The variables, quantitative or qualitative, that are related to a response variable are called:
Blog
A randomized block design is used to compare litter sizes of…
A randomized block design is used to compare litter sizes of the Yorkshire and Duroc breeds of sows. Blocking is used in an attempt to remove the effects of sow age, since it is known that sow age influences litter size. Each block contains sows of similar ages. The data collected for this experiment are as follows: Yorkshire Duroc Block totals Block 1 9 pigs 7 pigs 16 pigs Block 2 10 8 18 Block 3 11 9 20 Block 4 13 10 23 Totals 43 34 77 The partially completed ANOVA table for this experiment is as follows: Source df SS MS F Total 23.875 Breed 10.125 10.125 81.0 Block 13.375 Error 0.375 Calculate the mean square for blocks and the mean square for error and then calculate the F statistic for blocks. Do the block means differ (i.e., was blocking effective in removing variation in litter size)? Use a significance level of α = 0.05.
Assume that we have 60 plots of ground and that we want to s…
Assume that we have 60 plots of ground and that we want to select a random sample of 6 plots for an experiment. We use row 8 of a random number table and go from left to right across the row of random numbers: 96301 91977 05463 07972 18876 20922 94595 56869 69014 60045 18425 84903 42508 32307 Which 6 plots do we include in our random sample?
An insurance company states that their claim office is able…
An insurance company states that their claim office is able to process all death claims for cattle within 5 working days. Recently there have been several complaints that it took longer than 5 days to process a claim. Top management sets up a statistical test with a null hypothesis that the average time for processing a claim is 5 days and an alternative hypothesis that the average time for processing a claim is greater than 5 days. After completing the statistical test, it is concluded that the average exceeds 5 days. However, it is eventually learned that the mean processing time really is 5 days. What type of error occurred in the statistical test?
A severe drought has affected several western states in rece…
A severe drought has affected several western states in recent years. A Christmas tree farmer is worried about the drought’s effect on the size of his trees. To determine whether the growth of his trees has been reduced by the drought, the farmer decides to take a sample of the heights of 6 trees and obtains the following results (recorded in inches): Tree Height 1 60 2 57 3 62 4 69 5 46 6 54 Find the median of the heights of this sample of 6 trees.
One difference between a randomized block experiment and a f…
One difference between a randomized block experiment and a factorial experiment is that a randomized block experiment only has one observation per cell, whereas a factorial experiment almost always has more than one observation per cell.
The Central Limit Theorem states: Consider a random sample…
The Central Limit Theorem states: Consider a random sample of n observations selected from any population with mean μ and standard deviation σ. If the sample size is sufficiently large, then the sampling distribution of the sample mean (X-bar) will be approximately a normal distribution with mean ________ and standard deviation _______.
The average height of a certain ornamental plant is 14 inche…
The average height of a certain ornamental plant is 14 inches and the standard deviation of the heights is 2 inches. Only 20% of the plants are expected to be less than X inches tall. Find the value of X.
If we roll a single die, the sample points are 1, 2, 3, 4, 5…
If we roll a single die, the sample points are 1, 2, 3, 4, 5, or 6. Consider the following two events: Event A: toss an even number on the die Event B: toss a number less than or equal to 3 on the die List the sample points that would be included in the union of events A and B (i.e., A U B).
If the lower quartile is farther from the median than the up…
If the lower quartile is farther from the median than the upper quartile, the distribution of data is