The person in charge of genetic evaluation of beef cattle wants to know if birth weights of calves are influenced by breed and if they are influenced by the region of the U.S. (i.e., Northern U.S. vs Southern U.S.) in which the calf is born. She has heard that calves born in the South are usually lighter at birth than are calves born in the North. In order to answer these questions, she sets up a 2 x 3 factorial experiment with 3 replications and obtains the birth weights (in pounds) shown in the following table: Angus Charolais Simmental North 85 93 91 85 92 92 83 94 92 South 85 84 82 76 85 83 74 83 83 The partially completed ANOVA table is as follows: Source df SS MS F Total 548.00 Location Breed 174.33 87.165 13.643 Location x breed 9.00 4.500 Error State the null and alternative hypothesis for location. Using a significance level of α = 0.05, do you reject or not reject the Ho?
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A state energy agency mailed questionnaires on energy conser…
A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in Columbus. Suppose an experiment consists of randomly selecting one of the returned questionnaires. Consider the events: Event A: the home is constructed of brick Event B: the home is more than 30 years old Event C: the home is heated with oil A home that is constructed of brick and is less than or equal to 30 years old would be represented by which one of the following?
A population of rabbits has a mean weight of 12 lb with a st…
A population of rabbits has a mean weight of 12 lb with a standard deviation of 3 lb. A rabbit breeder selects 1,000 samples of 36 rabbits each from this population, calculates the mean weight of the rabbits in each of these 1,000 samples, and then graphs the 1,000 sample means. The mean of these 1,000 sample means is expected to be equal to:
A perfect negative correlation between variables X and Y ind…
A perfect negative correlation between variables X and Y indicates that the correlation between these two variables is equal to __________.
Find the area under the normal curve between z = -1.25 and z…
Find the area under the normal curve between z = -1.25 and z = 1.75.
If an interaction exists in a factorial experiment, tests of…
If an interaction exists in a factorial experiment, tests of the main effects are not relevant, because differences in the mean levels of factor A are not the same across all levels of factor B.
The mean length of time required to complete a 5K race was 2…
The mean length of time required to complete a 5K race was 20 minutes. The standard deviation of the times was 4 minutes. The racing times were approximately normally distributed. What is the probability that a randomly selected runner completed the race in less than 16 minutes?
A Randomized Block Design is used to compare fleece weights…
A Randomized Block Design is used to compare fleece weights of three breeds of sheep – Merino, Suffolk, and Dorset (we can think of the three breeds as being the three treatments). The sheep are divided into two weight classes (i.e., two blocks). Block one contains sheep weighing less than 150 lb and block two contains sheep weighing more than 150 lb. The fleece weights (in pounds) are as follows: Merino Suffolk Dorset Block 1 13 8 9 Block 2 14 9 11 The partially completed ANOVA table for this experiment is as follows: Source df SS MS F Total 29.33333 Breed 26.33333 13.16667 79.00003 Block Error 0.33333 0.16667 The correct degrees of freedom for total, breed, block, and error, respectively are:
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.
Find the standard deviation of a binomial probability distri…
Find the standard deviation of a binomial probability distribution with a sample size of n = 40 and a probability of success of 0.40.