Energy consumption. The following table presents the average annual energy expenditures (in dollars) for housing units of various sizes (in square feet).

c.) If two homes differ in size by 250 square feet, by how much would you predict their energy expenditure to differ?

d.) Predict the energy expenditure for a home that is 2000 square feet.

e.) Compute the correlation coefficient. Interpret.

f.) Compute the correlation determination. Interpret.

Hey the correct answer is given for both, but can you please do the steps on how to get to the answer, Im confused on how to solve? Thank you!

3. At least what sample size is necessary in order to obtain a 90% confidence interval of length 6, when SD = 10?

A. 8 B. 16 C. 60 D. 15 E. 61 Answer: E

4. With which combination of confidence level and sample size will the corresponding confidence interval be largest?

A. 90%, n = 25 B. 99%, n = 50 C. 80%, n = 20 D. 95%, n = 25 E. 98%, n = 50 Answer: D

Using the table below, indicate which scale of measurement (nominal, ordinal, interval/ratio) is most appropriate for the variable indicated.

A specially made pair of dice has only​ one- and​ two-spots on the faces. One of the dice has three faces with a​ one-spot and three faces with a​ two-spot. The other die has two faces with a​ one-spot and four faces with a​ two-spot. One of the dice is selected at random and then rolled six times. If a two​-spot shows up five times​, what is the probability that it is the die with the three two​-spots?

​(Simplify your answer. Do not round until the final answer. Then round to four decimal places as​ needed.)

The typically number of credits to be considered full time is 12 credits. The OSU Statistics department is curious whether the ST201 online students take something different than 12 credits on average.

Use the information from the student information survey for our class to perform a hypothesis test.

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State: Is there evidence that the average number of credits for ST201 students is other than 12? Vis ualize :

a. (2 points) Describe the histogram of the sampled data in context. Recall, you should include the shape, center, and spread. Is there any visual evidence the average number of credits is less than 15?

Plan:

b. (1 point) State the null and alternative hypotheses to answer the question of interest.
c. (2 points) Check conditions for inference. List the conditions and state whether they are met.

2

Jager © Intellectual property of Katie Jager.

Solve:

d. (3 points) Calculate the test statistic. Show work.

5. (1 point) What is the p-value for the test? Is it one or two sided?

6. (3 points) Calculate a 99% confidence interval for μ. Show work.

Conclude :

g. Write a four-part conclusion describing the results.

•  (1 point) Provide a statement in terms of the alternative hypothesis.

•  (1 point) State whether (or not) to reject the null.

•  (1 point) Give an interpretation of the point and interval estimate.

•  (1 points) Include context.

Are the data you collected paired or independent? Explain how you know. Describe in words the hypotheses you want to test. How did you decide what the alternative hypothesis would be? State the hypotheses using the H0 and HA symbols and other appropriate symbols. (I don't want to say too much because I don't want to give away the answer!) What conditions/assumptions/requirements need to be met for this hypothesis test? Explain them, but you don't have to check them. (Bonus point opportunity: Check the conditions for the test and show your work (e.g. a graph). Explain how the conditions are met or not.) Continue on with the test, whether or not the conditions were met. Are there any unusual data values that you decided to delete from the data set? Which values and why? What is the sample size of your data set, if/after you moved pairs of data? n = _______ What is the value of the sample mean? What is the value of the sample standard deviation? Why is the standard deviation so large (or small)? What are the degrees of freedom for this hypothesis test? What significance level will you be using for this test? (Your choice!) What is the test statistic for this test? t = _____ What is the p-value for this test? Should you reject H0 or not reject H0 ? Explain how you know. Summarize the results of the test, making sure to talk about the dominant/non-dominant hands and the speed to write the names. Data:

a. A random number table is used to randomly pick a sample of 118 students from a population of 2000 students. I would group the numbers found in the random numbertable in groups of ________.

b. Here is the row I use from the random number table: 11029 39384 59382 31393 38388 37362 01836 2334…………………………….. We will use multiple labeling, such that each member of the population gets five labels. Please list the first five members of the sample of 118 students that I will include?

