A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50 nonprofits, the mean one-time gift donation in the past year was $29, with a standard deviation of $7. Complete parts a and b below.

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A: The random variable monthly income of a family follows normal distribution. We have to write the…

Q: Recent Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested…

A: Given  X~N( μ =24.8 , ? = 6.2 ) μ = 24.8 , ? = 6.2 Note: According to bartleby experts question…

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A: Given, The points of final exam follows normal distribution with mean 73 and standard deviation 8.…

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Q: The trunk diameter, in centimeters,  of a certain variety of pine tree is represented by X~N(150,…

A: Let X denote the trunk diameter in centimetres of a certain variety of pine tree and it follows…

Q: Twenty-nine percent of adult Internet users have purchased products or services online. For a random…

A: It is given that 29% of the users purchase online. Therefore, probability of a randomly selected…

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A: We have to find mean and sd.

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

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: A survey of 1000 men ages 20 to 30 found that their heights were normally distributed, with a mean…

A: Solution: Let X be the height of men ages 20 to 30. From the given information, X follows normal…

Q: Statewide, the average score on the verbal test portion of the college exam is 453, with a standard…

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Q: The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17.…

A: GivenMean(μ)=120standard deviation(σ)=17

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A: Given information: The distribution of family income is positively skewed. The median family income…

Q: A quart of Parker's milk contains a mean of 39 grams of butterfat, with a standard deviation of 2…

A: Mean = 39 Standard deviation = 2

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A: Let, X= resistance Given that X follows a normal distribution with mean=50 and standard deviation=4…

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A: Obtain the Z-score for the random variable that X equals 70. The Z-score for the random variable…

Q: If 10 were added to each of the values in a data set that originally had a standard deviation of 6,…

A:

Q: The height of adult men in the United States is normally distributed with a mean of 70 inches and a…

A: Z = -0.67 Mu = 70 S = 3

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A:

Q: A college professor noted that the grades of his students in an introductory statistics class were…

A: Given,mean(μ)=28.50standard deviation(σ)=9

Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd    σ=10P(X<44)=?

Q: n the first quarter of 2019, the average home loan for first time buyers was R950, 000. Assuming a…

A: Given : In the first quarter of 2019, the average home loan for first time buyers was R950, 000…

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A: In a bell shaped distribution, 68% items falls within one standard deviation of mean, 95% items…

Q: A midterm exam has a mean of 76.0 and a standard deviation of 8.0. If any student with a z-score of…

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Q: Given that the variance for a data set 1.20, what is the standard deviation?

A: The standard deviation is calculated by taking the square root of variance. Variance is given as…

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A: The following information is provided. Sample size, sample mean and sample standard deviation.…

Q: The iPhone battery capacity is normally distributed with a mean of 4 years and a standard deviation…

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

Q: In an exam for a statistics class, the class average is 68 with a standard deviation 4. If a student…

A: Given mean μ= 68, standard deviation σ= 4 Let X: score of the students = 75

Q: On a standardized exam, the scores are normally distributed with a mean of 650 and a standard…

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Q: A data set of home sales prices in an area has an average selling price of $350,000 with a standard…

A: The z score for x = 390000 is calculated as:

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A:

Q: A senior high student commutes daily from home to school. The average time for a one way trip is 20…

A: Given that, μ=20 minutesσ=4 minutes The no.of minutes is the starting point of the longest 10% of…

Q: Given a scenario where n=100 and p=0.8, find the standard deviation.

A: In this case the sample size is n = 100 and p = 0.8.

Q: Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival…

A: From the provided information, Mean (µ) = 2 hours and 2 minutes or 122 minutes Standard deviation…

Q: On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a…

A: Given that.   X~N( μ , ?^2 )   μ=77     , ?=16.8   Z-score =( x - μ )/?

Q: The distribution of the annual incomes of a group of middle management employees approximated a…

A: In question, The distribution of annual income of middle management employees approximated normal…

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A:

Q: On a construction site, the amount of dirt scooped by a forklift machine is normally distributed…

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Q: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of…

A: Mean(µ) = 88Standard deviations (σ) = 10 X ~ N (µ, σ )= N(88, 10)

Q: If the mean score on a math quiz is 12.6 and 38.2​% of the students in your class scored between…

A: Mean = 12.6 area between 11.1 and 14.1 is 38.2%

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135…

A: We want to tell you which one is the correct choice.

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

A: Solution

Q: Suppose annual salaries for sales associates from Hayley's Heirlooms have a bell-shaped distribution…

A: It is given that the annual salaries are distributed bell shaped (approximately normal) with mean of…

Q: A health study reported​ that, in one​ country, systolic blood pressure readings have a mean of 122…

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Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

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Q: The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution, with a…

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

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Q: The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a…

A: Given;  x be the annual income of certified welders are normally distributed with mean =$50000and…

Q: The IQ scores of a large group of students are approximately normally distributed with a mean of 100…

A:

Q: The three data sets have the same mean and range, but is the variation the same? Prove your answer…

A: For all the parts, it is given that, x=5+7+9+11+13+15+177=777=11