An insurance company wants to monitor the quality of its procedures for handling loss claims from its auto insurance policyholders. Each month the company selects an SRS from all auto insurance claims filed that month to examine them for accuracy and promptness.
What kind of study was this?
A) Matched pairs experiment.
B)Double blind experiment.
C) Observational Study.
D) Randomized comparative experiment.
*Please Explain*
In: Math
A sample of 11 circuits from a large normal population has a mean resistance of 2.20 ohms. We know from past testing that the population standard deviation is 0.35 ohms.
1. Determine a 95% confidence interval for the true mean resistance of the population.
2. In part 1 above, do you need any assumptions, if yes what, if no why.
In: Math
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 20.2 mg and a standard deviation of 3.81 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes.
What are the hypotheses?
A. H0: μ>21.1 mg
H1: μ<21.1 mg
B.H0: μ=21.1 mg
H1: μ<21.1 mg
C.H0: μ<21.1 mg
H1: μ ≥ 21.1 mg
D. H0: μ =21.1 mg
H1: μ ≥ 21.1mg
Identify the test statistic.
t = _________
Identify the P-value.
The P-value is ___________
State the final conclusion that addresses the original claim. Choose the correct answer below.
A. Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
B. Reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
C. Reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
D.Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
What do the results suggest, if anything, about the effectiveness of the filters?
A.The results suggest that the filters are effective.
B.The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes.
C.The results do not suggest that the filters are effective.
D.The results suggest that the filters increase the tar content.
E.The results are inconclusive because the sample size is less than 30.
In: Math
015824 A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 89 sample problems. The new algorithm completes the sample problems with a mean time of 17.64 hours. The current algorithm completes the sample problems with a mean time of 17.75 hours. Assume the population standard deviation for the new algorithm is 4.561 hours, while the current algorithm has a population standard deviation of 4.210 hours. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let μ1 be the true mean completion time for the new algorithm and μ2 be the true mean completion time for the current algorithm. Step 1 of 5: State the null and alternative hypotheses for the test.
In: Math
Compare the coding techniques used in quantitative versus qualitative research
In: Math
Please conduct an independent-sample t-test, α = .05.
Two persons are arguing about the size of different breeds of dogs. One believes that German Shepherds are larger than Huskies, while the other person believes the opposite is true. So they conducted a study to see which one of them is correct by randomly sampling and weighting 10 dogs of each breed they saw on a Sunday afternoon in their community. This is an independent-sample case. The data are as follows:
German Shepherds: 55, 72, 61, 43, 59, 70, 67, 49, 55, 63
Huskies: 48, 77, 46, 51, 60, 44, 53, 61, 52, 41
In: Math
Sky Kitchens is the second largest airline caterer in the United States, providing nearly all the meals for passengers of three major airlines and several smaller commuter airlines. As part of a total quality management (TQM) program, its largest airline client, Continental Airlines, has recently met with representatives of Sky Kitchens to discuss a customer satisfaction program that it is planning to implement. Continental plans to interview a sample of its customers four times a year. In the survey, it intends to ask customers to rate the quality of meals provided on a 1–10 scale, where 1 means poor and 10 means excellent. It has just completed a benchmark study of 1,000 customers. In that study, meals received an average rating of 8.7 on the 10-point scale, with a standard deviation of 1.65. Continental has indicated that it wants Sky Kitchens to guarantee a level of satisfaction of 8.5 in the first quarterly survey, to be conducted in three months. For its quarterly surveys, Continental plans to use a sample size of 500. In the new contract with Sky Kitchens, Continental wants to include a clause that will penalize Sky Kitchens $50,000 for each one-tenth of a point it falls below an average of 8.5 on the next survey’s satisfaction scale.
