Assignment 1
Choose any one variable of interest (e.g., cups of coffee) and collect data from two independent samples (e.g., men vs. women, children vs. adults, college students vs. non-college students, etc.) could make up the data.. of minimum size n=5 each. Complete the following:

1. Indicate whether your variable is continuous or discrete.
2. Indicate which scale of measurement your variable is categorized as (nominal, ordinal, interval, or ratio).
3. Calculate the mean, median, and mode for each sample.
4. Provide a conclusion sentence that describes the difference between these two samples based on the two means (e.g., “the sample of men consume more coffee on average compared to the sample of women”).

Print-O-Matic printing company spends specific amounts on fixed costs every month. The costs of those fixed costs are in table #3.1.12.

a.) Find the mean and median. For median, list the numbers in order and show calculation. For mean, show calculation along with the sum.

b.) Find the mean and median with the bank charges removed. Describe what happened and why? Show calculation.

c.) Find the variance and standard deviation by creating a standard deviation table. Show work.

d.) Discuss why you used sample standard deviation or population standard deviation and why?

This ha been answered but my question is worded different then the others.

two card are drawn simultaneously from card pack of 52 ; find mean and variance of the number of kings . according to BINOMIAL DISTRIBUTION .
1) with replacement

2)without replacement

Table 2.5 (page 109) gives data on the true calories in 10 foods and the average guesses made by a large group of people. Exercise 2.26 explored the influence of two outlying observations on the correlation.

(a) Make a scatterplot suitable for predicting guessed calories from true calories. Circle the points for spaghetti and snack cake on your plot. These points lie outside the linear pattern of the other 8 points.

(b) Find the least-squares regression line of guessed calories on true calories. Do this twice, first for all 10 data points and then leaving out spaghetti and snack cake.

(c) Plot both lines on your graph. (Make one dashed so you can tell them apart.) Are spaghetti and snack cake, taken together, influential observations? Explain your answer.

Table 2.5

State the general relationship between consumption Y and disposable income X in ( a ) exact linear form and ( b ) stochastic form. ( c ) Why would you expect most observed values of Y not to fall exactly on a straight line?

eBook The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is = 100. Use z-table.

Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased?

Princess Foods wants to determine if there is a relationship in the amount a household spends on

prepared foods to family size and income.

Parthika:

Well, we still have data collected from a previous marketing study. Let’s use that. We have an Excel

file. I am sure we can find the spreadsheet. It should have the exact information we need.

Liwei: Yes, this could be interesting. We may find enough evidence to rethink the meal preparation

kits again.

Bonnie: Great idea. We need to know it the data is a good fit and what the exact relationship is

between the dependent variable and the independent variables. We can use this information to help

us design perhaps a new line of prepared frozen foods.

Parthika

Yes, what about the prepackaged salad bowls. We really need to see this data.

Bonnie:

Yes, let’s get right on this.

Mini-Case Assignment

Please use the attached spreadsheet and Excel to determine the equation that represents the relationship and

explain the goodness of fit.

Based on the data, write a memo and interpret the results. How might this data be used?

**Please explain using the regression option on the Data Analysis pack in Excel. Thank you!

Do education programs for preschool childrent that follow the Montessori method perform better than other programs? A study compared 5-year-old children in Milwaukee, Wisconsin, who had been enrolled in preschool programds from the age of 3.

A. Explain why comparing children whose parents chose a Montessori school with children of other parent would not show whether Montssori schools perform better than other programs. (In fact, all the children in the study applied to the Montessori school. The school district assigned students to Montessori or other preschools by a random lottery.)

B. In all, 54 children were assigned to the Montessori school and 112 to other schools at age 3. When the children were 5 parents of 30 of the Montessori children and 25 others could be located. Those parents who were located agreed to and subsequently participate in testing. This information reveals a possible source of bias in comparison to the outcomes. Explain why?

