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Question:

Statistics Problem - Please help. I'm really stuck.?

I'm ready to pull my hair out.I can't seem to figure out how to use the standard normal distribution table to find Z.The question isWe want to investigate a claim about the average sound intensity of certain vacuum cleaners. Suppose the sound is a random variable having a normal distribution with a standard deviation of 3.6 dB. Specifically, we shall want to test the null hypothesis u = 75.20 against the alternative hypothesis u gt; 75.20 no the basis of measurements of the sound intensity n = 15 of these machines. If the probability of a Type I error is to be a = 0.03, what is the probability of a type II error for u = 77 dB.How do I use the normal distribution table to find a = 0.03. The only thing I know is that I have to do 1 - a.After that I can't seem to find out the rest of it. Please. Plesae just help with that.

Answer:

It means like this.... In making a vacuum cleaner, since it is fairly complicated and made of many parts and does not come out exactly the same every time it is made, there are many small random effects that contribute to the amount of noise that the vacuum cleaner makes. The normal distribution is what we see whenever there are many random effects that are added together. If the same random effects apply every time, and the same measurement and sampling method is used the same time, then the distribution of the measurements will fit the normal distribution.

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