A farm supply store manager wants to predict monthly sales, Y, for her company using advertising expenditures, X.  She has collected 10 months of data on past performance as shown in the following table. Advertising expenditures, in thousands of dollars, X Monthly sales, Y XY X2 Y2 1.2 101 121.2 1.44 10,201 0.8 92 73.6 0.64 8,464 1.0 110 110.0 1.00 12,100 1.3 120 156.0 1.69 14,400 0.7 90 63.0 0.49 8,100 0.8 82 65.6 0.64 6,724 1.0 93 93.0 1.00 8,649 0.6 75 45.0 0.36 5,625 0.9 91 81.9 0.81 8,281 1.1 105 115.5 1.21 11,025 TOTAL 9.4 959 924.8 9.28 93,569 Find the Y-intercept of the regression line for the regression of Y on X.

Assume X is a binomial random variable.  If n = 5 and p = 0.10, find P (r > 1 success).

A plant breeder develops a new wheat variety she hopes will yield more in the plains than the three most popular varieties under dry-land farming conditions.  She sets up a randomized block experiment with the three major types of soil in the region – sand, clay, and loam – as the blocks.  She selects a field with each soil type, divides it into four sections, and randomly selects one of the four wheat varieties for planting in each section.  The yields in bushels per acre in each section are shown in the following table. Variety Block A B C D Total Sand 20 21 21 18 80 Clay 25 24 21 20 90 Loam 30 28 22 20 100 Total 75 73 64 58 270 What are the degrees of freedom for total, treatments (i.e., varieties), blocks (i.e., soil types) and error for this randomized block experiment?

It is desired to estimate the proportion of cows conceiving at first service (breeding) in an artificial insemination (AI) program used on a particular farm.  A random sample of 50 cow records is chosen; 30 of these 50 cows conceived at first service.  Construct a 95% confidence interval for the true population proportion of cows conceiving at first service on this farm.  You can assume that large-sample procedures are appropriate.

Find the probability of an observation lying more than z = 1.95 standard deviations above the mean.

A professor in the Department of Animal Sciences wants to estimate the mean weight of the Suffolk breed of lambs shown at the Ohio State Fair in the past five years.  Therefore, he selects a random sample of n = 25 lamb weights and obtains a sample mean of 125 lb and a sample standard deviation of 15 lb.  Construct a 95% confidence interval for the true population mean of the weights of Suffolk lambs shown at the Ohio State Fair in the past five years.

Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine with the following results: Yorkshire          Landrace 8 pigs                    7 pigs 9                            8 10                          9 8                            8 9                            7 10                               54                        39  The correction factor (correction for the mean) in this problem is 786.27272. Calculate the Total Sums of Squares.

You are interested in purchasing a new car.  One of the many points you wish to consider is the resale value of the car after 5 years of ownership.  Since you are particularly interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 90% confidence interval.  You manage to obtain data on 16 recently resold 5-year-old foreign sedans of that model.  These 16 cars were resold at an average price of $10,000 with a standard deviation of $1,500. Estimate the true mean resale value of this model of foreign car using a 90% confidence interval.

A plant breeder develops a new wheat variety she hopes will yield more in the plains than the three most popular varieties under dry-land farming conditions.  She sets up a randomized block experiment with the three major types of soil in the region – sand, clay, and loam – as the blocks.  She selects a field with each soil type, divides it into four sections, and randomly selects one of the four wheat varieties for planting in each section.  The yields in bushels per acre in each section are shown in the following table. Variety Block A B C D Total Sand 20 21 21 18 80 Clay 25 24 21 20 90 Loam 30 28 22 20 100 Total 75 73 64 58 270 The correction factor for this Analysis of Variance is 6,075 and the total sums of squares is 141. What is the correct conclusion regarding varieties (i.e., treatments) in this randomized block experiment?

Assume that you own a herd of Bison.  By plotting the birth weights of the calves born in your herd in the spring calving season, you determine that the distribution of birth weights was symmetric and mound-shaped with a mean of 80 lb and a standard deviation of 10 lb.  You would expect that approximately 95% of the calves born in your herd during the spring calving season would have birth weights between __________ and __________ lb.