Find the following probabilities for the given random variables: a) X Normal(8, 16); P(X> 11.5) b) X Normal (100, 25); P(96 < X < 108) c) X~ Normal(-10, 5); P(X < -14.6)

Q: Consider the following hypothesis test: Ho : μ 2 45 Ha: μ < 45 A sample of 36 is used. Identify the…

A: From the provided information, The hypotheses for this test can be constructed as: H0: µ ≥ 45 Ha: µ…

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: Find the indicated critical z value. Find the critical value Za/2 that corresponds to a 93%…

A: Confidence level = 93%

Q: A researcher wishes to estimate, with 90% confidence, the population proportion of adults who eat…

A: Confidence interval = 90%  proportion = 0.5 Margin of error = 5% = 5/100 = 0.05

Q: Use technology to find a confidence interval for the population standard deviation o. Assume that…

A: Solution-: Given data: xi:15.2,15.1,15.9,15.5,15.6,15.1,15.8,15.0 We want to find a 98% C.I. for the…

Q: a) Write an introduction: • Explain the problem in general (e.g., vitamin D deficiency and…

A: Vitamin D is an important nutrient that is essential for healthy bones and teeth, as well as a…

Q: Consider the data set of aerobic fitness measurements given in DS 12.2.3. Compute the analysis of…

A: we want to find the coefficient of determination for that we construct a regression model

Q: Value of X Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in…

A:

Q: ) Find the value of k (give your answer as a reduced fraction) 1 24 x You may find it helpful to…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: If X is exponentially distributed with a mean of 3, can you find a uniform distribution U[a,b] with…

A: Given that,  X~ exp(3) where, mean= 3 and standard deviation = 3

Q: Standard Deviation: A measure of the dispersion of a set of data from its mean. These are the steps…

A: Given temperature :  N=8 { 32,36,29,34,31,33,27,34 }  First we will calculate mean than we will…

Q: A random sample X is normally distributed with mean 36 and standard deviation 12, Find the…

A: Answer: From the given data, mean (μ) = 36 standard deviation(σ) =12 X follows normal distribution,

Q: ƒ (x) = ½ x; 2 < x < 4

A: f(x)=1/6x; 2&lt;x≤4

Q: Is the average time to complete an obstacle course shorter when a patch is placed over the right eye…

A: Treatment 1 : (Right) N1 = 8  df1 = N-1 = 8-1 = 7 { 41,50,45,45,49,50,49,42 }  M1 = (41+..42)/8 =…

Q: Find the indicated z-scores shown in the graph

A: The area under curve or probability is 0.4678+0.4678=0.9356

Q: Using the same question:    Find and interpret the probability that between 9 and 12 between of​…

A:

Q: (a) Explain, in context, what a correlation coefficient of -0.25 means.

A: Here dependent variable = weight in gms of the female. Independent variable = weight in gms of the…

Q: Consider two independent binomial experiments. In the first one, 91 trials had 58 successes.In the…

A: Two independent binomial experiments. In the first one, 91 trials had 58 successes. In the second…

Q: A random sample X is normally distributed with mean 33 and standard deviation 10 Find the…

A: Answer: From the given data, Mean(μ) = 33 Standard deviation(σ) = 10 X~Normal distribution(33,10)

Q: In a study of employees at a large corporation, researchers found that workers who regularly worked…

A: In a study of employees at a large corporation, researchers found that workers who regularly worked…

Q: You wish to test the following claim at a significance level of a=0.001. H0:P=0.64…

A: According to the given information in this question We need to find the conclusion of the test

Q: Find the expected value for the following probability distribution: X 5 10 15 20…

A: Answer: From the given data, X     : 5     10   15   20 P(X) : 0.3  0.1  0.4  0.2

Q: Why don't we use multiple t-tests when working with data like the PLANTS data instead of an ANOVA?

A: ANOVA is used to test multiple means.

