1.The sample variance or the sample standard deviation are good approximate of t

Question

1.The sample variance or the sample standard deviation are good approximate of the population variance or standard deviation?

True or false?

2. The Central limit theorem states that the individual results or when n is 1 in an experiment that unique outcome follow a Normal Distribution?

True or false?

3. In hypothesis testing alpha is the probability of being judged correct?

True or false?

4. If the critical Z is ± 1.96 and the experimental Z is 1.0 that means that the null hypothesis is rejected?

True or false?

5. In hypothesis testing with a sample size of 25, standard deviation of 2, and the difference between the sample mean and the population mean of +3.0 (positive 3), the Z is positive 7.5?

True or false?

Explanation / Answer

Ans:

1)True

(As,the sample size increases,it closely reprsents the population variance or standard deviation.)

2)False.

(as central limit theorm is not for individual,it is for sample means )

3)Alha is type I error,We reject null hypothesis,when it is true,so it is probability of being judhed incorrectly.

False.

4)z=1 does not lie in critical region i.e z<-1.96 or z>1.96,so we fail to reject null hypothesis.

False.

5)standard error of mean=2/sqrt(25)=0.4

z=3/0.4=7.5

True

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