The Stanford-Binet IQ test is scaled so that scores have a mean of 100 and a standard deviation of 16. Find the z-scores for IQs of 85, 100, and 125.

Q: People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have…

A: Given,   People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ…

Q: a manufacturer claims that the mean lifetime of its fluorescent bulbs is 1050 hours. a homeowner…

A: Given n=40 Standard deviation =80 Xbar=1030 Level of significance=0.05 Mu0=1050

Q: On a standardized test, scores are normally distributed with a mean of 400 and a standard deviation…

A: Given data,μ=400σ=80P(X<x)=80%=0.80x=?

Q: The scores on a psychology exam were normally distributed with a mean of 50 and a standard deviation…

A:

Q: for a population with a standard deviation of 5 and mean of 40, draw a bell shaped curve, marking…

A: In statistics, the empirical rule says that for normal distribution, 68%, 95%, and 99.7% of the…

Q: Assume that among the members of a men's gym, the distribution of body weights has a mean of 188…

A:

Q: Assume that the mathematics score on the SAT are normally distributed with a mean of 500 and a…

A: Given

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

Q: The number of minutes spent reading in one day is normally distributed with a mean of μ = 23 and a…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: Show that the standard deviation of z-scores equals 1

A: z score is given by, z score = x-μσ Where, x: Raw score μ: Population mean. σ: Population standard…

Q: A random sample of 26 psychology graduates scored an average of 458 on the GRE advanced psychology…

A: From the provided information, Sample size (n) = 26 Sample mean (x̅) = 458 Sample standard deviation…

Q: Can you find the mean and the standard deviation with this data?

A: Given: Data on Index finger length for female. Step-by-step procedure to obtain the mean and the…

Q: The 2018 Math Portion of the SAT score are normally distributed with a mean of 527 and a standard…

A: Empirical Rule: If a population has bell shaped distribution with mean µ and standard deviation σ ;…

Q: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during…

A: Given that  Sample size=50 , Mean=6.9 Population Standard deviation=2.3

Q: A dataset has a mean of 48.1 and a standard deviation of 6.3. What is the z-score of the value 18.5,…

A: Solution  Given That, A dataset has a mean of 48.1 and a standard deviation of 6.3. What is the…

Q: 1. On a final examination in Mathematics, the mean was 76 and the standard deviation was 5.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A study determined the average amount a person spends on candy during Halloween is $80 with a…

A: Here, μ=80 and σ=15

Q: A standardized test of intelligence is scaled so that the mean IQ is 100, and the standard deviation…

A: Given that information  Mean = mu= 100  Standard deviation = s =15  Zscore = (x - mu)/s

Q: The mean BMI score for dieters on the Jenny Craig weight loss program is 38.5, and the standard…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Let X be the golf scores. It is given that X is normally distributed with mean 68 and standard…

Q: For a sample of raw scores, you calculate a mean of 15.25 and a standard deviation of 3.19. What is…

A: Introduction:Suppose a random variable, X has sample mean, x̅ and sample standard deviation, s.For a…

Q: Nationally, the per capita monthly fuel oil bill is $110. A random sample of 36 cities in the…

A: Let μ denotes the population mean per capita monthly fuel oil bill. The national per capita monthly…

Q: The combined math and verbal scores for students taking a national standardized examination for…

A: μ = 800 σ = 190

Q: The scores of students on an exam are normally distributed with a mean of 241 and a standard…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 241 and…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

Q: for a population with a standard deviation of 10 and mean of 100, draw a bell shaped curve, marking…

A: We have to draw bell shaped curved and marking location of the mean and standard deviation..

Q: ) Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard…

A: Let "X" be the IQ score of adults. Find z-value (z): Refer Standard normal table/Z-table, Lookup…

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: The average number of moves a person make in his/her lifetime is 12 and the standard deviation is…

A: Given,sample size(n)=25mean(μ)=12standard deviation(σ)=3.5

Q: What is the standard deviation of a ribution that has a mean of 46.2 if a FORMANCE value of 28 is…

A: Given information: The mean of the distribution is µ = 46.2 The performance value is x = 28. The…

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: At a college, the mean height of women is 63 inches with the standard deviation of 3 inches. What is…

A: Given,mean(μ)=63standard deviation(σ)=3

Q: What is the z-score of a value of 27, given a set mean of 24, and a standard deviation of 2?

A:

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: A z-score of +1.6 represents a value which is how many standard deviations above the mean?

A:

Q: Statewide, the population as a whole watches 6.2 hours of TV per day. A random sample of 1017 senior…

A: Given data is appropriate for testing of hypothesis to test z-test for single mean because it is a…

Q: The combined math and verbal scores for students taking a national standardized examination for…

A:

Q: The exam scores of 200 students are distributed normally with a mean of 72 and a standard deviation…

A: Total students = 200 Standard deviation = 10 And distribute mean = 72 We have to find the number of…

Q: A student scored 66 on a general science test where the class mean and standard deviation were 82…

A:

Q: The scores on a psychology exam were normally distributed with a mean of 59 and a standard…

A: Mean = 59 Standard deviation = 10 The formula for z is: z=x-μσ

Q: A grade of 81 in a test in which the mean is 75 and the standard deviation is 12 corresponds to a…

A:

Q: The daily sales at a convenience store have a mean of $1280 and a standard deviation of

A: As given, the daily sales at a convenience store have a mean of $1280 and a standard deviation of…

Q: The scores of students on an exam are normally distributed with a mean of 193 and a standard…

A:

Q: The average score on the verbal portion of the college entrance exam is 453, with a standard…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: The combined math and verbal scores for students taking a national standardized examination for…

A: Given: Mean of combined scores of students = 880 Standard deviation of combined scores of students =…

Q: for a population with a standard deviation of 4.2 and mean of 32.5, draw a bell shaped curve,…

A:

Q: The mean salary of all employees in a company is $3,485, and the standard deviation is $1,870. Find…

A:

Q: The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test…

A: Given distribution is bell shaped. In bell shaped distribution mean, median and mode are equal.…

Q: for a population with a standard deviation of 8 and mean of 40, draw a bell shaped curve, marking…

A: Given data  Mean = 40 and standard deviation= 8

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.