All incoming freshmen at a major university are given a mathematics diagnostic exam. The scores  are normally distributed with a mean of 120 and a standard deviation of 25. If a student scores less than a certain score, he or she will have to undergo an intervention program. Find the cutoff score at which 64% of the students  would have to undergo the intervention program.

Q: Public health statistics indicate that 26% of  American adults smoke cigarettes. A random sample of…

A:

Q: Former basketball player, Rebecca Lobo, is 6'4" (or 76 inches). Suppose the average height of women…

A: We know, (1 foot = 12 inch)Given;X: height of womenmean(X)=μ=5'4''(i.e. 5 foot 4 inches)=64''(i.e.…

Q: Find the 30th percentile of the blood pressures. Find the 67th percentile of the blood pressures.…

A: Consider a random variable X which represents the diastolic blood pressures of adult women in the…

Q: Salaries for teachers in a particular elementary school district are normally distributed with a…

A: The properties of the normal distribution is,   The Normal distribution curve is and bell shaped…

Q: n the state of Ohio, data has shown that 9% of adults are illiterate (lack basic reading and writing…

A: Solution: Given information: n1=300 Sample size of adults from Alabama n2=250 Sample size of adults…

Q: Find the sample standard deviation.

A: Given that:n= 12  Sample size

Q: Calculate the mean, standard deviation, and variance for the following five scores: 9, 4, 7, 1, 4.

A: Considering the scores as population. The population mean is, μ=∑XN=9+4+7+1+45=255=5 Thus, the…

Q: Calculate the mean, standard deviation, and variance for the following five scores: 9,4,7,1,4.

A:

Q: The weight of football players is normally distributed with a mean of 200 pounds and a standard…

A: Given,mean(μ)=200standard deviation(σ)=25

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Find the sample standard deviation. The top five scores on last semesters midterms were 90 97 100 90…

A: The question is about measures Given : Data - 90, 97, 100, 90, 93   To find : Sample std. deviation

Q: scores are normally distributed with mean 500 and standard deviation 100. Julie scores 650. Her…

A: Consider X be the random variable representing the SAT scores. X follows normal distribution with…

Q: The temperature is recorded at 80 airports in the region. The average temperature is 65 degrees…

A: Solution

Q: In a normal distribution, 11% of the items are under 35 and 76% are under 83. Find the mean and…

A:

Q: Compute the mean, median, Variance, and the standard deviation for the data below: 3,2 ,3, 4, 3…

A:

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: A quantitative data set has size 80. At least how many observations lie within two standard…

A: It is given that a quantitative data set size is 80.

Q: Explain why each scenario is either sample or population standard deviation. All SCAD students are…

A: Survey based question

Q: Allegiant Airlines charges a mean base fare of $89. In addition, the airline charges for making a…

A: Given that: Mean base fare = $89 Additional Charges = $35 Sample size,  n = 50 Population standard…

Q: Write the steps of calculating the population standard deviation.

A: Standard deviation: The standard deviation is based on how much each observation deviates from a…

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: Two classes were given identical quizzes. Class A had a mean score of 8.4 and a standard deviation…

A: Step 1:Class A had mean score of 8.4Class B had mean score of 8.3Class A had better mean score than…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7

Q: art professor gives an A to any student in the top 9% of the distribution. The grades are normally…

A: Given X~N(mean μ=60, standard deviations σ=5) P(X>b)=9%

Q: H=34, o=4.5, the score is 2.5 standard deviations above the mean

A: Suppose the variable of interest is x.The mean is and the standard deviation is .

Q: In a normally distributed data set of how long customers stay in your store, the mean is 43.5…

A: Given data Mean μ = 43.5 Standard deviation σ = 3.9 95% of your customers to stay in your store.…

Q: Exam scores have a normal distribution, with Mean of 70 and Standard deviation of 10. Bob’s score…

A: Exam scores have a normal distribution, with Mean of 70 and Standard deviation of 10. Bob’s score…

Q: A baseball team is reviewing their batting statistics. The mean number of hits for the batters on…

A: Given Population mean μ=124,  standard deviations σ=14.5  Let X be the baseball team is reviewing…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: he lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A:

Q: Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the…

A: Given 126,138,132,138,124,122

Q: A quantitative data set has a size of 50. At least how many observations lie within seven standard…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: Most graduate schools of business require applicants for admission to take the Graduate Management…

A: Given that  μ=527σ=112

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.