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Q1) Sample standard deviation from 15 measurements was 0.0083 grams.
a) Does measurement standard deviation vary from 0.01 grams at (alpha)=o.o5? Determine the P value for this test.
b) Explain how part a could be replied by building confidence interval for standard deviation.
Q2) Assume you randomly select sample of 50 observations from normal distribution. You then use those observations to evaluate the mean of population. Evaluate probability that you would be wrong in concluding that population mean is not equal to 160 given that sample standard deviation was found to be 2.1. (Hint: this is equivalent to saying, "determine the probability that we would reject null hypothesis given that it is true?")
Consider the following stemplot. The mean of the data represented in this stemplot ?
A professor of math refutes the claim that the average student spends 3 hours studying for the midterm exam. Which hypothesis is used to test the claim?
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
Evaluate true mean delivery time to within 5 minutes at 90% reliability level? Suppose that standard deviation for delivery times is 18.2 minutes.
Give all steps of a test of the hypothesis that the corresponding population proportions are equal.
Then explain your answer to someone who has never had course in statistics (but who is familiar with mean, standard deviation, and Z scores.)
Write the null and alternative hypotheses you would use to test the following situation.
Create a set of n observations from the binomial distribution with 1 trial and the event probability of 0.007, where n is your answer.
Gas consumption of 3 cars (labeled car A, car B, and car C) using 4 different kinds of gasoline. Is there difference among kinds of gasoline?
Let Y be the number of envelopes for which the machine fails to remove a check. Using the Central Limit Theorem to approximate P{Y≤10}.
Describe and analyze your quantitative data and Briefly address the data analysis process.
Such things as historical documents, newspaper reports, TV and radio broadcasts, when used in research, represents
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