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1) The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.
1. What is the value of the population mean? What is the best estimate of this value?
2. Explain why we need to use the t distribution. What assumption do you need to make?
3. For a 90 percent confidence interval, what is the value of t?
4. Develop the 90 percent confidence interval for the population mean.
5. Would it be reasonable to conclude that the population mean is 63 pounds?
2) A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the weight of the boxes, a few were checked. The mean weight was 20.4 pounds, the standard deviation 0.5 pounds. How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?
Mike works in a quality at a well known saw blade company. An inpsector on his team has uncovered an issue with the kerf dimension on the bandsaw blade line.
Describe the "third variable problem" as it relates to correlation and provide an example of how you might see this played out in your own field.
Regarding four scales referring to levels of measurement: Nominal, Ordinal, Interval and Ratio. Please pick one and discuss one level of measurement, and briefly describe how you would use that type of measurement in a study.
The data given below are taken from two independent samples collected randomly. What is the value of test statistics?
Describe the similarities between an F-ratio and a t statistic. The basic relationship between t statistic and F-ratios can be stated in an equation. What is that equation?
There are four conditions/requirements that must be met in order to perform simple linear regression. For each of the conditions below, choose the technique that should be used to determine whether or not that the condition is met.(Each answer ma..
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order autoregressive model.
A deck of 52 cards is dealt face up in a row. What is the probability that all 4 aces and all 4 kings are adjacent (but in any order)?
A sample of n = 5 scores has a mean of M = 12. If one person with a score of X = 8 is removed from the sample, what will be the value of the new mean?
ANOVA is a powerful statistical test. How does ANOVA differ from other parametric tests? What are the conditions that must be met to use a one-way ANOVA?
Based on the custom "rule-of-thumb" for estimating the standard deviation, if the range of prices for a product sold in Kansas City is between $99 and $349, an estimate of the standard deviation of the prices would be about:
In a study designed to test the effectiveness of acupuncture for treating migraine, 142 subjects were treated with acupuncture and 80 subjects were given a sham treatment. The numbers of migraine attacks for the acupuncture treatment group had a m..
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