Suppose that the final exam scores of all students in a large math class are normally  distributed with a mean of 130 points and a s.d. of 22 points.  (a) Find the probability that a r/s student’s score is above 160 points. (b) Find the 90th percentile of these students’ scores.

Q: Hugo scores an average of 28 points per basketball game, and his points per basketball game are…

A: From the provided information, Average (µ) = 28 points Score (x) = 14 points z-score = -2

Q: About 77​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: The probability that the sample proportion surviving for at least 3 years will be less than 72​% is,

Q: 2. We are given that the average height for women in America is 64 inches tall with a standard…

A: We have given that the random variable X i.e. height of the women. The Mean μ = 64 inches, standard…

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: The known values are, μ=142,σ=13,n=49 The mean and standard deviation of sampling distribution of…

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A:

Q: A statistician has analysed the duration of audience laughter after a stand up comedian's jokes. The…

A:

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A:

Q: uppose you know that the distribution of sample proportions of fifth grade students in a large…

A: Given that  Sample size n =100 Mean=0.30 Standard deviation =0.08

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: From the given information,   Mean = 520 Standard deviation = 180 Sample size = 35   The objective…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

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: For a standardized psychology examination intended for psychology majors, the historical data show…

A:

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: Mean=M=500, Standard deviation=170, Sample size=n=40

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: Given: Mean μ = 500 Standard deviation σ = 170 Sample size n = 40 Sample mean X = 526 Formula used:…

Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…

A: Given Population mean = 36miles Population standard deviation =5

Q: Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75…

A:

Q: Time spent on a computer is gamma distributed with a = 4 and B = 7. I. What is the probability that…

A: Given that: The time spent on a computer is gamma distributed with α=4 and β=7

Q: The lengths of pregnancies are normally distributed with a mean of 280 days and a standard deviation…

A: The lengths of pregnancies are normally distributed with a mean of 280 days and a standard deviation…

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: From the provided information, Mean (µ) = 500 Standard deviation (σ) = 170 X~N (500, 170) Here X be…

Q: Suppose a batch of steel rods produced at a steel plant have a mean length of 178 millimeters, and a…

A: From the provided information,Mean (µ) = 178Standard deviation (σ) = 12Sample size (n) = 76

Q: The level of pesticides found in the blubber of whales is a measure of pollution of the oceans by…

A: Given: μ = 340 ng/g σ = 50 ng/g n = 8

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A:

Q: Let X be the number of successes in a fixed number of repeated trials and let p be the probability…

A: Let X be the number of successes in a fixed number of repeated trials and let p be the probability…

Q: Find the probability that the mean height of the sample is greater than 58 inches.

A: Assume that the height of adult females in the United States is approximately normally distributed…

Q: Guiz. 17 pis possi About 75% of all female heart transplant patients will survive for at least 3…

A:

Q: (c) Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of…

A: c. Given information, IQ scores are normally distributed with mean of 100 and a standard deviation…

Q: The weights of steers in a herd are distributed normally. The variance is 90,000 and the mean steer…

A: Let X be the weights of steers in a herd are distributed normally. And σ2=90,000 and μ=1400 lbs i.e.…

Q: ading pr e probab r interme

A: The information provided in the question are as follows :- Population mean (μ)=500 Population…

Q: For a standardized psychology examination intended for psychology majors, the historical data snow…

A: As the sample size is higher than 30, the distribution can be assumed as normal (as per the central…

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: Given that  Mean = 515  Standard deviation = 170 Sample size = 35

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

A:

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A:

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…

Q: Assume that IQ scores are normally distributed, with a standard deviation of 18 points and a mean of…

A:

Q: I need to find the indicated probability for a Mean of 24, an SD of 4.2. P(x > 30)

A: Given info: Here, mean is µ=24 and standard deviation is σ=4.2.

Q: A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.…

A: Note: As it is not logical that “the probability that x falls within + or -2 milligrams per…

Q: He found that the table stated his probability as 0.1131. Determine whether Alex made an error in…

A: Let X be the random variable that Alex's home run hitting distance.Given that,

Q: ortion of firms will earn a return between 4% and 8%? B   To the nearest percent find the…

A: given: mean (μ)= 7.5 standard deviation(σ)=2.5

Q: Jessica knows that the average profit of manufacturing plants nationwide each year is $100,000 with…

A: Given information: μ=100,000σ=16,000n=35

Q: About 73% of all female heart transplant patients will survive for at least 3 years. Sixty female…

A: The objective of this question is to find the probability that the sample proportion of female heart…

Q: A waitress keeps track of the tips she earns and knows that her mean tip is 15% with a standard…

A: We have been given that a waitress keeps a track of the tips that she earns and knows that her mean…

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: μ = 505σ = 170n= 40P(x¯≥528) = ?      here n>30, as per CLT sampling distribution will be normal.…

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A:

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: Given n=40 Standard deviations=175 Mean=500 X-bar=526