QUESTION 27 In a normal distribution of scores with a mean of 35 and a standard...

QUESTION 27

In a normal distribution of scores with a mean of 35 and a standard deviation of 4, which event is more likely; a) a randomly selected score is between 29 and 31 or b) a randomly selected score is between 40 and 42? Explain your response in 2-3 sentences.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability...

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability for a.) 23 < x < 31 b.) 27<x<35 c.) 25 < x < 30 d.) x>26 e.) x < 24

Question 37: The distribution of SAT scores is normal with a mean of µ = 500...

Question 37: The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation of σ = 100. What SAT score (i.e., X score) separates the top 25% of the distribution from the rest? What SAT score (i.e., X score) separates the top 40% of the distribution from the rest? What SAT score (i.e., X score) separates the top 4% of the distribution from the rest?

The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6

The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z-scores using z = (x - µ) / σ ?Select one:a. The mean is 1 and the standard deviation is 0.b. The mean is 0 and the standard deviation is 1.c. The mean is 100 and the...

Scores on the SAT exam approximate a normal distribution with mean 500 and standard deviation of...

Scores on the SAT exam approximate a normal distribution with mean 500 and standard deviation of 80. USe the distribution to determine the following. (Z score must be rounded to two decimal places: (a) The Z- score for a SAT of 380 (2pts) (b) The percent of SAT scores that fall above 610 (3pts) (c) The prpbability that sn SAT score falls below 720 (3pts) (d) The percentage of SAT scores that fall between 470 and 620 (4pts)

Scores of female tests had a mean of 63% (assume normal distribution with a standard deviation...

Scores of female tests had a mean of 63% (assume normal distribution with a standard deviation of 10%). A. A girl is randomly selected from all females whose scores are higher than 75%. What is the probability that the girls score is higher than 96%. B. One thousand people are randomly selected. What is the probability that fewer than 100 of them have a score higher than 75%? Use normal approximation of binomial distribution. The weight of adult males are...

The standard normal distribution is a continuous distribution with a mean of 0 and a standard...

The standard normal distribution is a continuous distribution with a mean of 0 and a standard deviation of 1. The following is true: About 68% of all outcomes lie within 1 St.Dev. About 95% of all outcomes lie within 2 St.Devs. About 99.7% of all outcomes lie within 3 St. Devs. The probability/percentage/percentile for a normal distribution is the area under the curve. You will ALWAYS BE CALCULATING OVER AN INTERVAL. Values outside of 2 St.Devs. are considered “unusual values.”...

Problem 8 IQ scores have a normal distribution with mean µ = 100 and standard deviation...

Problem 8 IQ scores have a normal distribution with mean µ = 100 and standard deviation σ = 15. (A) Find the probability that the IQ score of a randomly selected person is smaller than 107. (B) Find the 95th percentile of IQ scores.

Consider a distribution of student scores that is Normal with a mean of 288 and a...

Consider a distribution of student scores that is Normal with a mean of 288 and a standard deviation of 38. 1. What is the normalized value (z-score) of a score of 300? 2. What is the proportion of students with scores greater than 300? 3. What is the proportion of students with scores between 290 and 320? 4. Using the 68-95-99.7 rule, what are the two scores symmetrically placed around the mean that would include 68% of the observations?

The distribution of scores on a recent test closely followed a Normal Distribution with a mean...

The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule. (a) What proportion of the students scored at least 21 points on this test, rounded to five decimal places? (b) What is the 63 percentile of the distribution of test scores, rounded to three decimal places?

The distribution of scores on a recent test closely followed a Normal Distribution with a mean...

The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule. (a) What proportion of the students scored at least 29 points on this test, rounded to five decimal places? (b) What is the 85 percentile of the distribution of test scores, rounded to three decimal places?

Subjects