Suppose New York City has an average police response time of 8.5 minutes, with a standard deviation of 3 minutes. You select a random sample of 64 calls to dispatch and calculate the response time for each. What's the probability that the mean of their response times is less than 8 minutes? Include a diagram when answering this question.

Q: The number of goals scored by a college soccer team for a given season are 4, 9, 0, 1, 3, 12, 3, 7,…

A: The population mean is, μ=∑xN=4+9+0+1+3+12+3+7+4+5+8+212=5812=4.8333 The population mean is 4.8333.

Q: a successful basketball player has a height of 6 feet 9 inches, or 206 cm. Based on statistics from…

A: Given,           Z -score=4.45           A basket ball player has a height of  6 feet 9…

Q: A population has mean 49 and standard deviation 5. What is the data value that has a z-score of 2?…

A:

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: Determine whether the following is a statistical question. How many acorns do squirrels typically…

A: A statistical question is one that can be answered using statistical tools, either descriptive or…

Q: In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: coin is tossed 4 times. Find the mean, variance, and standard deviation of the number of heads that…

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Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: A successful basketball player has a height of 6 feet 2 ​inches, or 188 cm. Based on statistics from…

A: Given the Z score of height of basket ball player is 1.95. The original height of the basket ball…

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: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

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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: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

Q: A data set has size of 40. How many observations lie within two standard deviations of either sides…

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: Mathematics majors generally have one of the highest starting salaries. Suppose the average starting…

A: For Normal distribution z score = (x-μ)/σx

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

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: Provide an appropriate response. 11) The probability that a tennis set will go to a tiebreaker is…

A: Suppose a random variable x, defines the number of tiebreakers in tennis set.It is given the…

Q: Three randomly chosen Seattle students were asked how many round trips they made to Canada last…

A: Geometric Mean : If there are X1, X2,...., Xn are n observations then the geometric mean is given…

Q: When Lauren runs the 400 meter dash, her finishing times are normally distributed with a mean of 88…

A:

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

A:

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A:

Q: Skye High School has a total of 500 graduates.  The mean SAT score of Skye High School graduates is…

A: Given data,μ=947σ=205P(X≥1000)=?

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: In a population of normally distributed data, the mean is 68 and the standard deviation is 12.75.…

A: given data normal distributionμ = 68σ = 12.75sample size (n) = 25P(70<x¯<75) = ?

Q: A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics…

A:

Q: A population has a mean of 125 and a standard deviation of 16. A sample of 64 observations will be…

A: The known values are, The probability that the sample mean will be between 122.6 and 126.5 is,

Q: A successful basketball player has a height of 6 feet 3 ​inches, or 191 cm. Based on statistics from…

A: Given,a basketball player has a height of 6 feet 3 inchesand the Z-score =2.31

Q: A successful basketball player has a height of 6 feet 4 ​inches, or 193 cm. Based on statistics from…

A:

Q: 500 freshmen at Crescent High School took an algebra test. The scores were distributed normally with…

A: Given information: MEan=75 Standard deviation=7