1. True or False (and explain why if False) _______ The sampling distribution of
ID: 3152467 • Letter: 1
Question
1. True or False (and explain why if False)
_______ The sampling distribution of the sample mean is always EXACTLY Normal
_______ If you increase the Type I error rate you increase your power.
______ The t-distribution is symmetric around zero.
______ As you decrease your confidence level when calculating a confidence interval, you make your confidence interval wider
______ The sample mean is exactly the same as the true mean of the population
______ If you increase the type I error rate, , you are more likely to not reject the null hypothesis
______ The standard error increases if the sample size increases
______ You tend to reject the null hypothesis when you have large (>.05) p-values
______ If you find that zero is not included in a 95% confidence interval for the mean difference between two populations that mean you would not reject the null hypothesis of no difference at a 0.05 significance level of a two-sided test.
_______ The p-value is a probability.
Explanation / Answer
The sampling distribution of the sample mean is always EXACTLY Normal. False
The sampling distribution of the sample mean is appromattely normal when sample size is greater than 30.
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If you increase the Type I error rate you increase your power. true
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The t-distribution is symmetric around zero. true
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As you decrease your confidence level when calculating a confidence interval, you make your confidence interval wider. False
As confidence level decreases, critical value also decreases so the confidence interval become narrower.
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The sample mean is exactly the same as the true mean of the population. False
The sample mean is an unbiased estimator of the true mean of the population.
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If you increase the type I error rate, , you are more likely to not reject the null hypothesis. False
If you increase the type I error rate, , you are more likely to reject the null hypothesis.
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The standard error increases if the sample size increases. False
The standard error decreases if the sample size increases beucase sample size come into denominator of the standard error.
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You tend to reject the null hypothesis when you have large (>.05) p-values. False
if p-value of greater than 0.05 (level of significance), we fail to reject the null hypothesis.
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If you find that zero is not included in a 95% confidence interval for the mean difference between two populations that mean you would not reject the null hypothesis of no difference at a 0.05 significance level of a two-sided test. False
If zero is not included in a 95% confidence interval, we reject the null hypothesis of no difference at a 0.05 significance level of a two-sided test.
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The p-value is a probability. True
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