(a)
The level of significance, null and alternative hypothesis & determine whether we should use a left-tailed, right-tailed, or two-tailed test.
(a)

Answer to Problem 19P
Solution: The level of significance is
Explanation of Solution
The level of significance is defined as the probability of rejecting the null hypothesis when it is true, it is denoted by
Null hypothesis
Alternative hypothesis
Since
(b)
To find: The sampling distribution that should be used along with assumptions and compute the value of the sample test statistic.
(b)

Answer to Problem 19P
Solution: The sampling distribution of
Explanation of Solution
Calculation:
A | B | |||
21 | 24 | -3 | 0.5625 | |
25 | 23 | 2 | 18.0625 | |
20 | 25 | -5 | 7.5625 | |
14 | 18 | -4 | 3.0625 | |
-4 | 6 | -10 | 60.0625 | |
19 | 4 | 15 | 297.5625 | |
15 | 21 | -6 | 14.0625 | |
30 | 37 | -7 | 22.5625 | |
Sum | 140 | 158 | -18 | 423.5 |
Average | 17.5 | 19.75 | -2.25 | 52.9375 |
The d distribution is mound shaped and symmetrical and we have a random sample of
Using
(c)
To find: The critical value of the test statistic and sketch the sampling distribution showing the critical region.
(c)

Answer to Problem 19P
Solution: The critical value of the test statisticis
Explanation of Solution
Calculation:
The level of significance is
95% of the t-distribution curve lies between -
Using table 4 from Appendix we get
Critical region is
Graph:
To draw the required graphs using the Minitab, follow the below instructions:
Step 1: Go to the Minitab software.
Step 2: Go to Graph > Probability distribution plot > View probability.
Step 3: Select ‘t’ and d.f = 7.
Step 4: Click on the Shaded area > Probability.
Step 5: Select ‘Both tail’ and enter Probability as 0.05.
Step 6: Click on OK.
The obtained distribution graph is:
Interpretation:
If the value of the sample test statistics lies in the critical region then we have to reject the null hypothesis.
(d)
Whether we reject or fail to reject the null hypothesis and whether the data is statistically significant for a level of significance of 0.05.
(d)

Answer to Problem 19P
Solution: The t-value (- 0.82) does not lie in the critical region. The data is not statistically significant for a level of significance of 0.05
Explanation of Solution
The critical regionis
The t-value (- 0.82)does not lie in the critical region. Therefore we don’t have enough evidence to reject the null hypothesis
(e)
The interpretation for the conclusion.
(e)

Answer to Problem 19P
Solution: There is not enough evidence to conclude that the populations mean percentage increase in corporate revenue is different from the population mean percentage increase in CEO salary.
Explanation of Solution
The t-value (- 0.82) does not lie in the critical region. Therefore we don’t have enough evidence to reject the null hypothesis
(f)
The comparison for our conclusion with the conclusion obtained from the P-value method.
(f)

