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. Claim: Male and female subjects have different total (brain) surface areas. 9. What test/procedure did you perform? a. One-sided t-test b. Regression c. Two-sided t-test d. ​​Confidence interval 10. What is the P-value/margin of error? a. 0.450365624 b. 1.10877E-11 c. 0.435460528 d. 0.900731248 e. ​​None of these 11. Statistical interpretation a. The 95% confidence interval does not contain the averages. b. Since P-value is too large we cannot conclude that the two variables have different averages. c. Since P-value is too large we cannot claim that there is connection between two variables. d. Since P-value is small we can claim that there is connection between two variables. e. None of these 12. Conclusion a. Yes, I am confident that the averages are different. b. No, I cannot claim that the average are different.

Let Y = e^x where X is normally distributed with μ = 1.2 and σ = 0.5. Compute the following values. [You may find it useful to reference the z table.]

a. Compute P(Y ≤ 9.6). (Round your intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)


b. Compute P(8.4 < Y < 9.7). (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)


c. Compute the 70th percentile of Y. (Round your intermediate calculations to at least 4 decimal places, “z” value to 3 decimal places, and final answer to the nearest whole number.)

Suppose μ1 and μ2 are true mean, for An experiment resulted in the following data:

System 1: m = 6, Xbar= 115.7, s1= 5.03;

System 2: n = 6, Ybar=129.3, s2= 5.38.

Use the two-sample t test at significance level 0.01 to test H0: μ1- μ2= -10 versus Ha: H0: μ1- μ2 < -10. You can use either critical value or p-value to reach to a conclusion.

Please be as detailed as possible and list any assumptions made. Thank you very much!

CHAPTER 2-3

2.14

Exercise 2.19

A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours. What are the mean, the standard deviation, and the variance of an employee's total weekly salary?

An engineer has carefully measured the spacing between anchor bolts (in mm) as:

19   23    21    21
19   13    26    15
30    30   17    24
20   16    24    20

Find:
a. The 90 percent CI for µ
b. The 80 percent CI for µ
c. The 99 percent CI for µ assuming σ = 4.1 mm is known

CHAPTER 2-4

Exercise 2.38

Ninety percent of residential gas customers in Illinois use gas for residential heating. Sixteen residential gas customers are randomly selected to participate in a panel discussion for a state energy fair. A gas industry executive is hopeful that at least twelve of the panel members, i.e., 75%, will come from homes in which gas is used for residential heating. If you were the executive's assistant, what degree of assurance could you give the executive that her 75% goal might be reached or exceeded?

A random variable X is exponentially distributed with a mean of 0.21.

a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.)


a-2. What is the standard deviation of X? (Round your answer to 2 decimal places.)


b. Compute P(X > 0.36). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

Maggie Vitteta, single, works 30 hours per week at $14 an hour. How much is taken out for federal income tax with one withholding exemption? (Assume the overtime for each employee is a time-and-a-half rate after 40 hours.) (Use Table 7.1 and Table 7.2) (Round your answer to the nearest cent.)

The Social Security Administration increased the taxable wage base from $107,200 to $109,100. The 6.2% tax rate is unchanged. Joe Burns earned over $120,000 each of the past two years. a. What is the percent increase in the base? (Round your answer to the nearest hundredth percent.) Percent increase % b. What is Joe’s increase in Social Security tax for the new year? (Round your answer to the nearest cent.) Increase in social security tax $

A consumer preference study compares the effects of three different bottle designs (A, B, and C) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of these supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded. The data obtained are displayed in the following table. Bottle Design Study Data A B C 14 31 24 17 32 25 13 29 28 14 30 27 15 34 28 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY Groups Count Sum Average Variance Design A 5 73 14.6 2.3 Design B 5 156 31.2 3.7 Design C 5 132 26.4 3.3 ANOVA Source of Variation SS df MS F P-Value F crit Between Groups 729.7333 2 364.8667 117.70 3.23E-06 3.88529 Within Groups 37.2 12.0 3.1000 Total 766.9333 14 (a) Test the null hypothesis that μA, μB, and μC are equal by setting α = .05. Based on this test, can we conclude that bottle designs A, B, and C have different effects on mean daily sales? (Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) F 117.70 p-value 0.00 H0: bottle design have an impact on sales. (b) Consider the pairwise differences μB – μA, μC – μA , and μC – μB. Find a point estimate of and a Tukey simultaneous 95 percent confidence interval for each pairwise difference. Interpret the results in practical terms. Which bottle design maximizes mean daily sales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Point estimate Confidence interval μB –μA: 16.60 , [ 13.63 , 19.57 ] μC –μA: 11.80 , [ 8.83 , 14.77 ] μC –μB: -4.80 , [ -7.77 , -1.83 ] Bottle design maximizes sales. (c) Find a 95 percent confidence interval for each of the treatment means μA, μB, and μC. Interpret these intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Confidence interval μA: [ 13.12 , 16.08 ] μB: [ 29.32 , 33.08 ] μC: [ 24.63 , 28.17 ].

Please answer the following questions,

1- Explain a problem/question related to your work

2- make up a fictional data set with the variables that you'll need to answer your question or solve your problem;

3- Apply appropriate data analysis tools;

4- Draw conclusions regarding your question based on your results.

5- Finally, upload your work in one Excel spreadsheet.

As a systems analyst you are leading a project to identify improvements for the current R-ADT system. The primary uses of the system include patient scheduling, patient admitting, HIM, case management, and nursing.

Explain what options you have for conducting the requirements analysis, identify which of these you would choose to use and why, and then describe in detail the process you would follow.

**When they say identify which of these you would chose it is referring to these:

System Initiation

Requirements Analysis

System Design

System Construction

System Acceptance

System Implementatio