Minitab Final Exam

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Saint Paul College *

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201

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Statistics

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Feb 20, 2024

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7

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Minitab Final Exam Name: __Ikran Ahmed________________ Please make sure you fill in all information that is being asked for. Type your answers, answer questions with at least one complete sentence and change the color of your answers so they are easily seen. Copy and paste the graphs that you are asked to create into this document. 1. Open the CARS data set. a. Create a histogram for the column HIGHWAY, which contains fuel consumption in miles per gallon. You should create a separate histogram for the 3 SIZE categories. You will need to click Groups Displayed Separately under One Y Variable and then click OK. In the next box you will need to have HIGHWAY (C9) in the box for Y-Variable and SIZE (C2) for the Group variables. Make sure that you have In a separate panels of one graph selected in the dropdown menu for Display groups: and then click OK. Paste your histogram below.
b. What differences do you see between the 3 size categories? i. The smaller size takes up more fuel consumption. Larger takes less while the medium size are in the middle for fuel consumption. c. From the histogram that you created do the 3 size categories appear to have the same fuel consumption rates? i. No, larger cars have less fuel consumption and smaller cars use more. d. Use One-way ANOVA to determine if the mean fuel consumption rates are all equal for the 3 size categories or if at least one of the mean fuel consumption rates are different. Use a 0.05 significance level. Since all of the data is in one column you will need to make sure you have “Response data are in one column for all factor levels” with HIGHWAY for the “Response” and SIZE for the “Factor”. Copy and paste your Minitab output into this document in the space provided below. Type the answers in the space provided below. Do not round your answers.
Test Statistic: 11.61 P-value:0.001 Are all the means equal or is at least 1 of them different? Not all the means are not equal. Paste the Minitab output (only the Analysis of Variance output) here: a. ANOVA gives you a lot of information. From your ANOVA results give the following. Round all numbers to one decimal place. Large Midsize Small Mean 25.1 29.0 33.1 Standard Deviation 1.7 1.8 4.8 95% Confidence Interval 22.7,27.6 26.5,31.5 30.7,35.6 1. Open the BEARS data set. a. Create a scatter plot of the WEIGHT vs CHEST data. Paste your scatter plot below.
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b. Based on the scatter plot, does there appear to be a relationship between the chest sizes of bears and their weights? If so, what is it, linear or some other type of correlation? There seems to be a relationship between the chest size of a bear and their weights. It looks like a linear corelation. c. What is the correlation coefficient r? Round to 3 decimal places. The correlation coefficient r = 0.963. a. Assuming a 0.05 level of significance, what do you conclude about linear correlation between chest size and weights of bears (in other words, is there linear correlation between chest size and weights of bears)? Justify your answer using either a p-value or critical value. The sample size is 54. P-value = 0.000. Since the P-value is less than the significance level of 0.05 we conclude that there is a linear relationship between weight and chest. b. What is the equation of the regression line? Using CHEST as the predictor variable, and use WEIGHT as the response variable. Round both numbers to one decimal place.
WEIGHT= -264.5 + 12.5 CHEST a. What is the best predicted weight of a bear with a chest size of 36.0 inches? Round to one decimal place. 185.5 b. When trying to obtain measurements from an anesthetized bear, what is a practical advantage of being able to predict the bear’s weight using its chest size? The practical advantage is we do not need to weigh the bear to measure the weight but we can only measure the chest and estimate the weight. 2. For a recent year, the following are numbers of homicides that occurred each month in New York City: 38, 30, 46, 40, 46, 49, 47, 50, 50, 42, 37, 37. Use a 0.05 significance level to test the claim that homicides in New York City are equally likely for each of the 12 months. Copy and paste the Mintiab output in the space provided below. Type the answers in the spaces provided below. Do not round the test statistic or p-value. Test Statistic: 10.375 P-value: 0.497 Are homicides in New York City equally likely for each of the 12 months? Since the p-Value is greater than significance level therefore we fail to reject and conclude that homicides in New York City are equally likely for each of the 12 months. Paste the Minitab output (only the Chi-Square Test output) here:
Chi-Square Test N DF Chi-Sq P-Value 51 2 11 10.375 0.497 1. The table below summarizes challenges made by tennis players in the first U.S. Open that used the Hawk-Eye electronic instant replay system. Use a 0.05 significance level to test the claim that success in challenges is independent of the gender of the player. Does either gender appear to be more successful? Copy and paste the Mintiab output in the space provided below. Type the answers in the spaces provided below. Do not round the test statistic or p-value. Was the challenge to the call successful? Yes No Men 201 288 Women 126 224 Test Statistic: 2.235 P-value: 0.135 Is success in challenges independent of the gender of the player? Success in challenges is not independent of the gender of the player. Paste the Minitab output (only the Chi-Square Test output) here: Chi-Square Test Chi-Square DF P-Value Pearson 2.235 1 0.135 Likelihood Ratio 2.242 1 0.134
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