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In this case, the Central Limit Theorem states that the sample mean from a simple random sample from a large population should have an approximate Normal distribution with the se(Y ) = n . The se of Y measures the variability of Y around the true population mean when different samples of the same size are taken. Note that the variability of the sample mean is LESS than that of individual observations Does this makes sense?
What are the null and alternative hypotheses to test if the new battery has longer life than the old battery? Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.
If desired confidence level is 95 percent, suitable critical value is?
A developmental psychologist is studying memory development in children. He is interested in determining the exact age at which children began to recall long-term episodic memories.
A standard deviation of 8. If 100 people are randomly selected, find the probability that their mean blood pressure will be greater than 122.
Use Bayes's rule to find the conditional probability that Julianne is a carrier, given that she and Jason have one child who does not have cystic fibrosis.
We forecast that 20% of group 1 and 30% of group 2 will experience outcome. If we recruit the equal number of individuals in each of the groups, how many individuals do we need to study?
Assume the distribution of ages of homes follow an approximately normal distribution. Show all the seven steps and include the p-value.
A survey of 608 adults showed that 401 of them approved of the way city government was being run. Find a 99% confidence interval for the true proportion of voters who approve the way city government is being run.
What percent of the sales representatives earn more than $42,000 per year? What percent of the sales representatives earn between $32,000 and $42,000?
Compute a 95% confidence interval for the mean using the formula and where is the mean of the ten random numbers.
Provide an example of three events that would be mutually exclusive. Are these events also exhaustive? Then, give an example of three events that would be exhaustive. Are these exhaustive events also mutually exclusive?
Which of the following methods could be used to determine future order quantities? forecasting, regression, inventory models.
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