a) What is the probability that a randomly chosen mouse has a mass of less than 20.04 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.54 grams? c) What proportion of mice have a mass between 20.16 and 20.42 grams?

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A:

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A: Mean u = 20.5 Standard deviation o = 5.4 The test scores of four students random are 13, 23, 7, and…

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A: X            0    5     10  15 P(x)     0.2 0.3 0.25 0.25

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A: When the sample size is quite big, the normal approximation is utilized. A normal random variable…

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A: a. A pair of dice are rolled.

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A: The mean value or the avg. value is the measure of central tendency.

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A: a... Prove that  P(A∩B)≥P(A)+P(B)-1 b... P(A)=3/4  P(B)=1/3 1/12≤P(A∩B)≤1/3

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A: n=42, d¯=830, sd=1128

Q: Q. 2) Find the prob. of getting a total of 11: a) once b) twice, in two tosses of a pair dice? "

A: Q.2   A pair of fair dice is rolled then the sample space S:     {(1, 1), (1, 2), (1, 3), (1, 4),…

Q: If one card is drawn from a well shuffled deck of 52 cards, What is the probability of getting a…

A: Answer: From the given data, Total number of cards in a deck = 52 Number of jokers in a deck = 2

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

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A: We have given paired data for yields from two different types of seed (regular and kiln-dried) as…

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A: Answer: From the given data, X~Poisson distribution, λ = 25 X = 29

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A: The IQ scores are Medium lead level High lead level 72 n2=11 x2=91.088 s2=10.092 97 92…

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A: The CI shows the range of values in which the pop. parameter value lie with certain confidence.

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A: Male consumer Sample size, n1=40 Sample mean, x¯1=132.67 Population sd, σ1=45   Female consumer…

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A: USA Today reported that about 47% of the general consumer population in the United States is loyal…

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A: Answer: From the given data, 3,6,7,9,2,18,15,12,6,11 Sample size(n) = 10

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A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

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A: The given test is two-tailed and the significance level is 0.02.

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A: We have given data  1.42,1.74,1.68,1.58,1.62,1.76,1.30,1.56,1.50,1.52 From the given data we make…

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A: Population mean μ=15, standard deviations σ=2

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A: The data is as follows: Sample 1  Sample 2 n1=400 n2=300 p¯1=0.56 p¯2=0.41 zα2=1.96

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A: The given hypothesis is H0:μ1-μ2=0 versus Ha:μ1-μ2≠0.

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A: Here, we have given the pdf and the expectation value. Then we have to find the value of a and b.

Q: Find the indicated area under the standard normal curve. Between z = - 2.23 and z = 2.23

A: z=-2.23 z=2.23

Q: a tax collector, finding himself short of funds, delayed depositing a large property tax payment ten…

A: The situation can be modeled using the hypergeometric distribution, which describes the probability…

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A:

Q: 12. A French study was conducted in the 1990s to compare the effectiveness of using an instrument…

A: n1=754, x1=37n2=746, x2=15

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A: given that p =0.40 n= 100

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A: According to the given information in this question We need to find test statistic and p value

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A:

Q: 3. In a survey of 2241 adults in a recent year, 650 say they made a New Year's resolution to eat…

A: Sample size n =2241 Favorable cases x =650 Sample proportion p^=x/n  =650/2241 =0.2900490852 =0.2900

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A: In statistics, a variable is any characteristic that can take on different values. For example, age,…

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A: In a time graph, also known as a time series graph, the x-axis usually represents time and the y-…

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A: From the provided information, Sample size (n) = 500 Sample mean (x̄) = 1985 Sample standard…

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A: Answer: From the given data, 92% confidence interval, degrees of freedom (df) = 28

Q: Find the width of each interval by subtracting the lower proportion from the upper​ proportion, and…

A: First we will calculate 95% confidence interval We have given thatn = 2029x = 645p̂ = x/n = 645/2029…

Q: The height of students are normally distributed with mean 156 cm and standard deviation 22 cm for a…

A: Answer: From the given data, mean (μ) = 156 Standard deviation(σ) = 22 Sample size(n) = 44

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A: Obtain the probability that the salesperson will make four or more sales if six sales calls are made…