The following is the ANOVA obtained from a regression analysis: ANOVA Source of Variation REGRESSION ERROR TOTAL Degree of Freedom 1 70 Sum of Squares 14.5 387.7 Mean Squares F-calculated --- Your are interested to evaluate the following hypothesis: Ho: B 1 = B2 ---against--- HA: B1 B2 1. How many observation were used in this experiment? (place your answer in the box below) 2. Evaluate the F calculated for the regression, and indicate if you are going to reject(R) or fail to reject(R) the null hypothesis using an a = 0.05 (R/FR; place your answer right beside the calculated number of treatments)
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- A random sample of 20 newly-born baby boys showed an average weight of 7.40 pounds while a sample of 25 newly-born baby girls showed a mean weight of 6.50 pounds. If the variance of all newly-born babies are 1.25 pounds, can we say that newly-born baby boys are heavier than newly-born baby girls using the 0.05 level?A SAMPLE SIZE OF 36 WAS DRAWN AND ITS MEAN WAS FOUND TO BE 80. TEST WHETHER THIS SAMPLE COULD HAVE COME FROM A NORMAL POPULATION WITH MEAN 90 AND VARIANCE 225?An article about “Relative Controllability of Dissimilar Cars” reported a study in which 14 subjects were asked to parallel-park two cars having very different wheel bases and turning diameter. The time (in seconds) for each subject was recorded and found that the sample mean and sample variance of the difference were 1.21 seconds and 160.7824, respectively. The researcher claims that the population mean difference of time taken is (4.79,7.21) seconds. With what level of confidence can this statement be made?
- From her firm's computer telephone log, an executive found that the mean length of 69 telephone calls during July was 4.91 minutes with a standard deviation of 5.93 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 47 telephone calls whose mean was 2.868 minutes with a standard deviation of 2.840 minutes. (b-1) Obtain a test statistic tcalc and p-value assuming unequal variances. (Use the quick rule to determine degrees of freedom. Round your answers to 3 decimal places.) tcalc p-valueA number of 28 university students who smokes completed a questionnaire inquiring their smoking history and behavior. The result shows that the average smoking initiation age of this group is 21.6 years with a variance of 18.49. Based on past record, the smoking initiation age of university student has a mean of 20.74 years with a standard deviation of 5.1 years. Conduct a necessary analysis to determine if the smoking initiation age remain the same as the previous record. Use 4% level of significance.The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.931. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 210 kilograms and can sprint 10 meters in 2.02 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r (Round to three decimal places a going from 0.931 to - gets stronger, gets weaker, stays the same,
- The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.971. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 210 kilograms and can sprint 10 meters in 2.01 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r going from -0.971 to (Round to three decimal places a gets stronger, gets weaker, stays the same,The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of - 0.958. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 210 kilograms and can sprint 10 meters in 1.99 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. Data Table The new correlation coefficient r going from - 0.958 to (Round to three decimal places as needed.) Maximum weight, x Time, y 175 1.81 185 1.79 155 2.06 210 1.42 155 2.07 195 1.62 190 1.69 165 1.88 195 1.59 180 1.64 165 1.97 175 1.91 210 1.99The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.908. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 205 kilograms and can sprint 10 meters in 1.98 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r (Round to three decimal places as needed.) going from 0.908 to Data table Player 1 Ñ Ñ = 560 000 A W N 10 11 12 13 Print Maximum weight, x Time, y 1.81 1.77 2.04 1.43 2.04 1.61 1.71 1.88 1.59 1.63 1.98 1.91 1.98 170 180 160 205 150 195 180 155 185 175 155 175 205 Done X
- The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.970. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 205 kilograms and can sprint 10 meters in 2.01 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r (Round to three decimal places a Data table Player 1 2 3 4567 8 9 10 11 12 13 going from 0.970 to gets stronger, gets weaker, stays the same, Maximum weight, x Time, y a 1.81 1.76 2.04 1.42 2.06 1.61 1.69 1.92 1.62 1.64 1.99 1.92 2.01 180 175 150 205 150 190 180 160 185 180 155 170 205is 0.80 against the alternative that it is not. (Simple Regression & Correlation] 06. (a) Duracell manufactures batteries that the CEO claims will last an average of 300 hours under normal use. A researcher randomly selected 20 batteries from the production line and tested these batteries. The tested batteries had a mean life span of 270 hours with a standard deviation of 50 hours. Do wehave enough evidence to suggest that the claim of an average li fetime of 300 hours is false? b) Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newbom children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? Ilypothesis TestingThe maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of - 0.959. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 205 kilograms and can sprint 10 meters in 1.99 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r (Round to three decimal places as needed.) going from 0.959 to Data table Player 1 ~ Ñ = ∞ Or A WN 10 12 13 Print Maximum weight, x Time, y 1.78 1.78 2.02 1.41 2.05 1.63 1.69 1.89 1.61 1.66 1.96 1.91 1.99 175 185 150 205 150 195 185 155 195 180 155 165 205 Done D₁ X