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Question: How have statistics been used inappropriately and what are some examples of when you have seen or heard statistics used inappropriately?
A traffic study at one point on an interstate highway shows that vehicle speeds are normally distributed with a mean of 61.3 mph and a standard deviation of 3.3 mph.
He would like to estimate with .05 of the true proportion with a confidence level of 90%. What is the sample size needed?
Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
Give an example of a hypothesis test you could perform at work or at home. State what the Null and the Alternative hypotheses would be in your test.
For a random sample of 12 days at the Downtown location, the mean number sold was 78.80 and the standard deviation was 14.25. At the .05 significance level, is there a difference in the mean number of hamburgers sold at the two locations?
Explain your findings (including the logic of comparing within-group to between-group population variance estimates, how each of these is figured, and the F distribution).
If a gambler rolls two dice and gets a sum of four, he wins $10; and if he gets a sum of three, he wins $25. The cost to play the game is $5. What is the expectation of this game?
In a water treatment plant, the turbidity level, and is suspected is linearly related to inches of accumulated rainfall in the month, x. The following information related to the waste water plant is available:
Compute the appropriate test statistic to test Ho: p = 80/100 vs. Ha: p > 80/100.
In the game of roulette, a ball is dropped into a spinning wheel, finally landing on one of the wheel's 38 different slots. The wheel has 18 black slots, 18 red slots, 1 green zero, and 1 green double-zero.
If we wanted to shorten the interval of the estimation of the true mean of Saturday sales to a width of $600 in total, what should the size of our sample be to achieve it?
Laura wanted to build a multiple regression model based on advertising expenditures and coffee times price index. Based on the selection of all normal values she obtained the following:
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