For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
In a survey of 1000 large corporations, 252 said that, given a choice between a job candidate who smokes and an equally qualified nonsmoker, the nonsmoker would get the job.

(a) Let p represent the proportion of all corporations preferring a nonsmoking candidate. Find a point estimate for p. (Round your answer to four decimal places.)
(b) Find a 0.95 confidence interval for p. (Round your answers to three decimal places.)

What is the margin of error based on a 95% confidence interval? (Round your answer to three decimal places.)

A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 50 cables and apply weights to each of them until they break. The 50 cables have a mean breaking weight of 774.6 lb. The standard deviation of the breaking weight for the sample is 15.1 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cable. Your answer should be to 2 decimal places.

1) In MANCOVA, Independent variables, Dependent variables and covariate must each confirm to a specific level of measurement. List the correct level of measurement for each of the variable listed Independent variables, Dependent variables and covariate

2) Differentiate between a Total Effect, Direct Effect and Indirect Effect within the decomposition of effects approach for determining statistical mediation

3) Describe the similarities and differences between simple mediation and moderation atleast four points

4) When and why would one choose to interpret pillai's Trace multivariate test statistics over wilks Lambda?

5) What is bootstrapping and why is it used in statistical analyses involving mediation?

6) How does MANOVA differe from ANOVA. When would you select to run a MANOVA over an ANOVA and why would MANOVA be advantageous in such situations.

7) Define a coavriate. How do you choose a covariate?

In 1912 the luxury liner Titanic on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. Think of the Titanic disaster as an experiment in how the people of that time behaved when faced with death in a situation where only some can escape. The passengers are a sample from the population of their peers. Here is a table showing who survived the sinking of the Titanic based on whether they were crew members, or passengers booked in first-, second-, or third-class staterooms:

. Calculate the survival rates (the number who survived divided by the number in the group) for each of the four groups. b. (1 mark) Write null and alternative hypotheses to assess whether group and survival are related. c. Is there strong evidence that the survival rates are not all the same? If not, what differences seem important?

In two consecutive years, 1000 adults in the magical community were asked if they believed that Voldemort had returned. The first year, 43% believed that he had returned and in the second year, 47% believed that he had returned.

1) Explain why it would be inappropriate to conclude, based on these percentages alone, that the percentage of adults who believed that Voldemort had returned increased from the first year to the second year.

2) Assume that the conditions have been satisfied. Construct a 95% confidence interval for the difference in the proportions of adults who believed that Voldemort had returned.

3) Based on the confidence interval, can we conclude that the proportion of adults with this belief increased from the first year to the second year? Explain.

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 20 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

A travel website would like to estimate the difference between the average rental price of a car with automatic transmission versus the average rental price of a car with manual transmission at a certain airport. The table below shows the average​ one-week rental prices for two random​ samples, as well as the population standard deviations and sample sizes for each type of car. Complete parts a and b.

a. Construct a

9595​%

confidence interval to estimate the difference in the average cost of a​ one-week rental between these two types of cars at the airport.

Let the cars with automatic transmissions be population 1 and the cars with manual transmissions be population 2.

The confidence interval is

left parenthesis $ nothing comma $ nothing right parenthesis$,$.

​(Round to the nearest cent as​ needed.)

a) On the throw of a fair die, the expected value of the number showing is 3.5 and the standard deviation is 1.71. What is the expected value and standard deviation of the sum of the values from the throw of a pair of dice

b) Suppose Y₁ and Y₂ are independent, Var(Y₁) = Var(Y₂) = σ_y² and Z₁ = Y₁+Y₂ .What is Var(Z₁)? How does this compare to the result found in part a)?

c) Generalize the previous results. Suppose Y₁, Y₂, · · · , Y_n are independent, Var(Y₁) = Var(Y₂) = · · · = Var(Y_n) = σ²_y and Z₂ = Y₁ + Y₂ + · · · + Y_n. What is Var(Z₂)?

d) Again, let’s keep generalizing these results. Suppose Y₁, Y₂, · · · , Y_n are independent, Var(Y₁) = Var(Y₂) = · · · = Var(Y_n) = σ²_y and Z₃ = 1/n (Y₁ + Y₂ + · · · + Y_n). What is Var(Z₃)?

