The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerablydepending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on thesame 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.DayStore 1Store 218892Difference(Store 1 - Store 2)Send data to calculator V3699 534479 525 25243985432364 160678213 252 92932 234 632410 174 282 34 272 181 18 297Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question byperforming a hypothesis test regarding μ (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores.Assume that this population of differences (Store 1 minus Store 2) is normally distributed.Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answersas specified. (If necessary, consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H₁.H:DH₁ :(b) Determine the type of test statistic to use.Type of test statistic: (Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)and(e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ?Yes No3|x50=0*XaS200OSOOOEsp

Given: Day Store 1 Store 2 Difference, d 1 889 479 410 2 699 525 174 3 534 252 282 4 398…

Answered: Based on these data, can the owner…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Conduct a hypothesis for whether consumption and income are linearly related using ? =0.01. The standard error of the slope is 0.144. Slope = 0.75, Intercept = 0, sample:Income 9, 11, 5, 8, 2, 9, 12Consumption 7, 7, 2, 7, 2, 8, 9 Step 1: State the null and alternative hypotheses.Step 2: Choose the significance level.Step 3: Calculate the test statistic.Step 4: Find the critical value(s).Step 5: Compare the test statistic to the critical value(s).Step 6: State the conclusion.
Use the following sample data for variables y and x to complete parts a through c. 48 68 83 79 53 89 82 44 93 5 6 96 D 6 4 3 4 6 4 4 2 a. Develop a scatter plot for these data and describe what, if any, relationship exists. b. (1) Compute the correlation coefficient. (2) Test to determine whether the correlation is significant at the significance level of 0.10. Conduct this hypothesis test using the p-value approach. (3) Compute the regression equation based on these sample data and interpret the regression coefficients. c. Test the significance of the overall regression model using a significance level equal to 0.10. a. Choose the correct graph below. O A. B. Oc. OD. 150 150 150T 150 ---- There appears to be V linear relationship between x and y. b. First compute the c |(Round to is needed.) r= no Now test to determine on is significant at the signifi tested. a positive A. Ho: ρ 0, H. a negative b. First compute the correlation coefficient r. r= (Round to three decimal places as…
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 22 20 53 25 19 30 35 23 71 26 36 21 48 25 19 28 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.…
Solve the second one
We give the total variation, the unexplained variation (SSE), and the least squares point estimate b1 . Total variation = 13.459; SSE = 2.806; b1 = 2.6652 Click here for the Excel Data File Using the information given, find the explained variation, the simple coefficient of determination (r2), and the simple correlation coefficient (r). Interpret r2. (Round your answers to 3 decimal places. Round your percent to 1 decimal place.) Explained variation r2 r % of the variation in demand can be explained by variation in price differential.
The scatterplot below shows the relationship between two random variables X and Y. (a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. (b) If, as noted in (a), r = -0.15 then what is the value of the correlation between 2X and 5Y? (c) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a rough sketch of the corresponding residual plot.
A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of alpha equals 0.05. Based on these results, do you get better quality paint by paying more? a. Calculate the test statistic. r s equals (Round to three decimal places as needed.) b. Find the critical values. r s equals plus or minus (Round to three decimal places as needed.)

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