Answer to Problem 19P
Solution: Both the conclusions are same.
Explanation of Solution
The conclusion from the P-value method is:
The P-value of 0.4392 is greater than the level of significance (
Since we are using the same significance level of 0.05, hence both the conclusions will be same.
Want to see more full solutions like this?
Chapter 10 Solutions
EBK UNDERSTANDING BASIC STATISTICS
- Please conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. The data for the following questions is provided in Microsoft Excel file on 4 separate sheets. Please conduct these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to…arrow_forwardPlease conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting null. If alternative is directional (e.g., μ < 75), you should use the lower-tailed p-value. For alternative hypothesis μ > 75, you should use the upper-tailed p-value.) H0 = H1= Conclusion: The p value from one sample t-test is _______. Since the two-tailed p-value is _______ 2. Two-Sample T-Test:…arrow_forwardPlease conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. What is one sample T-test? Give an example of business application of this test? What is Two-Sample T-Test. Give an example of business application of this test? .What is paired T-test. Give an example of business application of this test? What is one way ANOVA test. Give an example of business application of this test? 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not…arrow_forward
- The data for the following questions is provided in Microsoft Excel file on 4 separate sheets. Please conduct a step by step of these statistical tests on separate sheets of Microsoft Excel. If the calculations in Microsoft Excel are incorrect, the null and alternative hypotheses, as well as the conclusions drawn from them, will be meaningless and will not receive any points. What is one sample T-test? Give an example of business application of this test? What is Two-Sample T-Test. Give an example of business application of this test? .What is paired T-test. Give an example of business application of this test? What is one way ANOVA test. Give an example of business application of this test? 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you…arrow_forwardWhat is one sample T-test? Give an example of business application of this test? What is Two-Sample T-Test. Give an example of business application of this test? .What is paired T-test. Give an example of business application of this test? What is one way ANOVA test. Give an example of business application of this test? 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75. (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting null. If alternative is directional (e.g., μ < 75), you should use the lower-tailed p-value. For alternative hypothesis μ > 75, you should use the upper-tailed p-value.) H0 = H1= Conclusion: The p value from one sample t-test is _______. Since the two-tailed p-value…arrow_forward4. Dynamic regression (adapted from Q10.4 in Hyndman & Athanasopoulos) This exercise concerns aus_accommodation: the total quarterly takings from accommodation and the room occupancy level for hotels, motels, and guest houses in Australia, between January 1998 and June 2016. Total quarterly takings are in millions of Australian dollars. a. Perform inflation adjustment for Takings (using the CPI column), creating a new column in the tsibble called Adj Takings. b. For each state, fit a dynamic regression model of Adj Takings with seasonal dummy variables, a piecewise linear time trend with one knot at 2008 Q1, and ARIMA errors. c. What model was fitted for the state of Victoria? Does the time series exhibit constant seasonality? d. Check that the residuals of the model in c) look like white noise.arrow_forward
- ce- 216 Answer the following, using the figures and tables from the age versus bone loss data in 2010 Questions 2 and 12: a. For what ages is it reasonable to use the regression line to predict bone loss? b. Interpret the slope in the context of this wolf X problem. y min ball bas oft c. Using the data from the study, can you say that age causes bone loss? srls to sqota bri vo X 1931s aqsini-Y ST.0 0 Isups Iq nsalst ever tom vam noboslios tsb a ti segood insvla villemari aixs-Yediarrow_forward120 110 110 100 90 80 Total Score Scatterplot of Total Score vs. Putts grit bas 70- 20 25 30 35 40 45 50 Puttsarrow_forward10 15 Answer the following, using the figures and tables from the temperature versus coffee sales data from Questions 1 and 11: a. How many coffees should the manager prepare to make if the temperature is 32°F? b. As the temperature drops, how much more coffee will consumers purchase?ov (Hint: Use the slope.) 21 bru sug c. For what temperature values does the voy marw regression line make the best predictions? al X al 1090391-Yrit,vewolf 30-X Inlog arts bauoxs 268 PART 4 Statistical Studies and the Hunt forarrow_forward
- 18 Using the results from the rainfall versus corn production data in Question 14, answer DOV 15 the following: a. Find and interpret the slope in the con- text of this problem. 79 b. Find the Y-intercept in the context of this problem. alb to sig c. Can the Y-intercept be interpreted here? (.ob or grinisiques xs as 101 gniwollol edt 958 orb sz) asiques sich ed: flow wo PEMAIarrow_forwardVariable Total score (Y) Putts hit (X) Mean. 93.900 35.780 Standard Deviation 7.717 4.554 Correlation 0.896arrow_forward17 Referring to the figures and tables from the golf data in Questions 3 and 13, what hap- pens as you keep increasing X? Does Y increase forever? Explain. comis word ே om zol 6 svari woy wol visy alto su and vibed si s'ablow it bas akiog vino b tad) beil Bopara Aon csu How wod griz -do 30 義arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt


