Using the data below, suppose we focus on the proportions of patients who show improvement. Is there a statistically significant difference in the proportions of patients who show improvement between treatments 1 and 2. Run the test at a 5% level of significance.

Resistance training is a popular form of conditioning aimed at enhancing sports performance and is widely used among high school, college, and professional athletes, although its use for younger athletes is controversial. Researchers obtained a random sample of 3933 patients between the ages of 8 and 30 who were admitted to U. S. emergency rooms with injuries classified by the Consumer Product Safety Commission code "weight-lifting." These injuries were further classified as " accidental" if caused by dropped weight or improper equipment use. Of the 3933 weight-lifting injuries, 1648 were classified as accidental.

What is a 98% confidence interval for the proportion of weight-lifting injuries in this age group that were accidental?

The 98% confidence interval (±±0.001) is from  to

Erin O'Brien, Director of Consumer Credit with Auckland First Bank (AFB), has implemented a 'fast feedback' to keep her informed of the default rate on personal loans at AFB member banks. On each Friday, the default rate is calculated for a sample of 500 personal loans. Last Friday's sample contained 30 defaulted loans. The 90% confidence interval for the population proportion is _________. Select one: a. 0.046 to 0.074 b. 0.039 to 0.081 c. 0.043 to 0.077 d. 0.028 to 0.060

Sixty eight cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. The sample mean and the sample standard deviation are 9% and 3.2%, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table)

Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

Make Excel do all calculations, using cell addresses. Don’t type numbers in your formulas.

Report the answers to the questions in your worksheet using the appropriate symbols (µ σ) and notation p(x>=5), p(X<3) etc...

            Use Insert/Symbol to find mu and sigma for mean and std dev.

1. An auditor for Health Maintenance Services of Georgia reports 30 percent of policyholders 55 years or older submit a claim during the year. Twelve policyholders are randomly selected for company records.

a. What type of distribution is this likely to be?

b. What is the expected number (mean) of the distribution?

c. What is the standard deviation of the distribution?

Use the tables in your text to answer the following questions

d. What is the probability that exactly 6 of the 12 policyholders have filed a claim?

e. What is the probability that more than 6 of the 12 policyholders have filed a claim?

f. What is the probability that 6 or fewer of the 12 policyholders have filed a claim?

g. What is the probability that at least 6 of the 12 policyholders have filed a claim?

Use the BINOMDIST function to answer the following questions

h. What is the probability that exactly 8 of the 12 policyholders have filed a claim?

i. What is the probability that more than 8 of the 12 policyholders have filed a claim?

j. What is the probability that 8 or fewer of the 12 policyholders have filed a claim?

k. What is the probability that at least 8 of the 12 policyholders have filed a claim?

A electronics manufacturer has developed a new type of remote control button that is designed to operate longer before failing to work consistently. A random sample of 20 of the new buttons is selected and each is tested in continuous operation until it fails to work consistently. The resulting lifetimes are found to have a sample mean of ?¯ = 1260.4 hours and a sample standard deviation of s = 116.1. Independent tests reveal that the mean lifetime of the best remote control button on the market is 1200 hours. Conduct a hypothesis test to determine if the new button's mean lifetime exceeds 1200 hours. Round all calculated answers to four decimal places.

1. The null hypothesis is ?0:?=1200. What is the alternate hypothesis? A. ??:?=1260.4 B. ??:?>1200 C. ??:?≠1200 D. ??:?<1200 E. ??:?>1260.4

2. Which of the following conditions must be met to perform this hypothesis test? Select all the correct answers. A. The number of remote control buttons tested must be normally distributed. B. We must be able to expect that at least 5 buttons will fail to work consistently. C. The sample must be large enough so that at least 10 buttons fail and 10 succeed. D. The observations must be independent. E. The lifetime of remote control buttons must be normally distributed.

3. Calculate the test statistic =

4. Calculate the p-value

5. Calculate the effect size, Cohen's d, for this test. ?̂ =

6. The results of this test indicate we have a... A. moderate to large B. large C. small D. small to moderate effect size, and... A. some evidence B. little evidence C. very strong evidence D. extremely strong evidence E. strong evidence that the null m odel is not compatible with our observed result.

Research the role of ETL tools in providing clean and purposely transformed data as part of data mining processes. Then explain the role of ETL in data mining and statistical analysis.

