Question 1 1 pts An agriculture specialist will conduct a study to investigate whether there is a signicant difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) 68 cows were randomly assigned to the "new" and "old" grain mix feed and given the diet for the next three months. The 34 cows that were fed the new grain mix produced an average of 7.8 gallons per day with a standard deviation of 1.2 gallons per day. The 34 cows that were fed the old grain mix produced an average of 7.4 gallons per day with a standard deviation of 1.8 gallons per day. Let MN represent the mean milk produced by cows with the new grain mix and #0 represent the mean milk produced by cows with the old grain mix. Which of the following represents the null and alternative hypotheses? O HoziuN 75 #0 Ha: \"N = \"'0 0 Ho: MN = #0 Ha: \"N \"'0 O HoIIJ'N = #0 Ha: MN 75 #0 Question 2 1 pts An agriculture specialist will conduct a study to investigate whether there is a signicant difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) 68 cows were randomly assigned to the "new" and \"old" grain mix feed and given the diet for the next three months. The 34 cows that were fed the new grain mix produced an average of 7.8 gallons per day with a standard deviation of 1.2 gallons per day. The 34 cows that were fed the old grain mix produced an average of 7.4 gallons per day with a standard deviation of 1.8 gallons per day. State the model and justify the conditions. Mode| J [Select] A onesample ztest for a population proportion A twosample ztest for a difference between population proportions A one sample ttest for a sample mean A twosample ttest for a difference in population means Normality: [ Select ] Question 2 1 pts An agriculture specialist will conduct a study to investigate whether there is a signicant difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) 68 cows were randomly assigned to the "new" and "old" grain mix feed and given the diet for the next three months. The 34 cows that were fed the new grain mix produced an average of 7.8 gallons per day with a standard deviation of 1.2 gallons per day. The 34 cows that were fed the old grain mix produced an average of 7.4 gallons per day with a standard deviation of 1.8 gallons per day. State the model and justify the conditions. Model: [Select] V Independenc- V [Select] No, the sample sizes are too small ' Yes, The cows were randomly assigned to two groups. Normality: [ Question 2 1 pts An agriculture specialist will conduct a study to investigate whether there is a signicant difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) 68 cows were randomly assigned to the "new" and "old" grain mix feed and given the diet for the next three months. The 34 cows that were fed the new grain mix produced an average of 7.8 gallons per day with a standard deviation of 1.2 gallons per day. The 34 cows that were fed the old grain mix produced an average of 7.4 gallons per day with a standard deviation of 1.8 gallons per day. State the model and justify the conditions. Model: [Select] V Independence: [Select] v J [Select] No, the samples were not random. Yes, each group had over 30 cows Question 3 1 pts An agriculture specialist will conduct a study to investigate whether there is a signicant difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) 68 cows were randomly assigned to the "new" and "old" grain mix feed and given the diet for the next three months. The 34 cows that were fed the new grain mix produced an average of 7.8 gallons per day with a standard deviation of 1.2 gallons per day. The 34 cows that were fed the old grain mix produced an average of 7.4 gallons per day with a standard deviation of 1.8 gallons per day. With a null hypothesis of no difference in the means, which of the following is the test statistic for the appropriate test to investigate whether there is a difference in population means (new grain - old grain)? O t : 7.87.4 E_ 34 34 O t : 7.87.4 1.22 1.82 WE'LE O t : 7.87.4 1.22 +1.82 34+34 O t _ 7.8+7.4 1.22 1.32 _ + _ 34 34 Question 4 1 pts An agriculture specialist will conduct a study to investigate whether there is a signicant difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) 68 cows were randomly assigned to the "new" and "old" grain mix feed and given the diet for the next three months. The 34 cows that were fed the new grain mix produced an average of 7.8 gallons per day with a standard deviation of 1.2 gallons per day. The 34 cows that were fed the old grain mix produced an average of 7.4 gallons per day with a standard deviation of 1.8 gallons per day. With a null hypothesis of no difference in the means, which of the following is the p-value for the appropriate test to investigate whether there is a difference in population means (new grain - old grain)? O p=1.07 O p=0.2855 O p=57.495 Question 5 1 pts An agriculture specialist will conduct a study to investigate whether there is a signicant difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) 68 cows were randomly assigned to the "new" and "old" grain mix feed and given the diet for the next three months. The 34 cows that were fed the new grain mix produced an average of 7.8 gallons per day with a standard deviation of 1.2 gallons per day. The 34 cows that were fed the old grain mix produced an average of 7.4 gallons per day with a standard deviation of 1.8 gallons per day. With a null hypothesis of no difference in the means, at a 0.05 signicance level, which of the following is the appropriate conclusion? 0 Reject H0. There is signicant evidence to suggest that there is a difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) O Reject H0. There is no signicant evidence to suggest that there is a difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) O Fail to reject H0. There is no signicant evidence to suggest that there is a difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) O Fail to reject H0. There is signicant evidence to suggest that there is a difference on average between the number of gallons of milk a cow will produce using a new grain mix feed vs. the old grain mix feed (both along with bales of hay.) Question 6 1 pts An experiment was conducted to determine whether the price of a softball bat affected the distance a player could hit the ball. A sample of 100 players was randomly assigned to two groups. The 50 players in group Awere told that the price of the bat was inexpensive and the 50 players in group B were told that the price of the bat was expensive. In reality, there was no difference in price. Each player was allowed 60 swings against a standardized hitting machine. The distance the ball traveled in feet was recorded for each ball hit and the mean distance was calculated for group A and group B. A two-sample t-test for a difference in means will be conducted. Which of the following statements are true? I. The data were collected using a random assignment II. The data were collected using random selection Ill. The distribution of the difference in sample means will be approximately normal 0 ll only 0 land I" only C) \"I only 0 | only Question 7 1 pts Researchers studied the time it takes for a table of two to state their order in a chain restaurant. Researchers observed randomly selected tables of two from 6 pm to 8 pm in 30 of the restaurants and noted whether the customers were using their cell phones while looking at the menu or not. A two-sample t-test for a difference in means was conducted to investigate whether the mean time to state their order to a waitress/waiter was different for tables with customers using their cell- phones vs customers not using their cell phones while looking over the menu. All conditions for inference were met, and the test produced a test statistic of t=2.758 and a p-value of 0.012 Which of the following is a correct interpretation of the p-value?. 0 Assuming that the mean times are equal for customers using their cell phones vs not using their cell phones, the probability of obtaining a test statistic greater than 2.758 or less than 2.758 is 0.012. 0 Assuming that the mean times for customers using their phones vs. not using their phones are equal, the probability of obtaining a test statistic less than -2.758 is 0.012. 0 Assuming that the mean times for customers using their phones vs. not using their phones are not equal, the probability of obtaining a test statistic less than 2.758 is 0.012. O The probability that the mean time for customers using their phones will be less than that for customers not using their phones is 0.012