Consider throwing a die 20 times. Let X be the number of times th outcome is less than 3. Find the mean X and the variance o. (a) 2.22 and 0.33 (b) 4.44 and 6.67 (c) 0.33 and 2.22 (d) 6.67 and 4.44
Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130
A: Let X be the random variable such that the height of maple trees at age of 5. As given X~ N(μ,σ)…
Q: 3.Why are t statistics more variable than z-scores? The extra variability is caused by variations in…
A:
Q: A researcher has conducted a Levene's Test for Homogeneity of Variances. The results of the Levene's…
A: It was stated that the results of Levene's test are: Upper critical value : F(2,96)=1.85 The…
Q: A flood-control system is designed such that the probability of the system capacity being exceeded X…
A: Given information: The table below shows the probability that in 30 years, the system capacity will…
Q: Suppose X has finite variance. Let Y = |X|. Does Y have the same, a smaller, or a larger variance…
A: Given that X has finite variance i.e. var(x)<∞ Let Y =|X| that means Y can take 2 values i.e. X…
Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…
A: It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds. Sample…
Q: 1. If the random variable X from a distribution with mean 50 and variance 10 and y = 0.8x + 15. Find…
A: It is an important part of statistics. It is widely used.
Q: Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…
A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8
Q: and second components meet specifications are 0.96 and 0.89, respectively. Let X be the number of…
A: The random variable X defines the number of components in the assembly that meet specification.
Q: Letx represent the average annual salary of college and university professors (in thousands of…
A: It is given that Sample size n = 13 Sample variance s2 = 84.2 Level of significance = 5% Note :…
Q: A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters…
A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…
Q: (b) The number of red balls in a sample of 8 balls chosen at random from a box contains 30 balls of…
A: We have to find the mean and variance of Hypergeometric distribution.
Q: THE FF. WERE THE RESULTS OF THE EXAMINATION CONDUCTED FOR GRADUATING STUDENTS. FIND THE VARIANCE…
A: Data given CI frequency 11-20 2 21-30 7 31-40 3 41-50 8 51-60 10 61-70 12 71-80…
Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…
A: L
Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…
A: CorX,Y=0.75VX=VY=36W=2X+3Y
Q: Let x represent the average annual salary of college and university professors (in thousands of…
A: State the hypotheses
Q: Problem 5: Suppose that 70% of men and 30% of women in a state support the incumbent candidate of…
A: Number of men workers = 70% Number of women workers = 30% 500 people are surveyed at random
Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…
A: Given that, P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…
Q: An analysis of variances produces dfnetween= 3 and dfwithin = 24. If each treatment has the same…
A: Given that,dfbetween = 3dfwithin = 24Each treatment has the same number of participants.
Q: Jessica hypothesizes that giraffes will look longer at human infants than at adults. In her zoo, she…
A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…
Q: What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.71x = 1 and…
A: We are given the following probability distribution:xi0123P(X = xi)0.710.170.010.11To find the…
Q: A track coach creates a new training program to improve his team’s performance in the 200m race. He…
A: State the hypotheses.
Q: O A. Ho: o? = 0 O B. Ho: o? so3 Hgi o} >o? OC. Ho: o? +o? Hại o? = o3 O D. Hoi o z0 Hgi of F. O B. -…
A:
Q: table below shows a sample of waiting umes (in heart transplant two age groups. At a- that the…
A: Given data, 18-34 35-49 156 211 172 194 166 209 170 210 163 196 210 200…
Q: Suppose Bob rolls a fair die 100 times and X = number of 1's he gets. What is the variance of X?
