Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 9. The teacher wishes to give A's to the top 5% of the students and F's to the bottom 5%. The next 15% in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for receiving an A grade. (You may need to use the standard normal distribution table. Round your answer to the nearest whole number.)

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: Here, µ=261 and σ = 17.

Q: A statistics teacher believes that the final exam grades for her business statistics class have a…

A: Given Normal distribution with  Mean =82   SD =8 We have to answer for mentioned questions

Q: Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean of…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Solution: Let X be the length of pregnancies in a small rural village From the given information, X…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A: Given information- Population mean, µ = 262 days Standard deviation, σ = 17 days Significance level,…

Q: If in a data set the observation 78 has z-score equal -0.60 and the observation 88 has z- score…

A:

Q: If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z score for a…

A: We want to Z-score

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A: Givenmean(μ)=268standard deviation(σ)=13

Q: Suppose that 35%  of all adults in a population would say “good”  and 65% would say “bad”  if they…

A: As per the question35% population say good65% population say badMean of the ample proportion who say…

Q: a. A student whose grade is 83 would be at the 19th percentile. b. A student whose grade is 90 would…

A: According to our guidelines, we can answer only three subparts, so please repost the rest parts.

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: Let X denote the length of pregnancies in a small rural village. According to the given information.…

Q: The scores on the 2020 ACT were approximately normal, with a population mean of μ = 22, and a…

A:

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 71…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose the people living in a city have a mean score of 35 and a standard deviation of 10 on a…

A: Heh there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

Q: Suppose that the scores on a statewide standardized test have a bell shape distribution with a mean…

A: Given that Mean = 79,s.d=6 (b) P(X>97 )=? (c) P(X<73) =? (d)P(61<x<85) =?

Q: Solve the problem  27.) If the life, in months, of a certain type of car battery is normally…

A: Solution: It is given that the life of a certain type of car battery is normally distributed with a…

Q: A student learns that on his most recent exam in psychology, the sample mean was 72.19 with a…

A:

Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Given that, X: height of the 4-year old boy Mean : μ=103 cmStandard deviation σ =4.05 cm

Q: Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D

A: Given that the mean value is 76 and the standard deviation is 7. Grades are assigned such that the…

Q: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a…

A:

Q: Suppose you know that the distribution of sample proportions of nonresidents in samples of 200…

A: Let p^ denotes the sample proportion which follows normal distribution with mean 0.46 and standard…

Q: 1)Suppose that a town has total 10,000 6th grade students and average weight of them is found to be…

A:

Q: 2. Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean…

A: Given that, Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If…

Q: We would expect about 68% of the seniors to score between ______ and _______.

A: Let , X→N(μ=460 , σ=76) Our aim is to find the bout 68% of the seniors to score between ______ and…

Q: Suppose the mathematics SAT scores are normally distributed with a mean of 500 and a standard…

A:

Q: In a course where the mean final exam grade is 68 with a standard deviation of 6.5, the grading…

A: Consider X be a random variable which follows normal distribution indicating the final exam grade…

Q: Suppose you compared 2 independent samples. The first sample contained 10 people, had a mean score…

A: Given that,mean(x)=37.6standard deviation , s.d1=1.5number(n1)=10mean(y)=34.2standard deviation,…

Q: Suppose that for a random sample , the mean is 4 and the coefficient of variation is 87.5 % then the…

A:

Q: 21 year old men rates at rest are normally distributed with a mean of 70 beats per minute, and a…

A: Given that   21 year old men rates at rest are normally distributed Mean (μ)=70 beats per minute…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 71…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Given Information Mean µ = 260 Standard deviation(σ) = 14

Q: Morgan earned a score of 275 on Exam A that had a mean of 300 and a standard deviation of 25. She is…

A:

Q: Suppose that people height (in centimeters) are normally distributed, with a mean of 170 and a…

A:

Q: Suppose the mathematics SAT scores are normally distributed with a mean of 500 and a standard…

A: Given that  X~Normal(μ =500 , ? =100) X=SAT score  Z-score=(X-μ)/?

Q: The scores on the final exam in a statistics course are close to being normally distributed. The…

A: Normal distribution: It is a continuous probability distribution, that is bell-shaped with lighter…

Q: At American Widgets in 2020, across salespeople the average annual sales was $500,000, with a…

A: Given :The average annual sales was $500,000 Standard deviation is $100,000year-to-year correlation…

Q: Assume that the SAT test scores are normally distributed with a mean score of 1200 and a…

A:

Q: Suppose that water usages in American showers are normally distributed, with an average shower using…

A: Given Information: μ=20 and σ=3.2 (b) To estimate the percentage of showers that used more than 26.4…

Q: The data was collected on the time spent for preparation of exams by a class of statistics students…

A: Given Maximum time of study = 47 Minimum time of study = 1 Data is roughly symmetric

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A: The mean is 263 and the standard deviation is 14 days.

Q: Suppose you are working with a data set that is normally distributed with a mean of 400 and a…

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

Q: According to a Human Resources report, a worker in the industrial countries spends on average 419…

A: Solution

Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 270 days and a…

A:

Q: If the probability of a defective bolt is 0.1, find he mean he standard deviation for the…

A: a) If the probability of a defective bolt is 0.1. Given that there are total of 400. That is, n=400…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 65…

A: Given information- Mean, μ = 65 Standard deviation, σ = 4 a) The percentage of scores that were…

Q: Suppose that water usages in American showers are normally distributed, with an average shower using…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 70…

A: Let , X denotes  scores on a statewide standardized test .  Therefore , X - > N (mean = 70 , sd =…

Q: Suppose scores on an IQ test are normally distributed, with a population mean of 100. Suppose 20…

A:

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 69…

A: Let X denote the scores on a statewide standardized test and it follows normal distribution with…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 68…

A: As per our guideline we are supposed to answer only  3 sub-parts of any question