1. What is the 99.74% confidence interval (CI) for the true satisfaction level based on the benchmark survey?
2. What is the 99% confidence interval (CI) for the true satisfaction level based on the benchmark survey?
3. What is the 95.44% CI for the true satisfaction level based on the benchmark survey?
4. What is the 95% CI for the true satisfaction level based on the benchmark survey?
5. As Sky Kitchens, what do you think of Continental’s requirement for a level of satisfaction of 8.5 in the first quarter survey?
6. Assume that the upcoming 1st -quarter satisfaction survey shows anaverage rating of 8.4 on satisfaction with meals. Assume that the population standard deviation is1.65. Compute the 99% CI for the true satisfaction level based on the 1st-quarter survey. As Sky Kitchens, what is the best way to present and interpret the resulting CI?
7. If you were negotiating for Sky Kitchens, how would you respond to Continental regarding the penalty clause? Is there a better or more reasonable way to revise it
In: Math
Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say we use the 52 cards to randomly distribute 13 cards each among two players (2 players receive 13 card each).
a. How many ways are there to pass out 13 cards to each of the two players?
b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?
In: Math
The Sorry State Lottery requires you to select five different numbers from 0 through 63. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.)
What is the probability of being a Big Winner?
What is the probability of being a Small-Fry Winner?
What is the probability that you are either a Big Winner or a Small-Fry Winner?
In: Math
Contracts for two construction jobs are randomly assigned to one or more of three firms A, B, and C. Let Y1 denote the number of contracts assigned to firm A and Y2 the number of contracts assigned to firm B. Recall that each firm can receive 0, 1 or 2 contracts.
(a) Find the joint probability function for Y1 and Y2.
(b) Find the marginal probability of Y1 and Y2.
(c) Are Y1 and Y2 independent? Why?
(d) Find E(Y1 − Y2).
(e) Find Cov(Y1, Y2)
In: Math
Exercise 5a: What is the recommend number of classes for 1.5, 2.2, 3.4,3.4,3.4 ,4.5, 5.1?
Exercise 5b: What is a good class width?
Exercise 5c: Give the frequency distribution.
Exercise 5d. Make a list of the lower limits of all classes
Exercise 5e: Make two columns in Excel, one with all observations (1.5,2.2,...) and one with the lower limits. Delete the lowest number in the lower limit column. This is your bin column
.Exercise 5f: In the Excel Data Toolpak, choose histogram. Enter the numbers and the bins. Show the chart in your homework
Exercise 5g: Compare with the manual chart
In: Math
A food safety guideline is that the mercury in fish should be below
1
part per million (ppm). Listed below are the amounts of
mercury
(ppm) found in tuna sushi sampled at different stores in a major
city.
Construct a 99% confidence interval estimate of the mean amount
of
mercury in the population. Does it appear that there is too
much
mercury in tuna sushi?
0.56 0.70 0.10 0.98 1.37 0.53 0.83
A.What is the confidence interval estimate of the population mean mu?
B.Does it appear that there is too much mercury in
tuna sushi?
In: Math
A diagnostic test either provides a + result (has the disease) or - result (does not have the disease). 5% of the population has the disease. For a patient with the disease, 75% will test (+)/ 25% will test (-). For a patient that does not have the disease, 15 % will test (+)/ 85% will test (-).
Part A) If everyone in the population is tested, what proportion of the test results will be positive?
Part B) For a patient who gets a Positive result, what is the probability of having the disease?
In: Math
A frequency distribution has a mean of 200 and a standard deviation of 20. The class limits for one class are 220 up to 240. What is the area associated with the class? Select one: a. -2.0 and -1.0 b. 1.0 and 2.0 c. 0.8185 d. 0.4772 e. 0.1359
In: Math
The following sample data are from a normal population: 10, 9, 12, 14, 13, 11, 7, 4.
a. What is the point estimate of the population mean?
b. What is the point estimate of the population standard deviation (to 2 decimals)?
c. With 95% confidence, what is the margin of error for the estimation of the population mean (to 1 decimal)?
d. What is the 95%
confidence interval for the population mean (to 1 decimal)?
( , )
In: Math