A: Given: n = 100 P( obtaining a 1 on die) = 1/6 = p X = number of 1's obtained
Q: If the maximum 1.3, п %3D 150, аnd %3D Zo.005 = 2.575, then find the variance variance 6.2. О %3D…
A: Given,n=150Z0.005=2.575maximum=1.3
Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…
A: The variance of the sample can be calculated as:
Q: O With a one-unit increase in fresh food, satisfaction will increase by .523. O Fresh food…
A: The dependent variable is satisfaction.The independent variable is Fresh food.The equation of…
Q: As the n and number of samples you take increases, so does the mean none of the above accuracy…
A: Statistics is the branch of applied Mathematics in which we do collection, analysis, interpretation…
Q: Participants in a psychology program have normally distributed IQ scores, with a mean of 104 and a…
A: We want to find IQ score
Q: You are running an Analysis of Variance to test if there is a difference in hourly rates of three…
A: Given: Cashiers Servers Cooks 14 9 14.25 10.75 10.25 14 12.75 9.25 12 9.5 12.25 12.5…
Q: st 15 years have shown that the average rainfall in a certain region of the country, for the month…
A: Given:n1=15n2=15x bar1=1.20x bar 2=1.35s1=0.45s2=0.54 The assumptions is of the normal populations…
Q: The following is the summary of a sample data collected on n=10 students on x= # of hours spent…
A: We have to calculate MSE for regression of y on x
Q: The salaries of physicians in a certain speciality are approximately normally distributed. 25% of…
A: Suppose the random variable X defines the salary of a randomly selected physician.It is given that,…
Q: The net weight in pounds of a packaged chemical herbicide is uniform for 49.68 <x< 50.24 pounds. (a)…
A:
Q: Let A1, A2, A3, and A4 = the weight of dumbells at lifetime. Suppose they are independent normal…
A: GIVEN DATA μ1 = 8.2μ2 = 6.6μ3 = 3.5μ4 = 8.1 σ12 = σ22 =σ32 =σ42 = 1 P(1A1 + 2A2 + 1A3. + 3A4 ≤…
Q: Why n-1 is used in the denominator for the variance for a normally distributed continuous RV
A:
Q: If the maximит — 1.3, п %3D 150, and Z0.005 2.575, then find the variance %3D variance = 6.2.…
A: Givenmaximum=1.3n=150z0.005=2.575
Q: Find the P value for the following example. A data set {Xi} contains 100 house prices in Boston…
A: P-value = 0.0000
Q: Th aim of a study is to test the ratio of variances in the weight of two groups of rats being under…
A: A confidence interval is an statistical concept that refers to an interval that has the property…
Step by step
Solved in 2 steps
- A company has found that its profits Y are related to its sales X by the formula Y = 0.2X + 100. If next year’s sales have a Normal distribution with a mean of 7,500 and a variance of 160,000. What is the distribution of next year's profit?A national freight delivery service is considering introducing a same-day delivery service at no extra cost. It randomly selected customers in its business areas and recorded the customer satisfaction scores. The score range is between 1-100, where 100 is the highest customer satisfaction. Define X1 as the satisfaction score with ordinary deliveries and X2 as the satisfaction score for the same customers with same day deliveries. Some summary statistics are given as The sample mean of X1 is The sample variance of X1 is The sample mean of X2 is The sample variance of X2 is The sample covariance between X1 and X2 is The sample size is 44.20 142.75 53.86 103.39 81.43 56 If you were to carry out a test to investigate whether outsourcing may improve customer satisfaction, what would your sample size be?Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately ?2 = 47.1. However, a random sample of 18 colleges and universities in Kansas showed that x has a sample variance s2 = 86.1. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1. Find a 95% confidence interval for the population variance. (a) What is the level of significance?State the null and alternate hypotheses. Ho: ?2 = 47.1; H1: ?2 < 47.1Ho: ?2 = 47.1; H1: ?2 > 47.1 Ho: ?2 = 47.1; H1: ?2 ≠ 47.1Ho: ?2 < 47.1; H1: ?2 = 47.1 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)What are the degrees of freedom?What assumptions are you making about the original distribution? We assume a uniform population distribution.We…
- A variance function Var(Y IX = x) tells us: about the variability of Y at different values of X. O the extent to which Y and X are correlated. whether the mean function is linear or curved. O if a data point is an outlier.An analysis of variance produces SSbetween = 40, SSwithin = 60, and an F-ratio with df = 2, 15. For this analysis, what is the F-ratio?Suppose X = number of direct injuries occurring in a fire incident. Its PMF is given by x 0 1 2 3 4 5 6 7 f(x) 0.08 0.08 0.09 0.14 0.18 0.18 0.16 0.09 0.06 Determine the mean and variance of the number of direct injuries occurring in a fire incident. 8 0.06
- Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately ?2 = 47.1. However, a random sample of 18 colleges and universities in Kansas showed that x has a sample variance s2 = 86.1. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1. Find a 95% confidence interval for the population variance. ased on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value > ?, we fail to reject the null hypothesis.Since the P-value > ?, we reject the null hypothesis. Since the P-value ≤ ?, we reject the null hypothesis.Since the P-value ≤ ?, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, there is insufficient…What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.19x = 1 and P(X = x) = 0.27x = 2 and P(X = x) = 0.21x = 3 and P(X = x) = 0.33Let x be a random variable that represents the pH of CVS brand water. The mean of this x distribution is u = 6.5 pH. A new company wants to sell its water at CVS locations. However, CVS management believes that the new brand will have a mean pH different from the CVS brand water. A random sample of 70 water samples were taken from this new company's water and it was found that the sample mean was 7.2 pH and the sample standard deviation was s = 2.5 pH. Do the data indicate that the new company's water has a mean pH level greater than 6.5, which is the pH of the CVS brand water? Use a 5% significance level. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypothesis H1 for the problem. 2. Identify and test statistic, the p-value and the calculator key used. Test Statistic (t): (Round to three decimal places) = p - value: (Round to four places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject…
- Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.3, P(B) = 0.3, and P(C) = 0.4. (a) Among the next 210 customers, what are the mean and variance of the number who pay with a debit card? E(X) = V(X) = Explain your reasoning. This answer has not been graded yet. (b) Answer part (a) for the number among the 210 who don't pay with cash. E(X) = V(X) =A correlation of +.20 means that [blank] of the variance in the outcome variable is accounted for by the predictor variable.need asap
