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The Central Limit Theorem is important because it enables us to calculate probabilities about sample means. Based on the 2000 Census, 31.8% of grandparents in California are the primary caregivers for their grandchildren. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of grandparents as primary caregivers (-hat) is to be calculated. What is the mean of the sampling distribution of -hat?
What is the probability that the income is between $1,000 and $1,800? (Be able to draw a graph to illustrate your results)
What sample size is need if the agency wants to be 90% confidence of being correct to within +/- 5 minutes? if 90% is desired, how many listeners need to be selected?
Median score of 67. Based on this information, the distribution of test scores is symmetric, left skewed, right skewed, or bimodal?
Can researcher conclude that humidity has significant effect on eating behaviour? Use two-tailed test with a = 0.05.
Explain the difference between the null hypothesis and the alternate hypothesis. How is the null hypothesis chosen (why is it null)? What is the importance of rejecting the null hypothesis, can we make a geneeral staement about the population base..
At the level of significance, is there evidence that the population mean force is greater than 1500 pounds?
The advertising agency promoting the new Keem dishwashing soap wants to get the best exposure possible for the product within the $100,000 advertising budget ceiling placed upon it.
Jeweller desires to know how many of each item to make each week to maximize profit. Create the integer programming model for this problem (written in format similar to way Problems 1 and 2 were presented).
Determine a forecast for the average weekly sales in year 5 for each of the three seasons.
If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack?
Can the college conclude that the students in the new program are significantly different from the rest of the freshman class? Use a two-tailed test with a .O5.
A number x is formed by choosing six digits in order, each being a 9 or a 1 and equally likely. Describe the sample space and count the number of sample points it contains.
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