A population has a mean of 50 and a standard deviation of 19 If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a . Greater than 50. b. less than 52. C. less than 49.

Q: 25. Let X₁,. Xn be a sample from a population with o² = Var(X) < ∞, µ = E(X) and let T = X² be an…

A: Solution: From the given information, X1, X2, …….., Xn be a sample from a population with

Q: 10 Once again, consider the data set consisting of the number of credits taken by the 128 State…

A: Given that: Credits Frequency 10 1 11 0 12 18 13 9 14 22 15 15 16 25 17 10 18…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: The mean and standard deviation are 0 and 1.

Q: How many scores are represented in the blue section of the boxplot? Answer:

A: Introduction A box and whisker plot is a graphical representation of the 5-no. summary of the data.

Q: Suppose you wanted to determine the mean height of 8-year old boys living in the U.S. You select a…

A: It is given that a sample of 100 8-year-old boys mean height in the U.S. We were asked how can a…

Q: A company claims that their new product has an average lifespan of at least 5 years. A sample of 25…

A: given data n = 25x¯ =4.6s = 0.8α = 0.01claim : μ ≥5

Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: We have given that Mean(µ) = 151Standard deviations (σ) = 27X ~ N (µ, σ )= N(151, 27)

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: given data, μ=0σ=1.00 we have to find out the given probabilities.

Q: A random variable X has the cumulative distribution function as below. Calculate the variance of X.…

A: We have to determine variance of x from cdf

Q: A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales…

A: given data sample size (n) = 1500population proportion(p) = 0.55standard deviation of sampling…

Q: In order to cut the margin error in half, what must we do? Group of answer choices Multiply the…

A: The margin of error is inversely proportional to the square root of the sample size. So, if you want…

Q: Suppose you are working with a data set that is normally distributed, with a mean of 250 and a…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Out of 600 people sampled, 480 had kids. Based on this, construct a 95% confidence interval for the…

A: given that , out of 600 people sampled, 480 had kids.

Q: The president of a large company recommends that employees perform, on average, 24 hours of…

A: Answer:- Given, The president of a large company recommends that employees perform, on average, 24…

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A:

Q: K Assume that a randomly selected subject is given a bone density test. Those test scores are…

A: Here the given information is Assume that a randomly selected subject is given a bone density test.…

Q: If there is no significant correlation between the response and explanatory variables, would the…

A:

Q: In a study of government financial aid for college students, it becomes necessary to estimate the…

A: given data E = 0.0195% ci for pn = ?

Q: Consider a population of N = 4 individuals, {42 43 44 45). What is the expected value of the sample…

A: Given: Population size N=4 Population consists of values: 42, 43, 44, 45. Required: To find the…

Q: (a) find k such that f(x) is a PMF for X. (b) find P[X < 2.75]. (c) find the mean and variance of X.…

A:

Q: A study¹ shows that relationship status on Facebook matters to couples. The study included 58…

A: Here the given information is A study¹ shows that relationship status on Facebook matters to…

Q: The time it takes me to wash the dishes on a randomly selected night is uniformly distributed…

A: Given that  X~U(a,b) a=8 , b=17 Pdf of uniform distribution is.  f(x)=1/(b-a)  , a&lt;x&lt;b

Q: According to a 2009 Reader's Digest article, people throw away about 14% of what they buy at the…

A: Given that  Population proportion p=0.14 Sample size n =66

Q: A population of values has a normal distribution with µ = 166.1 and σ = 54. You intend to draw a…

A: It is given that the population from normal distribution has a mean value of 166.1 and a standard…

Q: Suppose the true proportion of voters in the county who support a restaurant tax is 0.57. Consider…

A: The information provided in the question are as follows : Population proportion (p) = 0.57 And…

Q: State whether the data described below are discrete or continuous, and explain why. The numbers of…

A: Answer:- Given statement is,  The numbers of fingers that different people have. Discrete &amp;…

Q: Use what you know about order statistics to show that for the random sample of size n = 3 the median…

A:

Q: A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011.…

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

Q: The mean of a population of raw scores is 28 (Sx = 9). Your X̅= 34 (with N=35). Using the .05…

A: Suppose μ is the population mean.

