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Find the mean and standard deviation of the sample mean and find out the probability for the sample mean lies under Normal distribution.
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank.
a) State the random variable. b) What is the mean of sample mean, µ? c) What is the standard deviation of sample mean, σ? d) Draw the distribution for sample mean. e) What is the probability that the sample mean is within 0.5 inches of claimed population mean? f) What is the probability that sample mean is less than 14 inches? g) assume that you do pull out 36 fish from the tank and they do have a sample mean less than 14 inches, what would you think about the hatchery's claim? Would you continue using this hatchery?
Projection are form the U.S. National Center for Education Statistics>. Create a multiple bar graph of data, and then explain any trends.
To test whether there is any association between two variables using Chi-Square test for independence.
If the estimate is to be within 8 mpg of the true mean with 98% confidence and the estimated standard deviation is 22 mph, how large a sample size must be taken?
Can we compute the mean length of stay of workers at the company differs from the mean length of stay at that dangerous industry.
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.
When would you use hypothesis testing and when would you use confidence intervals?
To find out the prior probability, conditional probability and posterior probability. Calculate the posterior probability that the bid will be successful given a request for additional information.
One approach would be to contact every psychology graduate student you know and ask them to fill out a questionnaire about it.
Using a 1% level of significance, can the hypothesis that the distributions for the student's scores are identical be accepted?
Labor negotiations estimate that 30 percent of all major contract negotiations result in a strike. During the next year, 12 major contracts must be negotiated. Determine the following probabilities.
Compute mean and standard deviation for sample of N = 8 females and sample of N = 8 for males.
Suppose that the number of babies born during an hour at a hospital's maternity wing follows a Poisson distribution with a mean of 4 per hour.
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