Why do we use residuals (instead of the data) to check the assumptions in an experimental design?

A study of 45 pregnant women with more than 12 years of education were asked to predict the sex of their babies, and 32 of them made correct predictions. Use these results to test the claim that women with more than 12 years of education have a proportion of correct predictions that is greater than the 0.5 proportion expected with random guesses. Use a 0.01 significance level. Do these women appear to have an ability to correctly predict the sex of their babies? Must show all work.

Maintenance of Production Facility

A production facility has several 3-D printing machines which need maintenance for two reasons. Maintenance type A: a sensor may have detected a fault, e.g. an oil leak. Maintenance type B: the quality of the printed product is unacceptable. Each maintenance requirement occurs at random and independently of other requirements for maintenance, with characteristics summarized in the following table:

What is the probability of exactly 6 maintenance events of type A in half a week?

Question 45 options:

Question 46 (1 point)

Maintenance of Production Facility

A production facility has several 3-D printing machines which need maintenance for two reasons. Maintenance type A: a sensor may have detected a fault, e.g. an oil leak. Maintenance type B: the quality of the printed product is unacceptable. Each maintenance requirement occurs at random and independently of other requirements for maintenance, with characteristics summarized in the following table:

What is the standard deviation of the total cost of maintenance of both type A and type B events for one week?

Question 46 options:

Question 47 (1 point)

Maintenance of Production Facility

A production facility has several 3-D printing machines which need maintenance for two reasons. Maintenance type A: a sensor may have detected a fault, e.g. an oil leak. Maintenance type B: the quality of the printed product is unacceptable. Each maintenance requirement occurs at random and independently of other requirements for maintenance, with characteristics summarised in the following table:

What is the probability of more than 2 maintenance events of type B in one week?

Question 47 options:

Question 48 (1 point)

Maintenance of Production Facility

A production facility has several 3-D printing machines which need maintenance for two reasons. Maintenance type A: a sensor may have detected a fault, e.g. an oil leak. Maintenance type B: the quality of the printed product is unacceptable. Each maintenance requirement occurs at random and independently of other requirements for maintenance, with characteristics summarized in the following table:

What is the standard deviation of the number of maintenance events of type A in one week?

Question 48 options:

Assume that 37% of Canadians feel they will have to cut back on spending, and that a random sample of 100 Canadians is selected.

What is the probability that more than 70 Canadians in the sample felt they will NOT have to cut back on spending?

Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a moderate dose of the drug, and a group that received a high dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient.

We are now also interested if a patient's weight has an effect on the drug's effectiveness. Patients were categorized as either underweight, overweight, or 'medium weight'.  These revised data are presented below. Use the Microsoft Excel "Anova Single-Factor" Data Analysis tool to conduct a 2-way ANOVA test for the data in the following table:

1. Should this be a 2-way test WITH replication or WITHOUT replication?
2. What are the three Questions, in context, that we want our ANOVA to answer?
3. What are your three answers?  Use the group and interaction confidence levels obtained by way of the Excel ANOVA output table's p-values.   State your answers in terms of dose and weight.

This data gives the square footage and sales prices for several houses and sales prices for several houses in Dallas, Texas.

1. You plan to build a 500-sqaure-foot addition to your house. How much do you think your home value will increase as a result?
2. What percentage of the variation in home value is explained by the variation in the house size?

Please set up using an excel worksheet and show any formulas used.

Toys Insane Inc. produces two goods: Glibber Gems (G) and Blubber Bricks (B). In order to produce Glibber Gems and Blubber Bricks, three input factors are necessary: Slime (S), Tran (T), and Gorilla Mucus (M). The following table summarizes how many input factors are necessary to produce one unit of each good and how many input factors are available in total:

The unit profits for each Glibber Gem and Blubber Brick are each $5.

Please program the linear programming model using Excel's "Solver (Please check "Make Unconstrained Variables Non-Negative")

If you had one slime unit less, the optimum quantity of Blubber Bricks would be?

Toys Insane Inc. produces two goods: Glibber Gems (G) and Blubber Bricks (B). In order to produce Glibber Gems and Blubber Bricks, three input factors are necessary: Slime (S), Tran (T), and Gorilla Mucus (M). The following table summarizes how many input factors are necessary to produce one unit of each good and how many input factors are available in total:

The unit profits for each Glibber Gem and Blubber Brick are each $5.

Please program the linear programming model using Excel's "Solver (Please check "Make Unconstrained Variables Non-Negative")

If you had one slime unit less - and assuming that you cannot produce non-integer numbers of Glibber Gems and Blubber Bricks - then the optimum number of Blubber Bricks would be?

Toys Insane Inc. produces two goods: Glibber Gems (G) and Blubber Bricks (B). In order to produce Glibber Gems and Blubber Bricks, three input factors are necessary: Slime (S), Tran (T), and Gorilla Mucus (M). The following table summarizes how many input factors are necessary to produce one unit of each good and how many input factors are available in total:

The unit profits for each Glibber Gem and Blubber Brick are each $5.

Please program the linear programming model using Excel's "Solver (Please check "Make Unconstrained Variables Non-Negative")

By how much could the unit profit of Blubber Bricks increase before the optimum solution changes?

Toys Insane Inc. produces two goods: Glibber Gems (G) and Blubber Bricks (B). In order to produce Glibber Gems and Blubber Bricks, three input factors are necessary: Slime (S), Tran (T), and Gorilla Mucus (M). The following table summarizes how many input factors are necessary to produce one unit of each good and how many input factors are available in total:

The unit profits for each Glibber Gem and Blubber Brick are each $5.

Please program the linear programming model using Excel's "Solver (Please check "Make Unconstrained Variables Non-Negative")

If you had one slime unit less, the optimum solution would then be?

1. It is possible to compare multiple means with a single set of hypotheses (one null and one alternate hypothesis).   
2. In hypothesis testing, the goal is to accept the null hypothesis.

3. Point estimates are known for estimating the population values perfectly.
4. In hypothesis testing, the region(s) of rejection is always in the tail(s).
5. If the confidence level is changed from 90% to 95%, the confidence interval values would get closer to each other.

True or false? with explanations?

Daily commute time is normally distributed with mean=40 minutes and standard deviation=8 minutes. For 16 days of travel, what is the probability of an average commute time greater than 35? B. A cup holds 18 ozs. The beer vending machine has an adjustable mean and a standard deviation equal to .2 oz. What should the mean be set to so that the cup overflows only 2.5% of the time? C. The probability that Rutgers soccer team wins a game is .6. What is the probability they win 10 or more of the 14 games?

Describe how to conduct an f-test to analyze a dataset (Steps are fine in this case)

Toys Insane Inc. produces two goods: Glibber Gems (G) and Blubber Bricks (B). In order to produce Glibber Gems and Blubber Bricks, three input factors are necessary: Slime (S), Tran (T), and Gorilla Mucus (M). The following table summarizes how many input factors are necessary to produce one unit of each good and how many input factors are available in total:

The unit profits for each Glibber Gem and Blubber Brick are each $5.

Please program the linear programming model using Excel's "Solver (Please check "Make Unconstrained Variables Non-Negative")

By how much could the unit profit of Glibber Gems increase, before the optimum solution changes?