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Evaluate each expression
1.) 2^3/10-^2 - 2/7^-2
2.) (p^-5)^-9(p^-6)^4/(p^-8)^0(p^4)^-5
3.) 9.3 * 10^-5
4.) 8 * 10^6
5.) 1 * 10^-8/4 * 10^7
6.) Diameter of a circle. If the diameter of a circle is 1.3 * 10^-12 meters, then what is the radius?
Find out the probability
Set up the null and alternative hypotheses for testing these claims. In order to conduct the test, the customer selected a significance level of alpha=.05. Interpret this value. (I.e. what does it mean to conduct the test at a level of alpha=.05)
Which option produces the smallest risk of a Type I error?
Find out the mean sum of squares of the treatment in one way ANOVA.The profits of individual traders in three departments, labelled by A, B and C, in a medium sized firm were recorded on one day.
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are between 40 and 48 cm in length?
Is it necessary to assume a normal distribution on the population to estimate the value of the mean spending per day? Explain.
A company has developed the new battery, but the average lifetime is unknown. In order to estimate the average, a sample of 150 batteries is tested and an average lifetime of this sample is found to be 250 hours.
Statistical Hypothesis testing - Frequency distribution
Given the following ordered data pairs (x, y), compute the value of the linear correlation coefficient r: (2,6) (3,0) (5,15) (5,5) (10,2).
Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who test positive for the disease has a 99% chance of actually having the disease
An analysis of variance was used to evaluate the mean differences from a repeated-measures research study. The results were reported as F(3,24)=6.40.
Suppose 80% of kids who visit a doctor have a fever, and 20% of kids with a fever have a sore throats. What's the probability that a kid who goes to the doctor has a fever and a sore throat?
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