distribution of scores of students heading to college in the math section of the SAT follows a normal distribution with mean Î¼ = 520 and standard deviation Ïƒ = 115.

X = The score of a student heading to college in the math section of the SATXÌ„ = The mean score of 100 students heading to college in the math section of the SATâˆ‘X = The total score of 100 students heading to college in the math section of the SAT

(b) What is the probability that the score of a student is less than 480?(c) What is the distribution of XÌ„?(d) What is the probability that the mean scores of 100 students is between 518 and 530?(e) What is the distribution of âˆ‘X?(f) What is the probability that the total scores of 100 students is more than 51500?(g) What is the 65th percentile for the mean scores of 100 students?

03:42

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean Î¼=553.9 and standard deviation Ïƒ=28.7. (a) What is the probability that a single student randomly chosen from all those taking the test scores 557 or higher? ANSWER: 0.4444 For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took the test. (b) What are the mean and standard deviation of the sample mean score xÌ„, of 25 students? The mean of the sampling distribution for xÌ„ is: The standard deviation of the sampling distribution for xÌ„ is: (c) What z-score corresponds to the mean score xÌ„ of 557? ANSWER: (d) What is the probability that the mean score xÌ„ of these students is 557 or higher? ANSWER:

03:53

The scores of students on the SAT college entrance examinationsat a certain high school had a normal distribution with mean𝜇=555.3 and standard deviation 𝜎=29.7. (a) What is the probabilitythat a single student randomly chosen from all those taking thetest scores 562 or higher? ANSWER: For parts (b) through (d),consider a simple random sample (SRS) of 35 students who took thetest. (b) What are the mean and standard deviation of the samplemean score 𝑥¯, of 35 students? The mean of the samplingdistribution for 𝑥¯ is: 555.3 The standard deviation of thesampling distribution for 𝑥¯ is: 5.020216233 (c) What z-scorecorresponds to the mean score 𝑥¯ of 562? ANSWER: 1.334603867 (d)What is the probability that the mean score 𝑥¯ of these students is562 or higher? ANSWER:

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