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Computing the probability values using normal distribution.
Laboratory rats commit an average of µ = 40 errors before they solve a standardized maze problem. The distribution of error scores is approximately normal with a standard deviation of σ = 8. A research is testing the effect of a new dietary supplement on intelligence. A newborn rat is selected and is given the supplement daily until it reaches maturity. The rat is then tested on the maze and finishes with a total of X = 24 errors.
1. What is the probability that a regular rat (without the supplement) would solve the maze with a score less than or equal to X = 24 errors? 2. Is it reasonable to conclude that the rat with the supplement is smarter than the vast majority of regular rats? 3. Does it appear that the supplement has an effect on intelligence? Explain your answer.
What is the probability that a person who has submitted one entry will win the following?
Find the probability that in a given year,a) Exactly one major hurricane will strike the U.S. mainland
A state-wide sample survey is to be made. First, the state is subdivided into counties. Seven counties are selected at random and further sampling is concentrated on these seven counties.
Explain how many cars would required to go by the speed trap to be 99.8% sure which at least one driver will warm oncoming traffic of the speed trap.
Find a 99% confidence interval for the difference in the mean number of calls between night and day.
At 0.05 level of significance, is there enough evidence to conclude that difference exists between proportion of students who have ear infections at one school and the other?
A business owner decides to use a binomial distribution to solve one of his problems.
Calculate the 95% confidence interval for the rate of positive tuberculin reaction separately for each of the two subpopulation, those with high exposure and those with low exposure.
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
If the standard deviation of the amount of coffee dispensed is 0.4oz and the amount of coffee dispensed is normally distributed.
Use a .10 level of significance to test the claim that the variance of all scores in the population is more than 9.
The standard deviation of the sample is $3,000. Interpret your findings.
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