The local police force gives all applicants an entrance exam and accepts only those applicants who score on the top 15% on this test. If the mean score this year is 87 and the standard deviation is 8, would an individual with a score of 110 be accepted?

Q: The scores on the board are Normally distributed with a mean of 67 and a standard deviation of 13.…

A: From the provided information,X~N (67, 13)The bottom 5% of students will fail.

Q: If the average weight for cats is 12 pounds and the standard deviation is 2 pounds. 95 percent of…

A: Given data:  average weight for cats = 12 pounds standard deviation = 2 pounds. To find: 95 % of all…

Q: A statistics professor gave a final exam to a class of 30 students. The exam scores are normally…

A: Given,mean(μ)=75standard deviation(σ)=10

Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…

A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38

Q: u and your friend have recently taken two different standardized mathematics exams. You scored 92 on…

A: The mean = 100The standard deviation = 10

Q: The class mean for the exam was 82 with a standard deviation of 6.  There are 37 students in the…

A: We have given that, Mean = 82 , standard deviation σ = 6  sample size n = 37   Standard error of the…

Q: Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of…

A:

Q: A recent poll found that 59% of adults believe the state of moral values is poor. For 400 randomly…

A: Here, n = 400 and p = 0.59

Q: what if the standard deviation was 30, instead of 60

A:

Q: An IQ exam has a mean of 110 and a standard deviation of 12. What percent of people have an IQ score…

A: Given mean= 110 Standard deviation=12 We know that Z=X-mean/standard deviation

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…

A: Given Data: Let X represent the random variable   X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…

Q: A test has a mean of 140 and a standard deviation of 27. What proportion of people have scores…

A:

Q: On a national achievement test score was 850 with a standard deviation of 100. What proportion of…

A:

Q: if a student scored 88 points on a test when the mean score was 80.2 and the standard deviation was…

A: From the provided information, Mean (µ) = 80.2 Standard deviation (σ) = 5.7

Q: If the main level of snowfall for Boston Massachusetts is 44 inches per year and the standard…

A:

Q: 500 freshmen at Crescent High School took an algebra test. The scores were distributed normally with…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: The average score on the Stats midterm was 70 points with a standard deviation of 6 points,…

A: Given that.   X~N( μ , ?)   μ=70    , ?=6  , Z-score = -1   Z-score =( x - μ )/?

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: A flu test shows that about 31% of 90 patients visited hospital in the first week of January had…

A: Given that  n = 90 , p = 31% = 0.31 , q = 1 - p = 1 - 0.31 = 0.69 X ~ Binomial (n = 90 , p = 0.31) X…

Q: The mean and standard deviation for last year's final exam were 69 and 10, respectively. This year,…

A:

Q: One year, many college-bound high school seniors in the US took the SAT. For the verbal portion of…

A: According to the given information in this question We need to find the percentage of students would…

Q: The average score of all golfers for a particular course has a mean of 76 and a standard deviation…

A: We have given information with the usual notation, Let X denote the score of golfers for a…

Q: The scores on a standardized test are approximately normal with a mean of 83 and a standard…

A: Let T be minimum score needed to be in top 8%

Q: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

A: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

Q: Sophia's final exams have an average of 78 and a standard deviation of 6. If she wants 4% of her…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Consider X be a random variable which follows normal distribution indicating the score earned on a…

Q: Convert score 46 to z-score if the mean is 40 and the standard deviation is 4.

A: The definition of a z-score is:   z = (X - μ) / σ

Q: standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny's z score is -0.56…

A: Given that Jenny's z score= -0.56, Nicole's z score=1.13

Q: A set of math test scores has a mean of 70 and a standard deviation of 8.  A set of English test…

A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Q: The mean of a test score was 21.2 and the standard deviation was 5.1 . Identify the rest scores that…

A: Given Data Mean µ= 21.2. Standard Deviation σ= 5.1. Assuming that the given data is obtained from a…

Q: on a national achievement test score was 850 with a standard deviation of 100. what proportion of…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: On Bob's last history test, he had a score of 92.  Bob's z-score was -0.5, and the test's standard…

A: Solution -Given that Score in History test be X=92 Z- Score=-0.50 Standard deviation= 6 Find mean…

Q: Sarah​'sscore on the Stats midterm was 81 points. The class average was 76 and the standard…

A: Given that  Mean = 76 SD = 5 And the Sarah's score is X = 81

Q: mandatory competency test for high school sophomores has a normal distribution with a mean of 329…

A:

Q: Aliyah scored at the 45th percentile on the Stanford Achievement Test (mean= 500, standard deviation…

A:

Q: When Christian runs the 400 meter dash, his finishing times are normally distributed with a mean of…

A:

Q: Pattys final exams have an average of 78 and a standard deviation of 6.  If she wants 4% of her…

A: X follows a Normal distribution with mean = 78 and S.D = 6 Then z=(x-mean)/SD = (x-78)/6  follows…

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…