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Q3) The standard error of the mean is given by the formula:
σx' = σ /√n
a) Explain what the standard error of the mean represents.
b) Is it possible for the standard error of the mean to be zero? Explain your answer.
c) Does the sampling distribution of x look like a Normal distribution if n is 10?
d) As n increases, what happens to the population variance σ2 ?
M&M Confidence Interval regarding the count of each color of M&M contained in a "fun size" bag of M&Ms for hypothesis testing. Use the traditional hypothesis testing method,
Researchers have determined that patients who are smokers have 18% chance of contracting a serious illness. What is the probability that a given patient if the patient has a serious illness?
General Motors pays for employee education. The HR director would like to conduct a study on the average GPA of employees who have used this benefit to complete their degrees using a sample of education records over the past 10 years.
Let us suppose you have taken 100 samples of size 49 each from normally distributed population. Compute standard deviation of sample means if population's variance is 16. Area to left of ‘z' is 0.9976.
How many more observations are necessary for the efficiency expert to be 95% sure that the point estimate x¯ will be in error from the true mean p by at most 15 seconds and find a 75% confidence interval for the population mean number of cars per su..
Create a 95 % confidence interval for the true mean. Why might normality be the issue here?
20% of their customers purchase package 3 and 25% of their customers purchase package 4. Find the expected value or average profit per customer.
Calculate a -way anova situation. suppose a school psychologist a classroom setting and you want to find the effect that five teaching styles.
Tthe class for an oral exam, what is the probability that female students and male students will be selected? Round your answer to decimal places.
The means of two normally distributed populations, where the unknown population variances are assumed to not be equal. What is the upper confidence limit is?
If writing scores for population have standard deviation of s = 20, does sample give sufficient evidence to conclude that new composition course has significant effect? Suppose a two tailed test with a = 0.05.
Supposing that both tests measure the same kind of ability, who has the higher score? If grading were done on a curve, what would their respective percentages be?
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