Q: In 2016 the Better Business Bureau settled 75% of complaints they received in the United States.…

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

Q: We want to use a z-test to determine if the sample mean is greater than 20 at the alpha = 0.05. What…

A: given data z test claim : μ&gt;20α = 0.05critial value = ?

Q: 4. On average, the number of pumpkin spiced lattes ordered at a local coffee shop during the month…

A: 4. The average number of pumpkin spiced lattes ordered at a local coffee shop during the month of…

Q: You wish to test if the mean difference of post-test from pre-test is less than 0 (they did wors…

A: According to the given information in this question We need to answer all the parts

Q: Crude M-H combined 2.256993 2.279816 Test of homogeneity (M-H) 1.870088 2.723988 2.742356 1.895291…

A: From the given summary table: Crude OR = 2.256993 (1.870088, 2.723988) M-H OR = 2.279816 (1.895291,…

Q: Fill in the blank in the following statement. If the population of state A is 25% less than the…

A: If the population of state A is 25% less than the population of state B,

Q: In a study of government financial aid for college students, it becomes necessary to estimate the…

A: given data E = 0.0195% ci for pwe have to find n = ?

Q: e president of Doerman Distributors, Inc., believes that 28% of the firm's orders come from…

A: given data, p=0.28n=100we have to find out the given probabilities

Q: If Z~N(0,1), then what is the probability that Z is between 2.60 and 2.83? You may use Excel. Enter…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: You were asked to help with analysis of birth weights (BW) of 10,000 infants born in NYC during a…

A: Here given that  we have to perform the analysis of the birth weights (BW) of 10,000 infants born in…

Q: Susan has been on a bowling team for 14 years. After examining all of her scores over that period of…

A: We are given information, Let, X=scores over that period of time The random variable X follows a…

Q: does the range and standard deviation remain unchanged because the addition of 7 is a constant so…

A: given data  mean = 74 median = 76.5 range = 65 standard deviation = 11 add 7 points to each score…

Q: Consider the following data set: [115, 85, 56, 112, 109, 68, 108, 139, 92, 143, 69, 145] Determine…

A: Answer:- Given data in ascending order, 56 , 68 , 69 , 85 , 92 , 108 , 109 , 112 , 115 , 139 , 143 ,…

Q: Let X represent the difference between the number of heads and the number of tails when a coin is…

A: Given that: Total number of times a coin tossed, n=36 To find: Probability of getting the difference…

Q: Wallace asked 30 participants to report on their political affiliation by marking "1" for liberal,…

A: Given that 30 participants  For liberal 1  For conservative 2  For not interested in poltics at all…

Q: Suppose that 65% of all dialysis patients will survive for at least 5 years. In a simple random…

A: given data p(survive atleast five year) =p  = 0.65sample size (n) = 100P(p^&gt;0.80) =?

Q: WHAT ARE THE Probability of Picking at most 3 hoads in 10 tosses of a coin Me total trials M₂ P =…

A: When toss a coin then probability of getting head  p = 1/2 = 0.5 q = 1 - p = 1 - 0.5 = 0.5 Number of…

Q: c) With reference to the table above, specify the coefficient of determination and interpret it. d)…

A: Given that  Dependent variable is protein S And independent variable is protein C.

Q: you introduce I and J. Where do they come from? "I" I can understand, but not "J"

A: We can use different indexes to express the distinct values of a random variable.

Q: - 6. Show that if E|X₁|' < ∞, j ≥ 2, then E|X₁ − µ|¹ ≤ 2¹ E|X₁|³. Hint: By the iterated expectation…

A: We need to prove that: EX1—µj&lt;2j×E(Xi)j. Given: E|X1|j &lt;∞, j≥2,

Q: K Assume that a randomly selected subject is given a bone density test. Those test scores are…

A: According to the given information in this question We need to find the following probability