(a) State the null hypothesis H. and the alternative hypothesis H₁. Ho: O H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: Chi-Square Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) At the 0.05 level, can the consumer group conclude that mean tread wear of Brand 2 exceeds that of Brand 1? H Ix X a S X Р 0
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- Par, Inc., is a major manufacturer of golf equipment. Management believes that Par's market share could be increased with the introduction of a cut-resistant,longer-lasting golf ball. Therefore, the research group at Par has been investigating a new golf ball coating designed to resist cuts and provide a more durable ball. The tests with the coating have been promising. One of the researchers voiced concern about the effect of the new coating on driving distances. Par would like the new cut-resistant ball to offer driving distances comparable to those of the current-model golf ball. To compare the driving distances for the two balls,40 balls of both the new and current models were subjected to distance tests. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the two models. The results of the tests, with distances measured to the nearest yard, follow. These data are…Par, Inc., is a major manufacturer of golf equipment. Management believes that Par's market share could be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, the research group at Par has been investigating a new golf ball coating designed to resist cuts and provide a more durable ball. The tests with the coating have been promising. One of the researchers voiced concern about the effect of the new coating on driving distances. Par would like the new cut-resistant ball to offer driving distances comparable to those of the current-model golf ball. To compare the driving distances for the two balls, 40 balls of both the new and current models were subjected to distance tests. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the two models. Prepare a managerial report that investigates the effect of the new coating on driving…The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independentvariable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.17 and the slope is 0.01. If the actual number of labor hours for moving 485 cubic feet is 45.72. What is the error of prediction? Hint: Provide answer accurate to 2 decimal places.
- Your company harvests trees and plants saplings for the future crops. Current practice is to add a treatment to the soil to support growth. One of the manufacturers of the treatment chemical has indicated there will be an extremely sharp increase in the price, and you need to determine if it is worth the company’s investment to continue the old protocol. Your data suggests that the average height of a 5-month-old sapling treated with the chemical is 58.2-cm. You collect data on n=19 saplings that have not been treated, and the average height after 5-months is x=56.1 (with a standard deviation of s=5.4). Use a hypothesis test to argue whether or not lack of treatment caused the decline in size. Calculate the P-value for this hypothesis test: P-value: pThe defending attorney Mr. Justin Case was interested in how a lengthy trial could affect howlong a jury would deliberate on a case (and see if he should just cut to the chase). He observed asample of courtroom trials and noticed the following:Days inTrial (X) 5 2 6 4 5 6 2 4 2 1 HoursDeliberation (Y) 4 4 1 3 1 3 9 2 3 7 5) Mr. Case’s client’s most recent case took 10 days to complete. How long should he \ predict the jury deliberation will take?when the regression line passes through the origin then
- The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the tw types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in different measurements. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. E Click the icon to view the data table. Construct a 95% confidence interval to judge whether the two indenters result in different measurements, where the differences are computed as 'diamond…You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding. In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road. Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of…Create the regression equations based on the research model below!
- The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.24 and the slope is 0.03. What is the predicted number of labor hours for moving 484 cubic feet? Hint: Provide your answer accurate to 2 decimal places.The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portion of the hours worked. If the sum of squares Y is 1,513.32 and the sum of squares error is 176.22. What proportion of variation in labor hours is explained by the number of cubic feet moved? Hint: Provide answer accurate to 4 decimal places.What is the significance of R and R2 in gression model?