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Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $170 and a sample of 25 automobiles 2 years old showed a sample standard deviation for annual repair cost of $100
a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.
b. At a .01 level of significance, what is your conclusion? What is the p-value? Discuss the reasonableness of your findings.
The Wall Street Journal reported some interesting statistics on the job market. One statistic is that 40% of all workers say they would change jobs for "slightly higher pay."
A report on the U.S. economy indicates that 28% of Americans have experienced difficulty in making mortgage payments. A news organization randomly sampled 400 Americans from 10 cities named the "fastest dying cities in the U.S."
A sample of 20 is taken, resulting in a mean of 16.45 and standard deviation of 3.59. Assume that x is normally distributed and used alpha of 0.5 to test hypotheses.
Type the above data into the SPSS Data Editor window, or save this file as an unformatted text file and write SPSS syntax to read it in.
In testing a new drug, researchers found that 20% of all patients using it will have a mild side effect. A random sample of 15 patients using the drug is selected. Find the probability that:
To test whether the significant difference between two proportion test using large sample test.
Construct an appropriate control chart and comment on the process.
PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC
If a random sample of 10 people found that 9 were pro-life (i.e., 90%), while another random sample of 1000 people from the same population found that 550 were pro-life (i.e. 55%), which would you find to be more significant? Why?
A researcher tested the reading ability of two groups of primary care patients. The scores on the test range from 1 to 9 with 9 indicating a high degree of reading ability and 1 very limited reading ability.
The U.S. Commission of Crime wishes to estimate the fraction of crimes related to firearms in an area with one of the highest crime rates in the country.
Use a scatter plot to determine the relationship between the x values and the y values.
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