True or False for the following: If you test whether 1 - 2 =0 using =.05, and th
ID: 3172649 • Letter: T
Question
True or False for the following:
If you test whether 1-2=0 using =.05, and the two-sided p-value is .03, then the two population means are statistically significantly different.
The width of a confidence interval will decrease if either the population variance decreases (all other things being held constant) or the sample size increases (all other things being held constant)
For any measure that is normally distributed, approximately 95% of observations will be within 2 standard deviations of the mean.
If the 95% confidence interval around a sample mean is (2, 77), then you are 95% confident that the sample mean is between 2 and 77.
If the p-value is .90, you are 90% confident the two groups are the same.
The power of a statistical test is the probability that you will not make a type-2 error, if the treatment really does have an effect.
The type-1 error rate of a test is the same as the threshold for calling a p-value “statistically significant”.
If a study is not randomized, you will still get unbiased estimates of a treatment effect as long as your sample size is large enough.
If two events A and B are mutually exclusive and do not have probability 0, then they cannot be independent.
If you get a result at the end of the study that is not statistically significant, there are 3 possible explanations:
The null hypothesis was true.
The null hypothesis is not true but you had too small a sample size to find a difference.
The null hypothesis is not true but you had bad luck.
Explanation / Answer
Since p-value is less than 0.05 so we reject the null hypothesis. So given statement is true.
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The width of a confidence interval will decrease if either the population variance decreases (all other things being held constant) or the sample size increases (all other things being held constant)
Population variance comes into numerator and sample size in denominator. So give statement is true.
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For any measure that is normally distributed, approximately 95% of observations will be within 2 standard deviations of the mean.
yes it is true. Critical value for 95% confidence is apprximately 2.
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If the 95% confidence interval around a sample mean is (2, 77), then you are 95% confident that the sample mean is between 2 and 77.
False
Correct statement :
If the 95% confidence interval around a sample mean is (2, 77), then you are 95% confident that the population mean is between 2 and 77.
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