Suppose you are a researcher investigating the annual sales differences among five categories of businesses. The study looks at 55 companies equally divided among categories A, B, C, D, and E. Complete the following ANOVA table and determine the value of the F statistic. Could you help me find the p value and T? Treatment SS=583.39 and the total is 1555.57. The question Is on Chegg already but nobody has answered for the P and T values.

You roll a six-faced dice and observe the number of dots on the top face.

(a) Specify the appropriate sample space S of the random experiment.

(b) Give an example of a partition of S. (Proof is unnecessary.)

(c) Give an example of a probability mass function (pmf) for S.

Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 48.2 ppm and a standard deviation of 7 ppm. The Environmental Protection Agency takes a random sample of 40 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 48.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated.

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Use the normal distribution to approximate the desired probability. A certain question on a test is answered correctly by 24.0 percent of the respondents. Estimate the probability that among the next 166 responses there will be at most 43 correct answers.

SELECT ALL APPLICABLE CHOICES

A) 74.56870%

B) 74.30203%

C) 75.20203%

D) 74.95203%

E) 74.70203%

F) None of the above

1. In the last few years, many research studies have shown that the purported benefits of hormone replacement therapy (HRT) do not exist, and in fact, that hormone replacement therapy actually increases the risk of several serious diseases. A four-year experiment involving 4400 women was conducted at 38 medical centres. Half of the women took placebos and half took a prescription drug, a widely prescribed type of hormone replacement therapy. There were x₁ = 49 cases of dementia in the hormone group and x₂ = 26 in the placebo group. Is there sufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug? Test at the 1% level of significance. (Round your answers to two decimal places.)

Test statistics=

Rejection region= z >

2. Independent random samples of n₁ = 200 and n₂ = 200 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 116successes, and sample 2 had 122 successes.

Calculate the standard error of the difference in the two sample proportions, (p̂₁ − p̂₂). Make sure to use the pooled estimate for the common value of p. (Round your answer to four decimal places.)

z=

p-value=

z < =

z > =

An advertiser who is planning a radio campaign is interested in the number of minutes of music played per hour by five local radio stations. A sample of 5 hours is taken from each station. Complete the following analysis, using the information given, and using a 0.05 level of significance. For full marks your answer should be accurate to at least two decimal places. Sample means FM 92 FM 97 FM 101 FM 104 FM 107 50.6 51.4 44.6 48.8 51.6 a) Complete the following ANOVA table: b) Calculate the critical value: c) Is there a difference in the treatment means? Yes, because the test statistic is greater than the critical value Yes, because the test statistic is less than the critical value No, because the test statistic is greater than the critical value No, because the test statistic is less than the critical value

In a random sample of six microwave​ ovens, the mean repair cost was ​$70.00 and the standard deviation was ​$12.00. Assume the variable is normally distributed and use a​ t-distribution to construct a 99​% confidence interval for the population mean u. What is the margin of error of u​?

The 99​% confidence interval for the population mean u is (_, _ ) ​(Round to two decimal places as​ needed.)

The margin of error is ___. ​(Round to two decimal places as​ needed.)

1. A simple random sample of size n equals 350 individuals who are currently employed is asked if they work at home at least once per week. Of the 350 employed individuals​ surveyed, 32 responded that they did work at home at least once per week. Construct a​ 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.

QUESTION- what is the lower and upper bound

2. A simple random sample of size n=21 is drawn from a population that is normally distributed. The sample mean is found to be x "overbar" = 51 and the sample standard deviation is found to be equals=10. Construct a 95​% confidence interval about the population mean.

QUESTION- what is the lower and upper bound

3. A simple random sample of size n= 40 is drawn from a population. The sample mean is found to be x "overbar" equals 120.4 and the sample standard deviation is found to be s= 12.8. Construct a​ 99% confidence interval for the population mean.

