One hundred students took a midterm exam designed to measure knowledge of statistics. Their scores on it formed a normal distribution with a mean of 80 and a standard deviation of six. Aisha earned an 89 on the exam. At approximately what percentile did her grade fall?

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: Given : Sample size, n = 50 Here the sample size is greater than 30 , the data can be approximated…

Q: A brother and sister took two different standardized tests.  He scored 114 on a test that had a mean…

A: Given that, A brother and sister took two different standardized tests.  He scored 114 on a test…

Q: College Professors have incomes with a standard deviation that is more than $21,000. A recent study…

A:

Q: A data set is normally distributed with a mean of 67 and a standard deviation of 12. What percent of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Yoonie is a personnel manager in a large corporation. Each month she must review the employees in…

A: Solution: It is given that from the past experience of Yoonie, it takes her approximately four hours…

Q: Jack owns a small neighborhood convenience store and has years of data tracking the most popular…

A: Given,mean(μ)=49standard deviation(σ)=7.1and n.of papers jack sold (X)=76

Q: The mean of a set of data is 108.06 and its standard deviation is 115.45 What is the z score for a…

A: Z-score = 3.3045 answer.

Q: Molly earned a score of 920 on a national achievement test. The mean test score was 825 with a…

A: Given that, The proportion of students had a higher score than Molly is,

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: Sophia, a yoga instructor at Yoga for You, selected random samples of 210 students from a nearby…

A: Given that, the t-value is 2.63. The sample sizes are n1=210 and n2=210.

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

A:

Q: he cost of laptops is normally distributed with a mean of $750 and a standard deviation of $60. What…

A: GivenMean(μ)=750standard deviation(σ)=60

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

A: Solution

Q: Justin got a score of 85 on an GE MMW examination for which the mean is 75. Justin realized that the…

A: Considering the mean score in the specified examination as μ and variance of scores in the…

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: A gym class is taking a fitness test. The gym teacher is recording how many sit-ups the participants…

A:

Q: Jim and Pat are both taking Calculus. Jim scored 92 on a test in his class. The average on the test…

A: To find: Who actually did better? Include the Z-scores as part of the answer.

Q: Mr. Green examines the Unit 1 Biology test scores in his class. The test scores are normally…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: distribution of the height of a tomato plant is normal with population mean of 50 inches. The 80th…

A: Provided data is, distribution of the height of a tomato plant is normal with population mean of 50…

Q: In some reports, the mean and coefficient of variation are given. For instance, one report gives the…

A: given data  cv = 1.9% μ = 3.2σ = ?

Q: Jone works for a Italian dramatic agency whose workers had an average income this past year of…

A:

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

A:

Q: SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a…

A: The SAT scores, mean, and standard deviation are:The ACT scores, mean, and standard deviation are:

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

A:

Q: her wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10% will be…

A: given: mean(μ)=78 sd(σ)=8

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: The final exam is worth 200 points with the usual 10% grading scale. Assume that the final exam…

A: Given Information: Mean (u) = 161 points Standard deviation (s) = 22

Q: In a study of Ridge View's boys' basketball team, the average height is 68 inches and standard…

A: Given, mean =μ=68Standard deviation = 4x = 78

Q: The heights of women aged 18 to 24 are approximately normal with a mean of 65 inches and a standard…

A: Given that  X~N(μ= 65 , σ= 2.5 ) μ= 65 , σ= 2.5 Formula for Z-score Z=(X-μ)/σ

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: GivenHighest speed measured (x)=78.4Mean(x)=18.37standard deviation(s)36.54

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: The manager of a department store wants to estimate the average amount of money a customer will…

A:

Q: he mean on an exam is 80 with a standard deviation of 5 points. If Joe scored a 90 on the exam, what…

A: given data, μ=80σ=5x=90 z score for the given data=?

Q: The local pilots association examined records from this year's census of its members. Miguel is a…

A: Given,mean(μ)=3260standard deviation(σ)=865Miguel's flight experiance(X)=3375

Q: he scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation…

A: Given,μ=65σ=6