Based on sample data, the 90% confidence interval limits for the population mean are LCL = 170.86 and UCL = 195.42. If the 10% level of significance were used in testing the hypotheses H0: μ = 201 vs. H1: μࣔ 201, the null hypothesis: Group of answer choices
would be rejected. would be accepted. would fail to be rejected. would become H0: μࣔ 201
NULL HYPOTHESIS H0:
ALTERNATIVE HYPOTHESIS Ha:
The 90% confidence interval is (170.86,195.42)
Since the 90% confidence interval does not conatin true Population mean therefore SIGNIFICANT .
Decision: REJECT NULL HPOTHESIS H0.
Based on sample data, the 90% confidence interval limits for the population mean are LCL =...
A random sample is drawn from a distribution and the resulting population mean confidence interval for 90% confidence level is (32.5, 38.1). The null hypothesis for the population mean is H0: μ = 33.3. Should it be accepted at 5% significance level? Justify your answer.
A 95% confidence interval for a population mean was calculated. The sample mean was found to be 34.5 and the MOE was found to be 4.06 giving us a confidence interval of 34.5±4.06 or equivalently written as 30.44 to 38.56. (a) For the hypotheses H0:?=30 Ha:??30, would you reject the null hypothesis at the 5% level of significance (i.e. ? = 0.5)? (Type: YES or NO or CANNOT TELL): (b) For the hypotheses H0:?=41 Ha:??41, would you reject the null...
sample mean = 213.4552 sample Standard deviation = 44.81542 N=50 alpha = .05 SEM = 6.337857477 For each of the following hypothesis testing problems, manually calculate the t-statistic, use the 5% level of significance (alpha = 0.05), determine the rejection region, determine the p-value of the t-test, use the 95% confidence interval in part (c) to make a decision about whether or not to reject the null hypothesis. Test the null hypothesis that the true mean is 225 versus the...
If the 95% confidence interval limits for the population mean are 70 and 80, which of the following could be the 90% confidence interval limits? Please justify your answer.
A statistician constructed a confidence interval for the mean μ of a population and the result was the interval (25,30). Which of the following statements is/are true? There is a 0.9 probability μ is between 25 and 30. If 100 random samples of the same size are picked and a 90% confidence interval is calculated from each one, then μ will be in 90 of those 100 confidence intervals. If 90% confidence intervals are calculated from all possible samples of...
Based on the sample data, the P-value for a two-sided test of the null hypothesis H0:μ=10H0:μ=10 vs. H1:μ≠10H1:μ≠10 is 0.06. Which of the following statements is correct? A. the 95% confidence interval includes the value 10 B. the 68% confidence interval includes the value 10 C. the 90% confidence interval includes the value 10 D. None of the above
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