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1. Radioactive atoms are unstable because they have to much energy. When they release their extra energy, they are said to decay. When studying cesium 137, it is found that during the course of decay over 365 days, 1,000,000 radioactive atoms are reduced to 977,287 radioactive atoms.
a) Find the mean number of radioactive atoms lost through decay in a day.
b) Find the probability that on a given day, 50 radioactive atoms decayed.
Most businesses use some form of linear regression in forecasting future conditions. Give an example of the use of regression analysis at your organization. What were the independent and dependent variables?
To test whether there is a significant mean difference among the three.
Using the dataset, produce a graph of per capita GDP for Argentina, China, and Canada from 1965 to 1995. Is inequality between these countries increasing?
Which option produces the smallest risk of a Type I error?
The casino game craps is based on rolling two dice. Here is the assignment of probabilities to the sum of numbers on the up face when two dice are rolled:
The U.S.Census Bureau announced that the median sales price of new homes sold i April 2009 was $221,660, and the mean sales price waas $274,300. Assume that the standard deviation of the prices is $90,000.
Determine the observed p-value for the hypothesis test and interpret this value. What does this mean?
Find a 99% confidence interval for the population mean number of weekly miles.
A group of three students is to be randomly selected froma group of 1 freshman, 1 sophomore, 3 juniors and 3 seniors. Let Y1 and Y2 denote the number of juniors and seniors, a) What is the joint probability distribution for Y1 and Y2?
The mean maximum oxygen uptake for elite athletes has been found to be 80 with a standard deviation of 8.1. Assume that the distribution is approximately normal.
Use Random Number Generation (RNG) in Analysis ToolPak of Excel to generate n = 5 observations from the Normal distribution N(20, 5). Construct the 95% confidence interval for μ.
What is the conditional probability of a manager in the Division of Community Services reporting workplace sexual harassment?
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