6.200 Autism and Maternal Antidepressant Use A recent study53 compared 298 children with Autism Spectrum Disorder to 1507 randomly selected control children without the disorder. Of the children with autism, 20 of the mothers had used antidepressant drugs during the year before pregnancy or the first trimester of pregnancy. Of the control children, 50 of the mothers had used the drugs.

1. (a) Is there a significant association between prenatal exposure to antidepressant medicine and the risk of autism? Test whether the results are significant at the 5% level.

2. (b) Can we conclude that prenatal exposure to antidepressant medicine increases the risk of autism in the child? Why or why not?

3. (c) The article describing the study contains the sentence ‘‘No increase in risk was found for mothers with a history of mental health treatment in the absence of prenatal exposure to selective serotonin reuptake inhibitors [antide- pressants].” Why did the researchers conduct this extra analysis?

Thank you!

Can you explain step by step for me? "Dumb it down"? I need a lot of help with this question. Thank you so much!

This is the sample set. The s ample mean is 100 and the SD is 10 and the s ample size is 400.

Construct the 95% confidence interval?

You may need to use the appropriate appendix table or technology to answer this question.

A simple random sample with

n = 59

provided a sample mean of 26.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.)

(a)

Develop a 90% confidence interval for the population mean.

(b)

Develop a 95% confidence interval for the population mean.

(c)

Develop a 99% confidence interval for the population mean.

2. [EXCEL] Karl Duncker’s results on his ‘Candle Problem’ were published posthumously in 1945. Participants were asked to mount a candle on a wall in an upright position so that it would burn normally. One group of participants was given a candle, a book of matches, and a box full of tacks. A different, independent group of participants were given the same items, except that the box and the tacks were presented separately. The solution is to use the tacks to nail the box to the wall, put the candle in the box and use the matches to light it. Functional fixedness is the idea that people in the first group will take longer to solve the problem, because they will have difficulty seeing a function for the box as a shelf different from its current use as a container. For each participant, the amount of time to solve the problem in seconds was recorded. We want to test whether there is sufficient evidence that the first group took longer to solve the problem. Data similar to Duncker’s is given in the “Question 2” tab in the file “DataAssignment4.xlsx”.

(a) Define the parameter to be tested. (b) State the null and alternative hypothesese you would use. (c) Use Excel to find the sample size, mean, and standard deviation of each sample. (d) Would you use a pooled or unpooled test? Why? (e) Get the output table from Excel for the hypothesis test. (f) Add a row under your output clearly stating the observed value of your test statistic and your p-value. Write a sentence explaining whether there is sufficient evidence at the α = 0.01 significance level that participants who were given a box of tacks took longer to solve the problem.

Use the accompanying data set to complete the following actions.

a. Find the quartiles.

b. Find the interquartile range.

c. Identify any outliers.

61 64 63 58 59 58 64 63 60 55 64 59 56 57 7961  64  63  58  59  58  64  63  60  55  64  59  56  57  79

a. Find the quartiles.

The first​ quartile, Q1 is ?

The second​ quartile, Q 2 is?

The third​ quartile, Q 3 is?

Seneca and Artie are lab partners in science class. Today they have to weigh liquid. They have a try of 80 weights that they can use. There are four different kinds of weights: 50 grams, 25 grams, 15 grams, and 5 grams. The first liquid weights 85 grams. How many different combinations of weights will balance the scale for the first liquid ?

A survey of several 10 to 12 year olds recorded the following amounts spent on a trip to the mall: $14.73,$18.13,$11.20,$14.89,$18.78,$21.08,$17.26 Construct the 99% confidence interval for the average amount spent by 10 to 12 year olds on a trip to the mall. Assume the population is approximately normal.

Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to two decimal places.