A swine producer wants to know if the average weight of his pigs is different from the breed average of 230 lb.  He selects a random sample of 16 weights from pigs in his herd and calculates a sample mean of 220 lb and a sample standard deviation of 25 lb.  Assume that he wants to detect departure from 230 lb in either direction and that he uses a significance level of 0.10.  Calculate the value of the test statistic needed to test the null hypothesis.

A human gene carries a certain disease from the mother to the child with a probability rate of 0.70.  That is, there is a 70% chance that the child will get the disease.  Suppose a female carrier of the gene has three children.  Assume that the infections of the three children with the disease are independent of one another.  Find the probability that all three of the children will get the disease from their mother.

A box of Mr. Phipps Tater Crisps is supposed to contain 156 grams of potato chips.  On the side of the box it says “This package is sold by weight, not by volume.  Packed as full as practicable by modern automatic equipment, it contains full net weight indicated.  If it does not appear full when opened, it is because contents have settled during shipping and handling”.  Periodically, the Nabisco Company receives complaints that their boxes of Tater Crisps are not full (i.e., that they contain less than 156 grams of potato chips).  To test this claim, the Nabisco Company randomly samples 10 boxes and finds the average amount of potato chips held by the 10 boxes is 154 grams and the standard deviation is 30 grams. State the null and alternative hypotheses the Nabisco Company wishes to test.

A randomized block design yielded the following Analysis of Variance table:       Source             df        SS                MS                F Total                 14      836       Treatments        4       501       125.25 Blocks                2       225       112.50 Error                  8       110          13.75                      Calculate the F value for blocks and treatments.

Frame score in beef cattle is based on height at the hips and is used as a measure of skeletal size.  Frame scores range from 1 to 10 with a higher number indicating a taller animal.  A randomized block design is used to compare the frame scores of Angus and Simmental calves where the blocks consist of calves of similar ages.  Three blocks are used, where block 1 contains calves that are 320 to 340 days of age, block 2 contains calves that are 341 to 360 days of age, and block 3 contains calves that are 361 to 380 days of age.  The frame scores are as follows:   Angus Simmental Block totals Block 1 5 6 11 Block 2 6 7 13 Block 3 7 8 15 Breed totals 18 21 39 The partially completed ANOVA table for this experiment is as follows: Source   df     SS     MS      F  Total   5.500     Breed   0.167 0.167 0.25 Block   4.000 2.000   Error   1.333 0.667   What are the degrees of freedom for total, breed, block,and error, respectively?

A physical fitness association is including the mile run in its secondary-school fitness test for boys.  The time for this event for boys in secondary school is known to have a normal distribution with a mean of 450 seconds and a standard deviation of 50 seconds.  Find the probability that a randomly selected boy in secondary school can run the mile in less than 370 seconds.

Starting salary and GPA of students who graduate from OSU are examples of ____________ data.

Construct a large-sample 90% confidence interval for the true population proportion if the sample estimate of p is 0.30.  The number of observations in the sample is 100.

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 The store manager performs a regression analysis and derives the following equation. Y =

What are the 3 measures of central tendency?