State your conclusion
As a 4-H project, Billy is raising chickens. He feeds and waters them every day, and collects the eggs every other day, selling them to people in the neighborhood.
He has found that each hen's nest will contain from 0 to 2 eggs. Based on past experience he estimates that there will be no eggs in 10 of the nests, one egg in 30 of the nests, and 2 eggs in the other 60. Conduct a simulation to estimate how many nests Billy will have to visit to collect a dozen eggs.
Q. 2To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed.
The FDA tests on this cigarette yielded mean nicotine content of 26.5 milligrams and standard deviation of 2.6 milligrams for a sample of n=9 cigarettes. Construct a 90 confidence interval for the mean nicotine content of this brand of cigarette.
A) 26.5 1.589 B) 26.5 1.612 C) 26.5 1.685 D) 26.5 1.710
Q. 3Show three trials by clearly labeling the random number table given below. Specify the outcome for each trial.
37542 04805 64894 74296 24805 24037 20636 10402 00822
08422 68953 19645 09303 23209 02560 15953 34764 35080
99019 02529 09376 70715 38311 31165 88676 74397 04436
12807 99970 80157 36147 64032 36653 98951 16877 12171
Q. 4In a study to determine the least amount of time necessary to clean an SUV while maintaining a high quality standard, the owner of a chain of car washes designed an experiment where 20 employees were divided into four groups, each with five members.
Each member of each group was assigned an SUV to clean within a certain time limit. The time limits for the groups were 20 minutes, 25 minutes, 30 minutes, and 35 minutes. After the time limits for each group had expired, the owner inspected each SUV and rated the quality of the cleaning job on a scale of 1 to 10. What are the factor levels for this study?
A) the number of employees in each group: 5 B) the time limits: 20 min, 25 min, 30 min, 35 min
C) the number of groups: 4 D) the quality ratings: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Q. 5In a test of H0: = 70 against Ha: 70, the sample data yielded the test statistic z = 2.11. Find and interpret the p-value for the test.
What will be an ideal response?
Q. 6According to a published study, 1 in every 6 men has been involved in a minor traffic accident. Suppose we have randomly and independently sampled twenty-five men and asked each whether he has been involved in a minor traffic accident.
How many of the 25 men do we expect to have never been involved in a minor traffic accident? Round to the nearest whole number.
A) 25 B) 4 C) 6 D) 21
Q. 7In a test of H0: = 65 against Ha: > 65, the sample data yielded the test statistic z = 1.38. Find and interpret the p-value for the test.
What will be an ideal response?
Q. 8__________ is a particular combination of levels of the factors involved in a study.
A) The factor level B) A treatment
C) An analysis of variance D) The sampling design