QUESTION- what is the lower and upper bound

The following table lists the game stats of a certain team M (e.g., Men’s Basketball) on a game-by-game basis:

Points Scored:

51 76 55 55 71 59 61 64 64 63 71 56 56 53 61 77

58 76 74 79 79 60 61 68 61 79 79 70 59 74 58 66

Points Allowed:

81 79 50 82 46 64 78 80 61 79 86 56 50 55 61 58

87 47 72 52 83 52 68 90 61 47 54 63 60 55 88 76

a) Find how many times team M won their game against their rivals.

b) Find how many times team M won by a margin of 10 points.

c) Calculate the season average of Points Scored by team M.

d) Identify the games won by team M in the season.

Solve in Matlab please.

The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and $23.82 for the U.S. Assume that in all three countries, the standard deviation of hourly labor rates is $3.00.

Appendix A Statistical Tables

a. Suppose 37 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and $31.00?

b. Suppose 36 manufacturing workers are selected randomly from across Japan. What is the probability that the sample average will exceed $21.00?

c. Suppose 47 manufacturing workers are selected randomly from across the United States. What is the probability that the sample average will be less than $22.95?

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

1. We want to test that the true proportion of American's that recycle is greater than 40%. What type of test should we use?

A.Two sample z-test

B.Single sample t-test

C.Single sample z-test

D. ANOVA

2.How large does a contingency table need to be for statistical analysis?

at least 2 rows, 2 columns (2x2)

at least 2x3

at least 4x2

at least 10x10

3.To use regression analysis, the data type for the variables that are required are

A.Both discrete

B. independent variable is discrete, dependent variable is continuous

C. Independent variable is continuous, dependent variable is discrete

D.Both continuous

n1=243 n2=405

pˆ1=0.72  p^2=.5  

Use this data to find the 95% confidence interval for the true difference between the population proportions.

Step 1 of 3:

Find the critical value that should be used in constructing the confidence interval

Step 2 of 3:

Find the value of the standard error. Round your answer to three decimal places

Step 3 of 3:

Construct the 95%95% confidence interval. Round your answers to three decimal places.

a researcher at the univeristy of vermont was interested in studying the relationship between attorneys' decision to prosecute cases and victims' credibility. she collected data on 4205 cases, her two variables were victims' credibility(coded as 0=low, 1=medium, 2=high) and case prosecuted(coded as 0=no, 1=yes). Of the 2713 cases prosecutes , in 1025 cases the victim had high credibility, in 790 of the cases the victim had medium credibility and in 989 cases the victim had low credibility . Of the 1492 cases that were not prosecuted, in 541 the victim had high credibility, in 745 the victim had medium credibility, and in 206 the victim had low credibility.

Victims credibility

Cases Prosecuted low med high

no 206 745 541

yes 898 790 1025

a. What are the independent and dependent variable?

b. Is there a statistically significant relationship bewteen victim's credibility and the prosecutors decision to prosecute? (Be sure to write out the six steps)

c. What type of error might you be making ? and how could you reduce the likelihood of making that type or error?

d. What percentage of cases were prosecuted in this sample?

e. For those cases where the victims had high credibility, what percentage were prosecuted?

Healthcare research often involves the use of patients or human subjects. Research and read about the Tuskegee Syphilis Experiment. What are your thoughts? Describe the use of research, using human subjects, and potential ethical issues.

Anne, bob, and carol- all biostatisticians and epidemiologists- are emailing each other about plans for the weekend. Anne suggests that they all go surfing to Santa Cruz, but bob writes back indicating that he is reluctant to do so because he is terrified of sharks. Carol responds by arguing that P(great weekend | surfing) is 0.80 and P(great weekend | no surfing) is 0.50. Assuming that Carol’s probabilities are correct, further assume for this example that each person’s weekend happiness is independent of any other person’s weekend happiness:

1. Given that all friends go surfing, what is the probability that all 3 of them have a great weekend?

2. Given that all 3 friends go surfing, what is the probability that 2 of them have a great weekend and 1 of them does not have a great weekend? (Hint, how many ways could 2 of the friends have a great weekend?)