Q: According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS…

A:

Q: (a) How many possibilities are there to give 30 identical cookies to 4 kids? (b) How many…

A: To distribute 30 identical cookies among 4 kids, we can use the stars and bars method.   We can…

Q: Find the critical t value that corresponds to 92% confidence, Assume 28 degrees of freedom…

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

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34…

A: Answer: From the given data, The mean daily production of a herd of cows is assumed to be normally…

Q: A coffee shop manager want to visualize the shape of daily sales of coffee (# of cups) in the past…

A: A coffee shop manager wants to visualize the shape of daily sales of coffee (# of cups) in the past…

Q: regression analysis in accounting is in the estimation of cost. By collecting data on volume and…

A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

Q: Consider the random variable X which has the pdf k(1-x) 10 fx(x) = for 0<x< 1; otherwise. (a) Find…

A: As per the Bartelby guidelines only three sub-parts can be answered. Kindly resubmit the question…

Q: typical amount of this distribution? Please explain. c. Approximately what percentage of winners in…

A: a. The distribution of speeds appears to be roughly symmetric, with a peak around 36 mph. The center…

Q: A random sample X is normally distributed with mean 49 and standard deviation 8 Find the…

A: Mean=49 Standard deviation=8

Q: (a) From lectures we know (b) Let n Σ(-)² ~ x²(v). What is the value of ? i=1 = n 1 120 1 i=1 n-…

A:

Q: The output in H24619 could be produced using this function: ADD O COUNT PIVOT SUM B с RPT PERIOD…

A: Excel is a powerful tool that is used for analyzing the data.

Q: A teacher claims that over 13% of maths students are married, in the survey at the beginning of…

A: Answer: From the given data, Population proportion (p) = 13% =0.13 Sample size(n) = 55 X = 13

Q: A binomial probability experiment is conducted with the given parameters. Compute the probability of…

A: The binomial probability formula is given by:   P(x) = nCx * Px * (1 - P)(n - x)   where: n is the…

Q: The degrees of freedom for chi square test of a contingency table with 7 rows and 4 columns.

A: Answer: From the given data, number of rows in chi square test of contingency table (r) = 7 number…

Q: 1. You are the wage earner in a "typical family" with a $58,000 gross annual income. Use the easy…

A: You are the wage earner in a "typical family" with a $58,000 gross annual income. Use the easy…

Q: Suppose that X denotes the time it takes for Emily to run 50 meters on a random day. X is normally…

A: Let X denotes the random variable with mean 18 second and standard deviation 2.8 second   X follows…

Q: 4) A student advisor believes that undergraduate student's grades earned in a given semester (as…

A: This problem is about testing the hypothesis that undergraduate student's grades earned in a given…

Q: Find the range for the given data, Mean= 14, minimum=20,median=29 and maximum 42

A: Answer: From the given data, mean = 14 minimum value = 20 median = 29 maximum value = 42

Q: The error involved in making a certain measurement is a continuous rv with ca 0 Pas-fi F(x) = = 1 +…

A: According to the Bartleby guidelines expert solve only one question and maximum three subpart and…

Q: Researchers are testing whether a new treatment significantly changes the happiness of a group as…

A: The given data is measure of happiness for both groups after a month of receiving treatment.

Q: You are testing th should you interp O O There is suffic than $25,200 O There is not s more than $2…

A: Null and alternative hypotheses: The hypothesis, which is pre assumed as true, tentatively settled…

Q: The 90% confidence interval is(_,_) The 95% confidence interval is (_,_)

A: It is given that the sample mean is 82.25 and the population standard deviation is 14.03.

Q: Small-business telephone users were surveyed 6 months after access to carriers other than Carrier A…

A: We want to test whether the proportion of Carrier A users attempting to learn more about their…

Q: Using standard normal table or excel function find the given probability, P(-0.15<Z<0.19)

A: Answer: From the given data, P(-0.15&lt;Z&lt;0.19) is,

Q: The mean daily production of herd of cows is assumed to be normally distributed with a mean of 36…

A: Answer: From the given data, mean (μ) = 36 standard deviation(σ) = 16 X follows normal distribution,

Q: Calculate the mean and standard deviation for the binomial distribution P=0.67,n=8

A: Answer: From the given data, p = 0.67 and q = 1 - p = 1 - 0.67 = 0.33 Sample size(n) = 8

Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?