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A psychologist was interested in whether different TV shows lead to a more positive outlook on life. People were split into 4 groups and then taken to a room to view a program. The four groups saw: The Muppet Show, Futurama, BBC News, No Program. After the program a blood sample was taken and serotonin levels measured (remember more serotonin means more happy!) Carry out one-way ANOVA by hand to test the hypothesis that some TV shows make people happier than others. State your conclusions.
In the table below you have a summary of the results:
The Muppet Show Futurama BBC News No Program
Sample size 7 6 6 8
Mean 9.43 7.67 3.33 4.75
Variance 8.95 5.87 2.27 2.21
Grand Mean 6.30
Grand Variance 10.06
The null hypothesis is that those attending boot camp have a recidivism rate of 40%, p = 0.40. Report the alternative hypothesis in words and in symbols.
Find an equation of the least squares regression line. Show all work; writing the correct equation, without supporting work, will receive no credit.
In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds.
Express the null hypothesis and the alternative hypothesis in symbolic form. An entomologist writes an article in a scientific journal which claims.
Describe the 5-Step Hypothesis Test for a particular claim related to your work or life environment. (This should be a test of one-sample mean or one-sample proportion.
To check this theory, 20 invoices are randomly selected and 5 are found to have errors. What is the probability that of the 20 invoices written, five or more would contain errors if the theory is valid?
1. In the following situations, indicate whether you'd use the normal distribution, the t distribution, or neither.
The lifetime of a light bulb is an Exponential RV with a mean of 800 hours. Let L represent the time (in hours) that one randomly selected light bulb will burn. What is the possibility the light bulb burns for more than 1000 hours.
The player must pay $4 if she draws a green marble. Find the expected value in the games.
A survey investigating whether the proportion of today's high school seniors who own their own cars is higher than it was a decade ago finds a P-value of 0.017. Is it reasonable to conclude that more high-schoolers have cars? Explain.
What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test? Please match the measures to their correct
Roulette Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots-18 red, 18 black, and 2 green.
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