C. One of the many response variables was score on a test of ability to apply basic mathematics to solve problems. Here are summaries for the children who took this test:

Group: n x s

Montessori 30 19 3.11

Control 25 17 4.19

Is there evidence of a difference in the population mean scores? (The researchers used two-sided alternative hypotheses.)

You are in charge of pricing for a California wine company. Because nearly 90% of U.S. wines are produced in California, you think that California wines might be perceived differently from those produced in other states, thus affecting the price. You decide to see how both wine rating and whether or not the wine is from California affect the pricing of wines in the U.S.

For this question, you will need to download the Wine Rating Data and then use the data analysis tool pack in Excel to run a regression. Note that for the dummy variable, you will need to use an IF command to make that column.

https://arizona.grtep.com/core/uploadfiles/components/287971/files/Wine%20Rating%20Data.xlsx (Wine Data)

Run a regression to estimate the following equation.

Price = β0+β1Rating + β2California + β3(Rating×California) + ε

“California” is a dummy variable that equals 1 if the wine is from California. Round your answers to 2 decimal places.

Priceˆ= ________ + ________ Rating− _______ California+ _______ Rating∗California

What was the reported R² of the model? Round your answer to 4 decimal place.

What would be the difference in predicted price of two wines that both have a rating of 93, but one is produced in California and one is produced in Oregon? Round your answers to 2 decimal places.

Hint, it might be helpful to write out the equation for when the California dummy variable equals 0 and then for when it equals 1 like we did in class for other dummy variables.

The California wine is $_______ higher than the Oregon wine.

Based on the model you estimated, at what rating do California wines become more expensive than wines from other states? Round your answers to 2 decimal places.

I need 5~10 please! thank you

Scores on the GRE. A college senior who took the Graduate Record Examination exam scored 510 on the Verbal Reasoning section and 650 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section was 470 with a standard deviation of 127, and the mean score for the Quantitative Reasoning was 429 with a standard deviation of 153. Suppose that both distributions are nearly normal. Round calculated answers to 4 decimal places unless directed otherwise.

1. Write down the short-hand for these two normal distributions.

The Verbal Reasoning section has a distribution N(470, 127 )

The Quantitative Reasoning section has a distribution of N (429,153)

2. What is her Z score on the Verbal Reasoning section? 0.3149

3. What is her Z score on the Quantitative Reasoning section? 1.4444

4. Relative to others, which section did she do better on?

A. Quantitative Reasoning

5. What is her percentile score on the Verbal Reasoning section? Round to nearest whole number.

6. What is her percentile score on the Quantitative Reasoning section? Round to nearest whole number.

7. What percent of the test takers did better than she did on the Verbal Reasoning section? %

8. What percent of the test takers did better than she did on the Quantitative Reasoning section? %

9. What is the score of a student who scored in the 41th percentile on the Quantitative Reasoning section? Round to the nearest integer.

10. What is the score of a student who scored worse than 92% of the test takers in the Verbal Reasoning section? Round to the nearest integer.

The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,675 . Assume that the standard deviation is $2,645 . Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $194 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals.

What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals.

A larger sample - Select your answer -increasesdecreasesItem 5 the probability that the sample mean will be within a specified distance of the population mean. In the automobile insurance example, the probability of being within +-194 of  ranges from  for a sample of size 30 to  for a sample of size 400 .

Use the dataset and the predicted regression equation to calculate the expected value of Y for each known value of X. Then, use this information to calculate the standard error of estimate. Round all values to the nearest whole number.

Y’ = 2.5 + .75(ice cream sales)

Now, calculate the standard error. The standard error is _________

PLEASE show your work so I can understand!

At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts. The judges use a scale of 1 to 10, where 10 is a perfect score. A statistician wants to examine the jobjectivity and consistency of the judges. Assume scores are normally distrbuted.

1. At the 1% significance level, can you conclude that average scores differ by judge? Can you conclude that the judges seem inconsistent with thier scoring?
2. At the 1% significance, can you conclude that average scores differ by gymnast?
3. If average scores differ by gymnast, use Tukey's HSD method at the 1% significance level to determine which gymnasts' perfomrances differ.