A normal probability plot is given below for the weekly incomes (in dollars) of

Question

A normal probability plot is given below for the weekly incomes (in dollars) of a sample of engineers in one town. Interpret about the normality of the incomes of engineers in this town. Nomal Score T00 00 900 1000 1100 300 1300 1400 1300 Weeldy Inoe (Doles) Given population data: 3, 4, 5, 6,7 (a) Use the population data to construct a table that gives the sample means of sample size n = 2, (b) Draw a dotplot for the sampling distribution of the sample mean. (c) Find the probability that the sample mean will equal the population mear. (d) Find the probability that the sampling error made in estimating the population mean by the [2] 1 sampling mean will be 0.5 or less (in magnitude). (That is, the absolute value of the difference between the sample mean and the population mean is at most 0.5.) Suppose that represents the mean height for a population of people. Suppose that you use a sample mean to estimate . (a) Explain what is meant by sampling error in this situation. (b) Why does vary from one sample to another sample? (c) How can you reduce the likely sampling error?

Explanation / Answer

From given normal probability plot of weekly income of sample of engineers, if we plot stright line from origin between the sample points shown in the above graph then we observe that all points lie above and below towards the stright line. There is no any sample point which is far away from the stright line which indicates that the normality.

Sample of engineers having weekly income in this town follows normality.

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