IQ scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard deviation of σ = 15. Find the proportion of the population in the following IQ category:  IQ between 115 and 130

Q: ution of scores on the SAT is approximately normal with a mean of µ = 500 and a standard deviation…

A: The z score can be calculated as: z=x-μσ The required z score that is associated with the top 65%…

Q: The average expenditure on Valentine's Day was expected to be $100.89  (USA Today, February 13,…

A:

Q: nutritionist claims that the mean tuna consumption by a person is 3.1 pounds per year. A sample of…

A: From the provided information, Sample size (n) = 70 Sample mean (x̅) = 2.9 Population standard…

Q: The mean is 65 The Standard Deviation is 10 30 Students What score would be necessary to obtain…

A: From the given information, The Score of the student are normally distributed. Mean =μ=85 Standard…

Q: The time students take to complete an exam follows a uniform distribution and is between 35 minutes…

A: Given data: The time students take to complete an exam follows a uniform distribution. a = 35 b = 60

Q: The mean Wechsler IQ score is 100 with a standard deviation of 15. IQ scores are roughly normally…

A: Given data Mean (µ) = 100 Standard deviation (σ) = 15

Q: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 90 and a…

A:

Q: In a test of a lifelong brand of tires, a survey revealed that the mean life was 35,000 miles and…

A: Solution: 1. Let X be the lifelong brand of tires. From the given information, X follows normal…

Q: The IQ of a person follows a normal distribution and has a mean of 100 and a standard deviation of…

A: It is given that the mean is 100 and standard deviation is 15.

Q: Use the normal distribution of IQ​ scores, which has a mean of 95 and a standard deviation of 13​,…

A: Given that, Mean = 95 Standard deviation = 13

Q: The mean income of a group of sample observations is $500; the standard deviation is $40. According…

A:

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Given mean = 1503Standard deviation = 308The minimum score required for admission = 1626The Z score…

Q: SAT scores are normally distributed with a mean of 1500 and a standard deviation of 300. ACT scores…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: The data in a data set are normally distributed with a mean of 150 and a standard deviation of 30.…

A:

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be %100.89 . Do…

A: Given: For males: n1 = 42 X1 = 137.96 σ1 = 32 For females: n2 = 37 X2 = 66.6 σ2 = 18 Formula Used:…

Q: The average IQ in Sarah’s class is 105 with a standard deviation of 15. What is the z score of Sarah…

A:

Q: The mean and standard deviation of a population are 555 and 40, respectively. a. For a sample size…

A:

Q: Scores on an English exam are normally distributed with a mean of 78.6 and a standard deviation of…

A: From the given information, mean is 78.6 standard deviation is 5.3 Let us denote the score as 'a'…

Q: A national secondary achievement test is administered annually to high school students. The test…

A:

Q: For Jimena to be accepted into her favorite college, she will have to earn an entrance exam score at…

A: The exam scores are normally distributed with the mean, μ=790, and standard deviation, σ=50. Now, it…

Q: The scores of students on a standardized test are normally distributed with a mean of 300 and a…

A: X~N(μ=300, σ2=402) (A) P(220<X<380)= ?  (B) P(X<260)= ? (C) P(X>a)=0.25 a= ?  Note: This…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15.  a. In a sample of…

A: X follows a Normal distribution with mean = 100 and S.D = 15 Then z=(x-mean)/SD = (x-100)/15…

Q: The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees…

A:

Q: On the final examination in Engineering Data Analysis, the mean was 72 and the standard deviation…

A: Given, a) The standard scores (z-values) of students receiving the grade of 65 is,

Q: A distribution of values is normal with a mean of 163.1 and a standard deviation of 74.5.

A: From the given information, the mean is 163.1 and standard deviation is 74.5. Need to fine P12. That…

Q: The monthly income of 5,000 workers at the Microsoft plant are distributed normally. Suppose the…

A:

Q: The distribution of head circumference for full term newborn female infants is approximately normal…

A: The distribution of head circumference for full-term newborn female infants is approximately normal…

Q: A quantitative data set has mean 19 and standard deviation 4. Approximately what percentage of the…

A: The known values are, The formula for calculating the value of k is, The values of k are,

Q: Please answer B and C:

A: Solution: b. Let X1 be the expenditure of the male customers and X2 be the expenditure of the female…

Q: f the value of adult male cholesterol is a normal distribution with a mean of 198 and a standard…

A: The question is about normal dist. Given : Mean of cholesterol value of adult male ( μ ) = 198 Std.…

Q: Based on data from a​ college, scores on a certain test are normally distributed with a mean of 1531…

A: mean = 1531  a standard deviation = 324

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A:

Q: The average weight of a chicken egg is 57 grams with a standard deviation of 5.1 grams. What is the…

A: According to central limit theorem, for large sample (>30) or if the population follows normal…

Q: The scores of a test, which are approximately normally distributed and range from 1 to 36, are used…

A:

Q: Assume that math test scores are normally distributed with a mean of 400 and a standard deviation of…

A:

Q: The average body mass index of 500 college students is normally distributed with a mean of 25, with…

A:

Q: Test scores for the SAT are close to normal with an average of 850 and a standard deviation of 100.…

A: Given information: Mean SAT test scores μ=850 Standard deviation of SAT test scores σ=100 The SAT…

Q: Can you assist me in answering this? (Not graded, solely practice for acquisition) 321 298 287 263…

A: Chebyshev’s rule tells about the percentage data points or observations that must lie within the…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Let X denote the combined SAT scores for the students at a local high school and it follows normal…

Q: A population of scores has µ=44. In this population, a score of X= 40 corresponds to z= - 0. 50.…

A:

Q: The scores for an intelligence test are normally distributed with a mean of 102 and a standard…

A: Obtain the minimum test score necessary to place someone in the upper 9​% of the​ population. The…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A: Given information Let 1 denotes male and 2 denotes female n1 = 50 n2 = 33

Q: The weight of 100 female students aged 15 to 20 years have a mean of 120 pounds and a standard…

A: Solution: Given data: Sample size (n) = 100 Mean = 120 pounds Standard deviation = 6 pounds

Q: he average bmi (body mass index) of 500 college students is normally distributed with a mean of 25,…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A: The sample size for males is 40, mean is 133.85, population standard deviation is 34, and the sample…

Q: Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test…

A: SAT SCORES ACT SCORES P(X=1490):z-score for X=1490 =  Percentile score for X=1490 = 0.4641 x 100 =…

Q: On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for…

A:

Q: The scores for a standardized test follow a normal distribution with a mean test score x¯=84, and…

A: Obtain the percent of students score below 87. The percent of students score below 87 is obtained…

Q: On standard IQ​ tests, the mean is 120 and the standard deviation is 16. The results are very close…

A: Given:-   Normal distributionmeanμ =120standard deviationσ=16we have to find PX>120

Q: The quality-grade point averages of 300 college freshmen follow approximately a normal distribution…

A: Given : Population Size (N) =300 The quality-grade point averages of 300 college freshmen follow…

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.