You are interested in looking at the returns to experience (how much wages go up for each additional year a person works). There are several possible models you can run. Answer the questions related to the following models. Please note these values are not calculated from actual data.

wagei=10+6.2*experiancei+10*health+yXi+Ei

health is an indicator if an individual works in the healthcare industry. It is one if the person works in healthcare and zero if they work in a different industry.

a. How much would you expect your wage to go up by if you had an additional year of experience and worked in the health sector?

b. How much would you expect your wage to go up by if you had an additional year of experience and worked in an industry that was not health related?

c. How much would you expect your wage to go up by if you had an additional four years of experience and worked in the health sector?

d. In the output of the regression STATA indicates the p value for health is 0.03. At a 5% significance level does working in the healthcare industry have an impact on wages?

1) Researchers have found that providing therapy dogs on college campuses near midterms and finals is an effective way to reduce student stress. They wondered if providing other animals would also reduce stress. To find out, they brought four different animals to campus and had students rate their stress level after time spent with the animal. The results are presented below.

a) Specify the null and alternative hypotheses for a chi-square test of independence

B)Fill in the table below with the expected frequencies

c) Use the observed and expected frequencies to calculate a chi-square test of independence to detect any relationship between type of animal and feelings of stress, using alpha = .01. Report the critical value and your decision.

e) Calculate the effect size for the relationship between animal type and stress level.

A random sample of 27 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 44 and 4.5, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table)

a. Construct the 95% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

b. Construct the 99% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

We plan to employ precision munitions. Please note the following features of the planned munitions

These munitions have a range error with mean zero and standard deviation of 25 meters, and the range error is normally distributed. The munitions have a bursting radius of 35 meters.Prior planning data has indicated that if one lands within 35 meters of a friendly person, that person is assumed to become a casualty. If the round lands more than 35 meters away, the person is assumed to be non-injured.Current rules of engagement call for no rounds to be aimed at a point closer than 125 meters from friendly personnel.We plan to fire as many as 150 rounds in support of the mission. Answer below:

1. If you fired 150 rounds, each exactly 125 meters away from a friendly position, what is the chance that no friendlies were injured

Please show your answer and a draw the graphs.

A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. What is the probability that a car picked at random is travelling at more than 100 km/hr?

For a certain type of computers, the length of time bewteen charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. John owns one of these computers and wants to know the probability that the length of time will be between 50 and 70 hours.

Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test. Tom takes the test and scores 585. Will he be admitted to this university?

In class we discussed the disputed election that ended up in the case DeMartini v. Power, 262 NE2d 857. A similar case (Ipolito v. Power 241 NE2d 232) had one candidate receiving 1422 votes and the other 1405 votes. After the election, it was determined that 101 ineligible voters had voted. (a) What is the probability that the outcome of the Ipolito election would change if 101 votes were removed at random? (In this part, leave your answer as a sum involving binomial coefficients.) (b) Write a python 3 program to compute the probability given in the previous part. (c) If you were the appelate court judge, would you rule that the vote should be redone or not? Why?

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 19 tablets. The entire shipment is accepted if at most 2 tablets do not meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 5.0​% rate of​ defects, what is the probability that this whole shipment will be​ accepted? The probability that this whole shipment will be accepted is nothing. ​(Round to three decimal places as​ needed.)

Let X1, X2, X3, X4, X5, and X6 denote the numbers of blue, brown, green, orange, red, and yellow M&M candies, respectively, in a sample of size n. Then these Xi's have a multinomial distribution. Suppose it is claimed that the color proportions are p1 = 0.22, p2 = 0.13, p3 = 0.18, p4 = 0.2, p5 = 0.13, and p6 = 0.14. (a) If n = 12, what is the probability that there are exactly two M&Ms of each color? (Round your answer to four decimal places.) Correct: Your answer is correct. (b) For n = 20, what is the probability that there at most eight orange candies? [Hint: Think of an orange candy as a success and any other color as a failure.] (Round your answer to three decimal places.) (c) In a sample of 20 M&Ms, what is the probability that the number of candies that are blue, green, or orange is at least 8? (Round your answer to three decimal places.)

Liam is a professional darts player who can throw a bullseye 70% of the time.

If he throws a dart 250 times, what is the probability he hits a bulls eye:

a.) At least 185 times?

b.) No more than 180 times?

c.) between 160 and 185 times (including 160 and 185)?

Use the Normal Approximation to the Binomial distribution to answer this question.

2. A recent study has shown that 28% of 18-34 year olds check their Facebook/Instagram feeds before getting out of bed in the morning,

If we sampled a group of 150 18-34 year olds, what is the probability that the number of them who checked their social media before getting out of bed is:

a.) At least 30?

b.) No more than 51?

c.) between 35 and 49 (including 35 and 49)?

Use the Normal Approximation to the Binomial distribution to answer this question.

A random sample of 366 married couples found that 286 had two or more personality preferences in common. In another random sample of 552 married couples, it was found that only 38 had no preferences in common. Let p₁ be the population proportion of all married couples who have two or more personality preferences in common. Let p₂ be the population proportion of all married couples who have no personality preferences in common.

(a) Find a 90% confidence interval for p₁ – p₂. (Use 3 decimal places.)

(b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common?

Because the interval contains both positive and negative numbers, we can not say that a higher proportion of married couples have two or more personality preferences in common.

We can not make any conclusions using this confidence interval.    

Because the interval contains only negative numbers, we can say that a higher proportion of married couples have no personality preferences in common.

Because the interval contains only positive numbers, we can say that a higher proportion of married couples have two or more personality preferences in common.

A random sample of 1000 eligible voters is drawn. Let X = the number who actually voted in the last election. It is known that 60% of all eligible voters did vote. a) Find the approximate probability that 620 people in the sample voted, and b) Find the approximate probability that more than 620 people in the sample voted.

2. A study showed 110 cases of “blue lung disease” among 1,000 instructors who used blue dry erase markers in classes and 90 cases of “blue lung disease” among 1,000 instructors who did not use blue dry erase markers in classes. Test whether instructors who used blue dry erase markers in classes were significantly more likely to develop “blue lung disease” than instructors who did not use blue dry erase markers in classes.

a. State the null and alternative hypotheses associated with the test. b. What is the calculated value of the associated test statistic? c. What is the p-VALUE for the test (please use FOUR decimal places)? d. If α = 0.05, state your decision regarding the null hypothesis by comparing α to the p-VALUE. e. State your conclusion (meaning, describe what the decision means in this problem).

Multiple Linear Regression: Statistics

y = (6.7, 14.15, 62.11, 7.8, 7.9, 8.1)

x1= (1.2, 4.5, 8.7, 3.3, 6.1, 7.2)

x2= (1.11, 7.5, 4.2, 9.1, 7.4, 8.0)

1). Construct 95% confidence and prediction intervals for x0 = (1,20,1).

Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, use the 0.05 level in evaluating Emily’s suspicion

7. The following is the number of passengers per ight in a sample of 34 ights
from Ottawa, Ontario, to Hampton, Washington in 2018.
78 73 75 99 50 58 25 56 57 55 59 55 62 69 77 66 51
21 53 30 51 63 52 57 68 75 66 65 69 79 72 65 53 50

(f) Find the percentage of measurements falling in the intervals xks for k =
1; 2; 3.

(g) How do you compare the percentages obtained in part (f) with those
given by the Empirical Rule? Explain.