Please show work for B. The answer is 1102, 1393, 459, 1823, 1838 but I dont know how to get it. Thank you!

The cost of a leading liquid laundry detergent in different sizes is given below.

Calculate the least squares line. Put the equation in the form of:

ŷ = a + bx.

Find the correlation coefficient r

If the laundry detergent were sold in a 50-ounce size, find the estimated cost.

If the laundry detergent were sold in an 86-ounce size, find the estimated cost.

What is the slope of the least squares (best-fit) line?

#9 find the minimum sample size for the following. you wish to estimate 90% confidence and within 3% of the true population, the proportion of senior citizens that need to be treated for heart disease. there is no initial estimate for p-hat (Hint: think half and half) Show all work.

#10 using the data from #9 - if there was an initial estimate of 30%, what would be the minimum sample size?

Are the data you collected paired or independent? Explain how you know. Describe in words the hypotheses you want to test. How did you decide what the alternative hypothesis would be? State the hypotheses using the H0 and HA symbols and other appropriate symbols. (I don't want to say too much because I don't want to give away the answer!) What conditions/assumptions/requirements need to be met for this hypothesis test? Explain them, but you don't have to check them. (Bonus point opportunity: Check the conditions for the test and show your work (e.g. a graph). Explain how the conditions are met or not.) Continue on with the test, whether or not the conditions were met. Are there any unusual data values that you decided to delete from the data set? Which values and why? What is the sample size of your data set, if/after you moved pairs of data? n = _______ What is the value of the sample mean? What is the value of the sample standard deviation? Why is the standard deviation so large (or small)? What are the degrees of freedom for this hypothesis test? What significance level will you be using for this test? (Your choice!) What is the test statistic for this test? t = _____ What is the p-value for this test? Should you reject H0 or not reject H0 ? Explain how you know. Summarize the results of the test, making sure to talk about the dominant/non-dominant hands and the speed to write the names.

Data:

Perform a regression analysis to see if body fat percentage is a good predictor of BMI. Use Excel or statistical software and be sure to include the following:

a) A scatterplot.
b) A correlation measure r.
c) The graph of the regression line on the scatterplot
d) The regression equation.
e) A discussion that explains how well body fat works as a predictor of BMI

in R.

Generate a random sample of size 700 from a gamma distribution with shape parameter 8 and scale parameter 0.1. Create a histogram of the sample data. Draw the true parametric density (for the specified gamma distribution) on the histogram. The curve for the density should be red.
(Note: The “true parametric density” is the distribution from which the sample values were generated. It is NOT the kernel density that is estimated from the data.)

A certain flight arrives on time 87 percent of the time. Suppose 181 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that

​(a) exactly 155 flights are on time.

​(b) at least 155 flights are on time.

​(c) fewer than 170 flights are on time.

​(d) between 170 and 171​, inclusive are on time.

At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $89 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $2.81. Over the first 40 days she was employed at the restaurant, the mean daily amount of her tips was $92.66. At the 0.01 significance level, can Ms. Brigden conclude that her daily tips average more than $89?

1. State the null hypothesis and the alternate hypothesis.

• H₀: μ ≥ 89; H₁: μ < 89

• H₀: μ >89; H₁: μ = 89

• H₀: μ ≤ 89; H₁: μ > 89

• H₀: μ = 89; H₁: μ ≠ 89

2. State the decision rule.

• Reject H₀ if z > 2.33

• Reject H₁ if z < 2.33

• Reject H₁ if z > 2.33

• Reject H₀ if z < 2.33

3. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

4. What is your decision regarding H₀?

• Reject H₀

• Do not reject H₀

5. What is the p-value? (Round your answer to 4 decimal places.)