Sixteen percent of the world's population is left-handed. A researcher claims that left-handed individuals are more creative than those who aren't left-handed. In order to support his claim, he takes a sample of 2100 artists and finds that 14% of them are left-handed. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of left-handed individuals in a random sample of 2100.   (b)Find the standard deviation of p.   (c)Compute an approximation for P≤p0.14, which is the probability that there will be 14% or fewer left-handed people in a random sample of 2100. Round your answer to four decimal places.

Q: For a list of positive numbers, is it possible for the standard deviation to be greater than the…

A: Mean: The mean defines that the center or average of the data and it is calculated by the sum of the…

Q: f the height of Grade 6 pupils is normally distributed with a mean of 64 in. And a standard…

A: The z-score is calculated asz=x-μσ

Q: For a sample with M= 80, a score of X= 88 corresponds to z =2. what is the sample standard deviation…

A:

Q: In a population of scores, X = 83 corresponds to z = 0.50 and X = 93 corresponds to z = +2.00. What…

A: We have to find mean and sd.

Q: In a sample of n=6 scores, five of the scores are each one point above the mean. Where is the sixth…

A:

Q: For any population, the sum of the deviation scores will be always equal to zero. true or false

A: Sum of deviation is given as: ∑i=1n(xi-a) Where, a=any arbitrary constant.

Q: In a sample distribution, X=56 corresponds to z=1.00, and X=47 corresponds to z=-0.50. Find the mean…

A: Given,  X=56 corresponds to z=1.00 X=47 corresponds to z=-0.50 wktz=x-μσX=zσ +μ

Q: An analysis of a data set (N = 16) has revealed that its standard deviation (SD) of 2. Then, what is…

A: GivenN=16standard deviation(SD)=2

Q: Do ESL students score lower in English college placement tests than the national average? A…

A:

Q: For a sample with mean M=80,  a score of X=88 corresponds to z=2. What is the standard deviation?

A:

Q: For example with m= 80, a score of x = 88 corresponds to z = 2.00.  What is the sample standard…

A: GivenMean(M)=80x=88z-score(z)=2.00

Q: A sample of n=7 scores has a mean of M=9. If one new person with a score of X=1 is added to the…

A: Sample of n = 7 scores has a mean of M = 9. We know that, Mean =Sum of observationsTotal number of…

Q: in a sample of n=6 five of the scores are above the mean by one point. where is the sixth score…

A: Let x be the mean, y be the sixth score and 5 scores are one point above the mean is 5(x+1).

Q: Which of the following z scores are above the mean? Choose all that apply.     0     1.35…

A: For normal distribution, the mean is equal to 0

Q: Suppose that X has an exponential distribution with a mean of 35. What is P(X<7) ?

A: Given that, The provided mean is β = 35

Q: Ten percent of the world's population is left-handed. A researcher claims that left-handed…

A:

Q: If sp2 = 7.37, n1 = 6 and n2 = 6, what is the estimated standard error of the mean difference,…

A: Denote μ1, μ2 as the means of 1st population) and 2nd population, respectively.

Q: After surveying 625 potential voters polled, you find out that 325 support candidate X and 300…

A: Given information: A total sample of 625 potential voters. 325 out of 625 support candidate X. 300…

Q: If you have a 99% confidence that a population proportion is in the interval from a to b, what does…

A:

Q: If Quiz A has a mean of 7.6 and a standard deviation of 2.0 and Quiz B has a mean of 7.9 and a…

A:

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

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

A: It is given that a sample of 1,000 adults from a population is randomly selected and the population…

Q: For a random sample of 9 women, the average resting pulse rate is x-bar = 76 beats per minute, and…

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: A sample of n = 5 scores has Σ X = 20 and Σ X2 = 180. For this sample, what is the value of the…

A:

Q: ith a mean of 110 and standard dev. of 15, find the 3 unique deviations to the left and right of the…

A: Deviations to the left   i) One standard deviation away from mean x = u - s x = 110 - 15 = 95   ii)…

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

A:

Q: For sample with a mean M = 76, a score of X = 72 corresponds to a z score = -0.50. The sample…

A: Given: Sample mean (M) = 76 Raw score (X) = 72 Sample standard deviation (s) = 8 Formula:

Q: For a random sample of 10 men, the mean head circumference is x-bar= 57.3 cm and the sample standard…

A:

Q: A population has a standard deviation of σ = 24. a.  On average, how much difference should exist…

A: Given : A population standard deviation : σ=24. The average distance of sample mean from population…

Q: Each man in a random sample of n = 16 men between 30 and 39 years old is asked to do as many sit-ups…

A: We have given that,  Sample mean (x̄) = 24.2, standard deviation    (s) = 8 and sample size (n) = 16…

Q: On a nationwide math test, the mean was 58 and the standard deviation was 4. If Roberto scored 70,…

A:

Q: For a sample of n = 20 scores, X = 25 corresponds to z = -1.20 and X = 40 corresponds to z = +1.80.…

A:

Q: A sample of n=11 scores has a mean of M=9. If one new person with a score of X=4 is added to the…

A: Given that, A sample of n=11 scores has a mean of M=9. One new person with a score of X=4 is added…

Q: Alex wants to find out: if the standard deviation of the mean for the sampling distribution of…

A: Solution: given standard deviations of sample s1=9. fir sample size n1=256  Then what will be the…

Q: a sample of n=300 male college freshmen has a mean weight of 160 with a standard devation of 11. how…

A: It is given that the weight of freshmen follows normal distribution with mean of 160 and standard…

Q: Which of the following samples would have the largest standard error of the mean

A:

Q: In a study where scientists wanted to compare two different techniques for measuring the amount of k…

A: From the given information, the claim of the problem is the true average difference between the…

Q: Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The…

A: Given information- For SAT scores- Population Mean µ = 1100 Standard deviation (σ) = 250 For ACT…

Q: If the mean is 8.35, and the standard deviation is 2.5, what will be the answer to this? How many…

A:

Q: In a population with m=60, a score of X=58 corresponds to a z-score of z=-0.50. What is the…

A:

Q: In most cases, if you have the variance, how do you compute standard deviation?

A: We have the variance, how do you compute standard deviation.  We use here the formula of variance to…

Q: Suppose you have already calculated the mean, the average deviation, and the standard deviation of…

A: (a) Condition for Average Deviation: If the value of the observation is increased or decreased by a…

Q: The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be…

A: Given: Population proportion (p) = 4% = 0.04 Number of loans that will be made (n) = 2400

Q: In a sample distribution, a score of x = 21 corresponds to z = -1.00 and a score of x = 12…

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 random sample of 10 men, the mean head circumferences are x-bar = 57.3 cm, and the sample…

A: Given data:   The given sample size is n=10. The given mean head circumference is x=57.3 cm. The…

Q: The mean of 7 consecutive integers is 10. What is the standard deviation?

A:

Q: A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20. On average, how…

A: From the provided information, it is known that

Q: "An electrical firm manufactures light bulbs that have a length of life that is approximately…

A: Mean(µ) = 858 Standard deviations (σ) = 54 Sample size (n) = 50 X ~ N (µ, σ )= N ( 858, 54) x̅~ N…