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Suppose a sample of n =36 results in sample mean = 64. Can weconclude that the population mean is less than 66 at thesignificance level = 0.05?...

Question

Suppose a sample of n =36 results in sample mean = 64. Can weconclude that the population mean is less than 66 at thesignificance level = 0.05?

Suppose a sample of n =36 results in sample mean = 64. Can we conclude that the population mean is less than 66 at the significance level = 0.05?



Answers

Conduct the appropriate test. A simple random sample of size $n=65$ is drawn from a population. The sample mean is found to be 583.1 , and the sample standard deviation is found to be $114.9 .$ Test the claim that the population mean is different from 600 at the $\alpha=0.1$ level of significance.

The shape Chefs serum gives us to this new quality for the sample mean quickie. Here's a real number that is good. It on one. And this expression, it's deviation or arrow. The central limit fume tells us that the expression on the left here, Footloose that stand out, normal distribution and also this expression here it's known as the division or the arrow I have. You have these facts from the question some poor size of 64 deviation off 60 and they have to make a statement by the probability that's the aero is less than six. So when I compare this expression, so what I have here and then to this, I have to find my key. So I moved us for loose and then Key here is equal to six times code off 64 over 60. Therefore, key is equal to 0.8. Not for party who I have to use. Shape shift theory room. You know, it's that because the value off key here, it's no greater down one, you can obtain useful results by surface ships. Your, um, in other ways says Key is equal to 0.8. We cannot. I set anything about the probability in parts beery I used in the central image room. And so we set up since this week and using the standard. No, my table, I have have these values. Therefore, I have this hands this is the state spends we can make about the probability that the Aero iss less than six

Probably eight, Which in a, um, we do not know the distribution of X, and we cannot use central serum as N is equal to 16, which is smaller than 30. So we cannot say anything about X bar distribution. Could should be. Does that score is X minus US bar over seven x bar, which is that is exactly equal to 73 minus 72 over offering five. So the property, 68 for the negative, too. So the project of that's one of them opened fire. All right. Is that which is ableto open. 6915 Yeah, that's offering all toe eight, which is open 668 say

A problem. Number 14 new is not equal to find to deal with you. Alpha is equal toe operate or five. It's bar is equal toe 53 toe zero, as is equal to 2700 then is equal to 34. The claim is either the non hypothesis or the alternative hypothesis. The null hypothesis and alternative hypothesis state the opposite of each other so that no hypothesis least to contain the value mentioned in the claims. So each note and the new is equal to find 20 52,200 and each one new is not equal to five to the unity. So the T value is equal to X Y minus new over as over square root of N, which is equal to 53 toe zero minus five toe zero Do you over 2700 over square root off 34 so the T venue is equal to 2.2 or three, so the critical value can be found in table five. In the roll off degree of freedom equal to 34 minus one C 33 and column or answer is going toe point or fine so this is tooting, so the T value is equal to 2.35 So it's a reduction reason and then can be deter mined as old values below below negative two point or 35 or about two point or 35 So if the teeth value is in the reaction leading, then the more hypothesis is rejected. So as a 2.2 or three is bigger than 2.2 or 35 So we can say that we reject the man hypothesis eso there is sufficient evidence to support the clean that mu is not equal to 52,200.

The shape Chefs serum gives us to this new quality for the sample. Mean quickie. Here's a real number that is good it on one. And this expression it's deviation or arrow. The central limit fume tells us that the expression on the left here, Footloose that stand out, normal distribution and also this expression here is known as the division or the arrow. You have these facts from the question some poor size of 64 deviation off 60 have to make a statement about the probability that the arrow it's less than 16.5. So when I compared this what I have here and that I have to find my key. So to find my key, I have this. It's OK is the courtroom 16.5 times. This girl's off 64 over 60 and now K is equal to two points to and now to part, if where I have to use it saves fume, have things set up this week, and when I have confused what I have here, I obtained the value 0.7934 so I'm going to write things this week. Therefore, this is where we cannot set about the probability that the error is less than 16.5 for Parts B, where we have to use the central emitting fumes I have seen set up this week and using the standard Nomar Taboo, I obtained these values. And so I have this. This, then, is the students you can make about the probability that the arrow is less assisting 0.5.


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