A companion who works in a major city claims two vehicles, one little and one huge. 3/4 of the time he drives the little vehicle to work, and one-fourth of the time he takes the huge vehicle. On the off chance that he takes the little vehicle, he typically experiences little difficulty leaving as is grinding away on schedule with likelihood 0.8. In the event that he takes the enormous vehicle, he is on schedule to work with likelihood 0.5. Given that he was grinding away on schedule on a specific morning, what is the likelihood that he drove the huge vehicle? (Offer the response to three decimal spots.)

A container around your work area contains fifteen dark, seven red, ten yellow, and fourgreen jellybeans. You pick a jellybean without looking.

=21=

Discover the likelihood that it is red or yellow.

Compose the likelihood as a decreased division.

Compose the likelihood as a percent, adjusted to the closest 1%.

%

The mean load of a fire subterranean insect specialist is 3.11 mg with a standard deviation of 0.49 mg. Allow us to expect that the heaviness of any fire insect is autonomous from the heaviness of some other fire insect. An ordinary fire subterranean insect province contains 240,000 fire subterranean insect laborers. Assume we take a gander at the heaviness of every insect in a normal fire insect settlement. Leave M alone the arbitrary variable addressing the mean load of all the specialist insects in the province in mg. Let T = the irregular variable addressing the amount of the loads of all the laborer subterranean insects in the province in mg.

On the off chance that TK is T estimated in grams (utilize 1g = 1000mg.), what is the standard deviation of TK?

What is the surmised likelihood that T is more prominent than 747000?

What is the standard deviation of M?

What is the rough likelihood M is somewhere in the range of 3.111 and 3.112?

What is the rough likelihood that T is inside 2 standard deviations of its normal worth?

In? roulette, the numbers from 1 to 36 are equally disseminated among red and dark. A player who bets? $1 on dark wins? $1 (and gets the? $1 bet? back) if the ball stops on? dark; otherwise? (if the ball lands on? red, 0, or? 00), the? $1 bet is lost. One choice in a roulette game is to bet$ 3on red. In the event that the ball lands on? red, you will keep the $ 3you paid to play the? game, and you are awarded$4.If the ball lands? somewhere else, you are awarded? nothing, and the$ 3 that you bet is gathered. What is the normal estimation of the? game?

Use a Kolmogorov Smirnov (KS) Test in order to determine if the following data set comes from an Exponential distribution with mean equal to five Data 0.433577647 1.077296386 1.461024528 2.037106422 3.671167985 3.724253017 3.815970293 3.905489821 6.842680422 6.933953839 Can we reject the hypothesis that the data come from an exponential distribution with a mean equal to five? Select one: O True O False. Problem 5 Consider the following hypothesis for a Wilcoxon signed rank test. Ho : m = 6 versus Hi : m / 6 where m is the mean of the underlying population. a) Determine the p-value of the Wilcoxon signed rank test using the data: F1 = 15, 12 = 7, 23 - 3, 14 - 10, as = 13. Show all your calculations clearly. b) Use the Wilcoxon test in R to generate the p-value and compare with the result obtained in part (a).An experiment was performed to investigate the effectiveness of three insulating materials. Three samples of each material were tested at an elevated voltage level to accelerate the time to failure, and it was already known that batches of raw material have some effects on the failure time. As a result, a randomized complete block design (RCBD) was considered, and the failure times (in minutes) after randomization is shown below. Block Material 1 2 3 143 141 150 05 NO P 152 149 137 134 136 132 (a) Construct a randomized complete block design, i.e. determine the orders of the runs. (b) Construct the ANOVA table. Do all three materials have the same effect on mean failure time at the 5% significance level? (c) Suppose that all three blocks were also randomly selected. Is there any strong evidence of a difference between batches?B. 1. C. 1/19. D. Cannot be determined; need more information (such as n). list: 9. (20 points) For each of the scenarios below, identify the most appropriate analysis from the following 1. Completely randomized design with one factor of fixed effects; 2. Completely randomized design with one factor of random effects; 3. Completely randomized design with two factors of interest; 4. Randomized complete block design for one factor of interest; 5. Latin square design; 6. Completely randomized design within each block; 7. Completely randomized design with covariates. (a) (4 points) A study compares two drugs and the placebo in patients with major depressive disorder. Patients were randomly assigned to one of these three treatments. (b) (4 points) A study looks at how the salary of accountants is related to experience (in years), ac- counts in charge of, and gender (female vs male). (c) (4 points) An industrial psychologist working for a large corporation designs a study to evaluate the effect of background music on the typing efficiency of secretaries. The psychologist selects a random sample of seven secretaries from the secretarial pool. Each subject is exposed to three types of background music and their typing performance is measured. (d) (4 points) Researchers wanted to investigate how the amount spent on homes purchased in Seattle varied by whether it was a condo or house, and whether it was sold in the spring, summer, fall, or winter. They randomly selected 100 of the homes sold in the last 2 years and recorded the season and type of the home. (e) (4 points) A researcher is interested in comparing children from 3 different school districts with respect to their math skills. She samples children from each of the districts, obtains their age and gives each of them a standardized math exam. 10. (5 points) In a study published in Sprinthall (1990), a researcher is interested in whether or not a significant trend exists regarding the popularity of certain work shifts among police officers. A random sample of 60 police officers is selected from a large metropolitan police force. The officers are asked to indicate which of three work shifts they preferred. The results show that 40 officers prefer the first shift, 10 prefer the second shirt, and 10 prefer the third shift. Do the results deviate significantly from Page 5