fill in the blank)  When the distribution of the original variable might not be normal, a sample size of _______________ or more is needed to use a normal distribution to approximate the distribution of the sample means. The larger the sample, the better the approximation will be.

You review your data from a population A and population B. The mean and standard deviation are noted as N(mean, standard deviation). NA(400,10) and NB(300,25). 95 percent of the observations for population A exceed a value of___________?95 percent of the observations for population B are less than a value of _____________?

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Please help with question #4

PART I. SAMPLING DISTRIBUTION OF THE MEAN Assume you have a population which has been measured on a scale of career ambition with u = 150 and o = 40. Assume that the ambition scores are normally distributed in the population. Assume that you have drawn a sample of 100 individuals from the population and have recorded the mean in this sample. Then you have replaced the individuals in the population and have drawn another sample of size 100. You keep doing this repeatedly until you have a list of the sample means in a huge number of samples from this population. Now you make a plot of the means of all the samples (i.e., you form a distribution of the sample means). 1. What is this distribution called? 2. What is the numerical value of the mean of the distribution you have created? 3. In general, how does the mean of the distribution you have created relate to the population mean? 4. What will be the shape of the distribution of means? Explain your answer. 5. Now suppose you calculate the…

Match each assumption on the left with the corresponding plot used to check it. Normally Distributed Residuals Linear Relationship between X and Y variables Constant variability of residuals Mean of the residuals is zero Q-Q Plot Studentized Residual Plot Profile Plot of Means Histogram Boxplot Scatterplot Q-Q Plot

Which of the following indicates that the use of a two-sample zz-interval for a difference in population proportions is appropriate? Two populations of interest exist. The variable of interest is categorical. The intent is to estimate a difference in sample proportions. I only A II only B III only C I and II only D I, II, and III E

Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are longer than 35 centimeters. The biologists will select a random sample of crabs to measure. Which of the following is the most appropriate method to use for such an estimate? A one-sample z-interval for a population proportion A A one-sample z-interval for a sample proportion B A two-sample z-interval for a population proportion C A two-sample z-interval for a difference between population proportions D A two-sample z-interval for a difference between sample proportions