Normal Probability & Sampling Distribution of Sample Mean

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What percentage of MBA's will have starting salaries of $34,000 to $46,000?

The weights of items produced by a machine are normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. What is the probability that a randomly selected item will weigh between 11 and 12 ounces?

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is?

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is

Solution Summary

The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.

... 1)=P(-1/sqrt(10.16/3)<Z<1/sqrt(10.16/3))=P(-0.54<Z<0.54)=0.4108 from normal table. ... D) For each of the possible sample sizes find the probability that the ...

Normal Distribution: sample mean, standard error of mean, probability. 1. A population of unknown shape has a mean of 75. you select a sample of 40. ...

...Normal Probabilities. Common Data Mean 18273 Standard Deviation 210 Probability for a Range From X Value 17723 ... a. What is the mean of the sampling distribution? ...

... solution gives the step by step method for computing probabilities based on ...PROBABILITY. ... entrance examination in a recent year had a normal distribution with a ...

... Then we know follows standard normal distribution. Therefore we have the following probabilities. ... the sample mean and population mean with probability 0.90 is ...

Probability distributions - normal distribution. ... selected, what is the probability that the ... the topic of normal distribution, sampling distribution and central ...

... many back cover) lists the probabilities for the ... the Autolite Battery Company conducts Example tests on ... There is not just one normal probability distri- bution ...

...Sample number is n=60, assume the sample mean X . To convert to Z, the standard normal probability distribution, X − 15 X − 15 Z= = 4 / n 4 / 60 a) the ...

... The population mean divides the normal distribution curve in two ... present case z=1.6 Cumulative probability value for z ... is 94.52 % Thus all sample means upto the ...