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An experiment tested the effects of package design and display on the likelihood of purchase of Product 19 cereal Package design and shelf display were varied at two levels each, resulting in a 2 X 2 design. Purchase likelihood was measured on a 7-point scale. The results are partially described in the following table.
Source of Sum of Mean Omega2Variation Squares df Square FPackage design 68.76 1Shelf display 320.19 1Two way interaction 55.05 1Residual error 176.00 40
a) Complete the table by calculating the mean square, F, significance of F, and Omega2 values.
b) How should the main effects be interpreted?
A random sample of 100 oranges is gathered and the mean diameter obtained was 5.12. If another sample of 100 is taken, what is the possibility that its sample mean will be greater than 5.12 inches.
How large sample should be selected in order to obtain p estimate with a bound of 0.08 on the error of estimation.
Test, at the significance level of 0.05, whether the mean bacteria count for the plant discharge exceeds that for the upstream location.
The use of linear regression is a critical tool for a manager's decision-making ability. Please carefully read the example below and try to answer the questions in terms of the problem context.
Significance level to test the claim that less than half (.5) of all executives identify that error as being the most common job interviewing error.
Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y.
Calculate distance in inches that a bicyclist travelling 35 mph moves in 1/125 of a second? Notice the bicyclist is riding along a white line. Suppose the length of this white line captured in a photograph is 14 ft.
The sample standard deviation of the first set of strengths was 8.2 ksi, the second set's S value was 9.8 ksi, and the S value for the 25 differences in strengths was 3.3 ksi.
The average shaft size for the E300 electric motor is .55 inch, with a standard deviation of .10 inch. It is normally distributed. What is the probability that a shaft selected at random will be between .55 and .65 inch?
Test claim that mean responses are same for all populations of patients receiving either treatment and of either gender.
Clinic evaluates that true population standard deviation is around $1,300. If confidence level is 95%, determine the required sample size in order to meet desired accuracy.
Assume a population standard deviation of 350 kilowatt hours. Determine the standard error of the mean. With a 0.95 probability, determine the margin of error or standard error.
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