1. Josie has a fixed budget of $20, and she spends it all on two goods, tomatoes and potatoes. The price of tomatoes is $2 per unit, and the price of potatoes is $4 per unit. The table below shows the total benefit, measured in dollars, Martha receives from the consumption of each good.

1. What is Josie’s marginal benefit of the fourth unit of tomatoes? The second unit of potatoes?
2. Calculate the total benefit is Josie consumes 3 unit of tomatoes and 1 unit of potato?
3. If Josie consumes 2 unit of tomatoes and 4 units of potatoes, is this a utility maximizing combination?
4. What is Josie’s optimal consumption of tomatoes and potatoes given her budget?

Determine the initial concentration of Al in experiment #4. Include your units. 4 Al(g) + 3 O2(g) ⟶ 2 Al2O3(g)

1. Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the given sample data.

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1=smooth-yellow​,2=smooth-green​, 3=wrinkled-yellow​, and 4=wrinkled-green.

Do the results make​ sense?

​(a) The mean phenotype code is _____.

2. Statistics are sometimes used to compare or identify authors of different works. The lengths of the first 10 words in a book by Terry are listed with the first 10 words in a book by David. Find the mean and median for each of the two​ samples, then compare the two sets of results.

The mean number of letters per word in​ Terry's book is _____.

3. Refer to the data set of​ times, in​ minutes, required for an airplane to taxi out for​ takeoff, listed below. Find the mean and median. How is it helpful to find the​ mean?

Click the icon for the taxi out takeoff data.

Find the mean and median of the data set using a calculator or similar data analysis technology.

The mean of the data set is _____ minutes.

4. Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 50.4 miles per hour.

The mean of the frequency distribution is _____ miles per hour.

5.Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings​ (in mmHg) are listed below. Find the​ range, variance, and standard deviation for the given sample data. If the​ subject's blood pressure remains constant and the medical students correctly apply the same measurement​ technique, what should be the value of the standard​ deviation?

126   126   138   125   137   134

Range= ______ mmHg

Given two dependent random samples with the following results:

Use this data to find the 90%90% confidence interval for the true difference between the population means.

Let d=(Population 1 entry)−(Population 2 entry). Assume that both populations are normally distributed.

Copy Data

Step 1 of 4: Find the mean of the paired differences, d‾‾. Round your answer to one decimal place.

Step 2 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 3 of 4: Find the standard deviation of the paired differences to be used in constructing the confidence interval. Round your answer to one decimal place.

Step 4 of 4: Construct the 90% confidence interval. Round your answers to one decimal place.

Given two dependent random samples with the following results:

Population 1: 36 48 33 20 31 31 19

Population 2: 26 45 38 28 17 39 28

Use this data to find the 90% confidence interval for the true difference between the population means. Let d=(Population 1 entry)−(Population 2 entry). Assume that both populations are normally distributed.

Step 1 of 4:

Find the mean of the paired differences, d‾‾ (line goes above d). Round your answer to one decimal place.

Step 2 of 4:

Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 3 of 4:

Find the standard deviation of the paired differences to be used in constructing the confidence interval. Round your answer to one decimal place.

Step 4 of 4:

Construct the 90% confidence interval. Round your answers to one decimal place.

(NO CLICKED PHOTOS OR SCREENSHOTS PLEASE, ONLY COMPLETE SOLUTION) The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given below.

ANOVA: Single Factor

SUMMARY

ANOVA

1. State the null and alternative hypothesis for single factor ANOVA.
2. State the decision rule (α = 0.05).
3. Calculate the test statistic.
4. Make a decision.

Bisbee Aeropsace Factor Rating Matrix (please use excel to complete this exercise)

Bisbee Aerospace has recently entered the market for commercial space flights. The executive team at Bisbee is considering proposals from its engineering group for five possible commercial space shuttle designs. The engineering group, in cooperation with the marketing division, has done a thorough job in preparing a business case for each design, and executive team members have carefully reviewed the documentation. Bisbee has a policy in place for weighting criteria used in new product development decisions. These are as follows: Potential to increase market share .40 Potential for financial gain .20 Bisbee’s technical capability for this project .20 Fit with company mission and strategy .20 Members of the Bisbee executive team have rated each shuttle project on the four criteria on scales of 1-10, where a 1 is a low score and a 10 is a high score. The results are as follows:

Rater                                                                                     Rating

Barry

Sandra

Moe

Janet

Prepare a factor-rating matrix using spreadsheet software, and interpret the results.IN EXCELL

1. A sample of 10 employees in the graphics department of Design, Inc. is selected. The employees’ ages are given as follows: 34 35 39 24 62 40 18 35 28 35 Compute the interquartile range of ages. a. 1 b. 11 c. 42 d. 44 e. None of these responses

2. The average grades of a sample of 8 statistics students and the number of absences they had during the semester are given as follows: Student # Absences Average Grade 1 1 94 2 2 78 3 2 70 4 1 88 5 3 68 6 4 40 7 8 30 8 3 60 Compute the sample covariance.

a. -0.915 b. 2.268 c. 22.168 d. -46 e. None of these responses

1. Based on the table, answer the following questions.

1. _{Complete the table above.}
2. _{At what level of the control variable are net benefits maximized?}

Solve 4 questions of quiz. each of them gives 0.25 point

1. Show that the following sets of elements in R³ form subspaces. (a). The set of all (x, y, z) such that x − 2y + z = 0. (b). The set of all (x, y, z) such that x = 3z and y = z.

2. (a). Let U = {(x, y) ∈ R² : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1} and W = {(x, y) ∈ R² : x 2 + y 2 ≤ 1}. Are these sets subspaces of R^2? (b). Find the sum U + W.

3. If U and W are subspaces of a vector space V, show that U + W is a subspace

4.Show that functions f(t) = t and g(t) = 1/t defined for t > 0 are linearly independent.