The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender = 1 for males and 0 for females.

(a)

Find the value of the test statistic for shoe size. (Round your answer to two decimal places.)

t =

(b)

Is the regression coefficient of shoe size statistically significant? (Use α = 0.05.)

The regression coefficient of shoe size

statistically significant.

(c)

Does the variable shoe size belong in the model?

The variable shoe size

belong in the model.

(d)

Interpret the regression coefficient of Gender. (Round your answer to 3 decimal places).

Males are inches taller than females, on average, controlling for shoe size.

An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation.

400 $4300

450 $5300

550 $5700

600 $6200

700 $6700

750 $7300

• Check My Work (2 remaining)

Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sample data below show the number of companies providing health insurance for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium-sized companies have 100 to 999 employees, and large companies have 1,000 or more employees. The questionnaire sent to 225 employees asked whether or not the employee had health insurance and then asked the employee to indicate the size of the company.

Size of Company Yes No Total

Small 35 15 50

Medium 69 6 75

Large 85 15 100

a. Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company. What is the p-value? Compute the value of the x^2 statistic

b. A newspaper article indicated that employees of small companies are more likely to lack health insurance. Calculate the percentage of employees without health insurance based on company size.

Small __%

Medium___%

Large___%

Any help is appreciated. Thank You!

A simple random sample of 12 e-readers of a certain type had the following minutes of battery life. 287, 311, 262, 392, 313, 260, 320, 316, 286, 256, 303, 291 Assume that it is reasonable to believe that the population is approximately normal and the population standard deviation is 76. What is the upper bound of the 95% confidence interval for the battery life for all e-readers of this type? Round your answer to one decimal places (for example: 319.4). Write only a number as your answer. Do not write any units.

How are paired t-tests different from two-sample t-tests?

1. When are they used: population parameters

2. Data types they are used on

3. Which sample statistics are used as estimates for the population parameter

4. Test statistics, including conditions and Minitab command

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of ​$129.00. Assume the population standard deviation is ​$16.60.

Interpret the results. Choose the correct answer below.

A. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is narrower than the​ 90%.

B. With​ 90% confidence, it can be said that the sample mean price lies in the first interval. With​ 95% confidence, it can be said that the sample mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

C. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

A wine shop wants to serve its white wine at a mean temperature of 50 degrees. In a sample of 36 glasses of wine, the mean was found to be 53 with a standard deviation of 3. The wine shop is interested to see if the evidence indicates that the wine shop is not meeting its temperature standard.

(a) Using a significance level of α=0.05, perform a two-tailed hypothesis test to determine if the wine shop is not meeting its temperature standard. Use the test statistic/critical value approach.

(b) Using a significance level of α=0.01, perform a two-tailed hypothesis test to determine if the wine shop is not meeting its temperature standard. Use the test statistic/critical value approach.

(c) Repeat part (a), but use the p-value approach.

(d) Repeat part (b), but use the p-value approach.

In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with 5% P-value or 95% confidence interval.

Open Brain data. SETUP: It is believed that the person whose brain has larger surface area (i.e. TOTSA: Total Surface Area) that the person will have the larger brain volume as well. Given the data your job is to confirm or disprove this assertion.

1. What test/procedure did you perform?

• a. One-sided t-test
• b. Two-sided t-test
• c. Regression
• d. ​​Confidence interval

2. What is the P-value/margin of error?

• a. 0.248605264
• b. 0.005070081
• c. 3.44547E-20
• d. 5.27739E-08
• e. ​​None of these

3. Statistical interpretation

• a. Since P-value is very large we cannot confirm that the average of the first sample is larger than the other.
• b. Since P-value is very small we are very confident that the averages are different.
• c. Since P-value is very small we are confident that the slope of regression line is not zero.
• d. ​​None of these.

4. Conclusion

• a. Yes, I am confident that the above assertion is correct.
• b. No, we cannot claim that the above assertion is correct.

paste content below in a text document and then open the text document with excel

CCMIDSA: Corpus Collasum Surface Area (cm2)     FIQ: Full-Scale IQ      HC: Head Circumference (cm)     ORDER: Birth Order      PAIR: Pair ID (Genotype)        SEX: Sex (1=Male 2=Female)      TOTSA: Total Surface Area (cm2) TOTVOL: Total Brain Volume (cm3)        WEIGHT: Body Weight (kg)
8.42    96      57.2    1       6       1       1806.31 1079    61.236
7.44    88      57.2    1       7       1       2018.92 1104    79.38
6.84    85      57.2    1       8       1       2154.67 1439    99.792
6.48    97      57.2    1       9       1       1767.56 1029    81.648
6.43    124     58.5    1       10      1       1971.63 1160    72.576
7.62    101     57.2    2       6       1       1689.6  1173    61.236
6.03    93      57.2    2       7       1       2136.37 1067    83.916
6.59    94      55.8    2       8       1       1966.81 1347    97.524
7.52    114     56.5    2       9       1       1827.92 1100    88.452
7.67    113     59.2    2       10      1       1773.83 1204    79.38
6.08    96      54.7    1       1       2       1913.88 1005    57.607
5.73    87      53      1       2       2       1902.36 1035    64.184
6.22    101     57.8    1       3       2       2264.25 1281    63.958
5.8     103     56.6    1       4       2       1866.99 1051    133.358
7.99    127     53.1    1       5       2       1743.04 1034    62.143
7.99    89      54.2    2       1       2       1684.89 963     58.968
8.76    87      52.9    2       2       2       1860.24 1027    58.514
6.32    103     56.9    2       3       2       2216.4  1272    61.69
6.32    96      55.3    2       4       2       1850.64 1079    107.503
7.6     126     54.8    2       5       2       1709.3  1070    83.009

