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Problem-1:
You want to prove that a population mean is not 7. Data is ratio and a large sample size will be used (n = 225). When the sample is done the sample mean is computed to be 7.2 and the sample standard deviation is 1.5. Test the hypothesis using an alpha of 5%. Use formal hypothesis testing and compute the p-value.
Problem-2:
An associate asks for your help in deciphering the following Anova table, indicating that a test of means was performed. Unfortunately the person leaves before you can get any further explanation or detail, but you know the results must be presented before senior staff within twenty minutes!
Use the formal 5-step hypothesis testing model to describe the test.
ANOVA
Source of Variation SS df MS F Statistic P-value F critical
Between Groups 700.0 2 350.0 4.00 0.0288 3.32
Within Groups 2625.0 30 87.5
Total 3325.0 32
A shoe salesman want to see if his female customers have a preference in the color of shoe purchased. What is the test value for the following data?
Set up a null and alternative hypothesis to test whether this sample is falling below expectations.
Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer.
A random sample of eight adults aged 30 years were asked how much they spent on medical costs in the year 2011. The following data were measured. Compute the sample standard deviation.
Assume that 12 percent of adults in this country have filed for bankruptcy at some point in their life.
According to the U.S National Center for Health Statistics, the mean height for adult American males is mu = 65.5 inches. Assume the heights are normally distributed with standard deviation of sigma = 3.2.
"You are running a chi-squared test. If you have 5 groups with 3 characteristics each, what would your critical value be with an alpha of .25? a . Between 0 and 3.0
During a professor's office hours, students arrive, on average, every ten minutes. Assume that the distribution of the time between arrivals follows an exponential distribution. Suppose that a student has just left.
In exercise identify (a) sample and (b) population. Also, find whether sample is likely to be representative of population.
You have been asked to help plan a data collection process to answer the two problem areas. Briefly outline a plan to: Collect qualitative data about how the current services are delivered
Estimating the individual score using normal distribution - blood pressure higher than what amount?
A pair of dice is tossed once. Let X denote the sum of the face values, and let Y denote the absolute value of the difference between the face values.
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