Use Minitab to answer the questions. Make sure to copy all output from the Minitab:

1.   Followings Tables shows previous 11 months stock market returns.

1. Let’s consider the population mean of SP500 as µ1 and that of DJIA as µ2 while none of population variance is known. Test following hypothesis:

Ho : µ1 = µ2

Ha :   µ1 ≠ µ2

2. Let’s consider the population variance of SP500 as σ²₁ and that of DJIA as σ²₂, and none of them are known. Test following hypothesis:

Ho :   σ²₁ = σ²₂

Ha :   σ²₁ ≠ σ²₂

6) Perform the following hypothesis test

Ho :   σ²₁ ≤ σ²₂

Ha :   σ²₁ > σ²₂

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. Test the claim, using α = 0.05.

1. State the null and alternative hypotheses for the test. [3 marks]

(b) Calculate the value of the test statistic for this test. [2 marks]

(c) Calculate the p-value for this test. [2 marks]

(d) State the conclusion of this test. Give a reason for your answer

Bags of whole coffee beans are filled automatically on a production line. A machine fills each bag so that the weight of coffee beans inside is normally distributed with a mean of 290 grams. The label on the bag, however, states that the weight of coffee beans inside is 283 grams.

a. What is the standard deviation of bags of coffee beans, if 13% of the bags have a weight below what is stated on the label?

b. New management wants to be more accurate to their customers and reduce the number of bags that are sent out under the weight of 283 grams listed on the label. They set a goal of sending no more than 1% of bags of coffee that are under the weight of 283 grams. To do this, the management ordered a new filling machine which decreased the standard deviation to 2.3151 grams. The weight of the bags of coffee beans will still be normally distributed. To what mean weight should the new equipment be set, with this new standard deviation and to meet their goal? The machine may only take a one decimal approximation.

Consider the following hypotheses:

H₀: p ≥ 0.48

H_A: p < 0.48

Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1057 and a standard deviation of 203. Scores on the ACT test are normally distributed with a mean of 22.6 and a standard deviation of 4.9. It is assumed that the two tests measure the same aptitude, but use different scales.

If a student gets an SAT score that is the 34-percentile, find the actual SAT score.
SAT score =  
Round answer to a whole number.

What would be the equivalent ACT score for this student?
ACT score =  
Round answer to 1 decimal place.

If a student gets an SAT score of 1341, find the equivalent ACT score.
ACT score =  
Round answer to 1 decimal place.

A large​ family-held department store had the business objective of improving its response to complaints. The variable of interest was defined as the number of days between when the complaint was made and when it was resolved. Data were collected from 40 complaints that were made in the last year. Use the data to complete parts​ (a) through​ (d) below.

Click the icon to view the data table.

a. Construct a

9595​%

confidence interval estimate for the population mean number of days between the receipt of a complaint and the resolution of the complaint.The

9595​%

confidence interval estimate is from

28.728.7

days to

51.451.4

days.

​(Round to one decimal place as​ needed.)

b. What assumption must you make about the population distribution in order to construct the confidence interval estimate in​ (a)?

A.

The number of complaints per day is normally distributed.

B.

The number of days to resolve complaints follows the t distribution.

C.

The number of days to resolve complaints is normally distributed.

Your answer is correct.

D.

The number of complaints per day follows the t distribution.

c. Do you think that the assumption needed in order to construct the confidence interval estimate in​ (a) is​ valid? Explain.

A.

​No, the data suggest the population distribution is skewed to the right.

This is the correct answer.

B.

​Yes, the data suggest the population distribution approximately follows the t distribution.

C.

​Yes, the data suggest the population distribution is approximately normal.

Your answer is not correct.

D.

​No, the data suggest the population distribution is skewed to the left.

d. What effect might your conclusion in​ (c) have on the validity of the results in​ (a)?

ai) Find the mean number of claims made by the sample of smokers and nonsmokers in the group separately.(i.e mean of smokers, mean of nonsmokers)

ii) What is the standard deviation of family size for this population of workers? (standard deviation of popuation) Standardize by converting your “X” values into “Z” values to see whether their historical values match up well with the new company. Use a Z table Hint: use the (ai) and (aii) values along with the means and standard deviations you calculated.

b) First find the Z-value for smokers.

c) And now the Z for nonsmokers.

d) Using your Z-table, find the probability that a nonsmoker will make fewer than 6 claims.

e) Next, find the probability that a smoker will make more than 11 claims.

f) Final Recommendation: This firm will be more risky than the current customer risk pool. True or False