Residents of neighboring towns have an ongoing disagreement over who lays claim to the higher average price of a​ single-family home. A person in one of these towns obtains a random sample of homes listed for sale with a major local realtor to investigate if there is actually any difference in the average home price.

Compute the​ t-statistic. T = _____________________ ​(Round to three decimal places as​ needed.)

Find the​ P-value. The​ P-value is ___________________ ​(Type an integer or decimal rounded to four decimal places as​ needed.)

Use R for this problem(Code in R). A firm’s personnel officer sampled 36 male and 24 female employees investigate allegations that the men in the organization tend to receive hire annual bonuses than the women. Their bonuses (as percentages of their annual salaries) are below.

Men

Women

a) Check all necessary assumptions for running a t-test for the difference between the two populations of bonus percentages. If you need to, check normality with boxplots, normal probability plots, ad.test(), and shapiro.test().
b) Can you pool in this situation Why or why not
c) Write down the hypotheses to test given the personnel officer wants to know if there is evidence to conclude the men receive higher bonus percentages. Use R to run a t-test using the t.test() function. Provide your code, output, and conclusion based on the p-value.

dentify and analyze a real-life, business application of statistics. The “business” can be a for-profit, non-profit, small or large entity. The following are not acceptable topics:

• An application that uses descriptive statistics (i.e., graphs, percentages, measures of central tendency or dispersion)

You do not have to collect actual data from a business or apply the statistical procedure/calculate an answer.

Write a brief summary of the business context (e.g., manufacturing, marketing, finance, etc.) including the name of the company or organization.

___________________________________________

Part B: Problem/Issue

State the business problem/issue to be addressed using statistics and why this problem/issue is important to the company/organization.

___________________________________________

Part C: Statistical Procedure

Explain the statistical procedure (NOTE: Focus on ONE statistical procedure only)

1. Independent variable:

a) What is the variable: ___________________________________________

b) How it is measured, i.e. what units or categories are used (e.g., revenue measured in “dollars”; height measured as “short, average, tall”) _______________________________

c) Level of measurement (nominal, ordinal, interval, or ratio): ________________________________________

2. Dependent variable:

a) What is the variable: ___________________________________________

b) How it is measured, i.e. what units or categories are used (e.g., revenue measured in “dollars”; height measured as “short, average, tall”) _______________________________

c) Level of measurement (nominal, ordinal, interval, or ratio): ________________________________________

3. Name of the procedure/formula (e.g., ANOVA, Chi-Square, Hypothesis Test using z formula, Regression Analysis, etc.). NOTE: The procedure/ formula must be one that was covered in the course: ___________________________________________

4. Describe the statistical rationale/justification for choosing this procedure/formula: ___________________________________________

5. Describe how the data are collected by the business/organization: ___________________________________________

6. Describe how the data are analyzed (i.e., identify the steps in the statistical procedure): ___________________________________________

Part D: Decision/Interpretation

Explain the type of business decision that the company/organization would make as a result of this statistical analysis.

Let the number of aberrations in the production of a large scale lens have a Poisson distribution. We want the probability that a given lens contains at most one aberration to be greater than 0.99.
a) Find the largest value of the mean that this distribution can take.
b) Assume the mean is µ = 0.11. Determine the probability that a batch of 5 lens will have at least two lenses with at least one defect each.

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 17 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with σ = 0.38 gram. (a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large normal distribution of weights σ is unknown σ is known uniform distribution of weights (c) Interpret your results in the context of this problem. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region. (d) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.12 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) hummingbirds

In a study of the accuracy of fast food​ drive-through orders, one restaurant had 37 orders that were not accurate among 305 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to​ 10%. Does the accuracy rate appear to be​ acceptable?

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is?

​(Round to two decimal places as​ needed.)

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is?

​(Round to three decimal places as​ needed.)

Identify the conclusion for this hypothesis test.

A.

Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

B. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

C. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

Does the accuracy rate appear to be​ acceptable?

A. Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the restaurant should work to higher that rate.

B. Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is​ unacceptable, so the restaurant should work to lower that rate.

C.Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.

D.Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, it is plausible that the inaccuracy rate is ​10%. This rate would be too highThis rate would be too high​, the restaurant should work to lower the rate.

You hypothesize that prey choice and gender of the predator are not independent of each other when it comes to hawk feeding beheavior. Using the table of data below, determine if the data supports independence of those two categorical variable.

  Squirrel prey    Pigeon prey

Male hawk    64 42

Female hawk    37    46

What is your null and alternate hypothesis?  Calculate if the factors are independent of each other.  Clearly indicate why you reject, or fail to reject, your null hypothesis, and why