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.

...Normal Probabilities. ...Mean 100 2 Standard Deviation 2 ty for a Range 95 Probability for X ... Page 8 Given a normal distribution with a population mean of 100, a ...

... 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 ...

... What is the probability that, for a sample of college ... P (Z ≤ 1.05409) = 0.8541 σ n 0.142302494 Distribution Plot Normal, Mean=0, StDev=1. 0.4. 0.3. ...

... 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 ...

... 80, and from X σn 64 2 standard normal tables, we can find the probabilities as follows. a.) What is the probability that the average test score of ...

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

... The sampling distribution of sample mean is normal with mean = 50 and standard deviation = σ / n = 8 / 2 = 4 Probability for a Range From X Value 46 ...

... 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 ...