formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) H Ix X C 0*0 U ローロ OS
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- Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Times Late/ Final Exam Absent Grade 9 84.00 92.50 12 52.00 5 87.00 11 75.00 24 45.00 39.00 10 46.00 19 63.00 2 65.00 2 98.00 17 24.50 8 58.00 20 69.50 55 49.00 23 68.50 70.00 4 75.50 2 85.00 97.00 2 97.00 2 93.50 93.50 2 78.00 2 86.00 2 88.00 Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable? Question 2: Using Microsoft Excel: (Excel file Assignment10.xlsx) SHOW YOUR WORK а. Count the number of XY variables. b. Calculate the mean and sample standard deviation of both the independent and…Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Times Late/ Final Exam Absent Grade 9 84.00 2 92.50 12 52.00 5 87.00 11 75.00 24 45.00 7 39.00 10 46.00 19 63.00 2 65.00 2 98.00 17 24.50 8 58.00 20 69.50 55 49.00 23 68.50 70.00 4 75.50 85.00 7 97.00 2 97.00 93.50 93.50 2 78.00 2 86.00 2 88.00 Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable?A dietician is researching two new weight gain supplements that have just hit the market: Ripped and Gainz. She wants to determine if there is any difference between the two supplements in the mean amount of weight gained (in kg) by the people who take them. The dietician tracks the total weight gain (in kg) over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz. (These samples are chosen independently.) For the people taking Ripped, their sample mean is 10.59 with a sample variance of 6.29. For the people taking Gainz, their sample mean is 9.44 with a sample variance of 1.06. Assume that the two populations of weight gains are approximately normally distributed. Can the dietician conclude, at the 0.10 level of significance, that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the weights gained by people taking Gainz? Perform a two-tailed test. Then complete the…
- A dietician is researching two new weight gain supplements that have just hit the market: Ripped and Gainz. She wants to determine if there is any difference between the two supplements in the mean amount of weight gained (in kg) by the people who take them. The dietician tracks the total weight gain (in kg) over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz. (These samples are chosen independently.) For the people taking Ripped, their sample mean is 10.59 with a sample variance of 6.29. For the people taking Gainz, their sample mean is 9.44 with a sample variance of 1.06. Assume that the two populations of weight gains are approximately normally distributed. Can the dietician conclude, at the 0.10 level of significance, that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the weights gained by people taking Gainz? Perform a two-tailed test. Then complete the…A dietician is researching two new weight gain supplements that have just hit the market: Ripped and Gainz. She wants to determine if there is any difference between the two supplements in the mean amount of weight gained (in kg) by the people who take them. The dietician tracks the total weight gain (in kg) over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Calculator (These samples are chosen independently.) For the people taking Ripped, their sample mean is 9.76 with a sample variance of 11.67. For the people taking Gainz, their sample mean is 7.84 with a sample variance of 1.38. Assume that the two populations of weight gains are approximately normally distributed. Can the dietician conclude, at the 0.10 level of significance, that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the weights gained by people taking Gainz? Perform a two-tailed test. Then complete…The university data center has two main computers: computer 1 and computer 2. A new routine has recently been written for computer 1 to handle its tasks, while computer 2 is still using the preexisting routine. The center wants to determine if the processing time for computer 1's tasks is now less than that of computer 2. A random sample of 8 processing times from computer 1 showed a mean of 45 seconds with a standard deviation of 19 seconds, while a random sample of 10 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 54 seconds with a standard deviation of 15 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that u, the mean processing time of computer 1, is less than , the mean processing time of computer 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate…
- Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, and another random sample of 16 gears from the second supplier results in x2 = 307 and s2 = 22. Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 10 foot-pounds higher than that of supplier 1, find the tcalc value? Please report your answer upto 3 decimal places.The university data center has two main computers: computer 1 and computer 2. A new routine has recently been written for computer 1 to handle its tasks, while computer 2 is still using the preexisting routine. The center wants to determine if the processing time for computer 1's tasks is now less than that of computer 2. A random sample of 15 processing times from computer 1 showed a mean of 56 seconds with a standard deviation of 15 seconds, while a random sample of 13 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 70 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.10 level of significance, that u,, the mean processing time of computer 1, is less than µ,, the mean processing time of computer 2? Perform a one-tailed test. Then complete the parts below. Carry your…The q researcher who was working on the study from the data set labeled "Type of Bike 1" decided that the variability within the two groups was too large. To handle this issue, she decided to pair by rider. She took one random sample of 17 riders and allowed each rider to use both a carbon- framed bike and a steel-framed bike. In addition, on the day each individual was to ride, she flipped a coin to see which bike the rider would use on the first of the two rides. The same variable (time to Mason in minutes from a distance three miles away) was recorded for each rider using both types of bikes. We are still testing the claim that a difference exists in the mean time it takes to ride to Mason from the distance of three miles away for different bike frame types. The data set is called "Type of Bike 2" and we will use α = 0.05 in this investigation. - Define the population parameter in context in one sentence. - State the null and alternative hypotheses using correct notation.
- The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 11 processing times from computer 1 showed a mean of 67 seconds with a standard deviation of 15 seconds, while a random sample of 15 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 58 seconds with a standard deviation of 16 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that the mean processing time of computer 1, μ1, is greater than the mean processing time of computer 2, μ2? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis:…The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 9 processing times from computer 1 showed a mean of 78 seconds with a standard deviation of 17 seconds, while a random sample of 12 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 65 seconds with a standard deviation of 16 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.10 level of significance, that the mean processing time of computer 1, μ1, is greater than the mean processing time of computer 2, μ2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. a. State the null hypothesis H0 and the…The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 8 processing times from computer 1 showed a mean of 79 seconds with a standard deviation of 18 seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 60 seconds with a standard deviation of 15 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that the mean processing time of computer 1, μ1, differs from the mean processing time of computer 2, μ2? Perform a two-tailed test. Then complete the parts below.