QUESTION 7 The confidence level is denoted by 1-a. a is Oa the probability that
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QUESTION 7 The confidence level is denoted by 1-a. a is Oa the probability that aconfidence interval will contain the estimated population parameter. Ob the probability that a confidence interval will not contain the estimated population parameter. Oc the probability that a confidence interval will contain the sample statistic. Od.the probability that a confidence interval will not contain the sample statistic. QUESTION 8 The sample mean is an unbiased point estimator of the population mean. O True O False QUESTION 9 The larger the p-value, the more we doubt the null-hypothesis. O True False Click Save and submit to save and submit. Click Save All Answers to save all answers.Explanation / Answer
7. The entire probability described by standard normal curve is 1, therefore, the confidence level, 1-alpha should be put at the middle of the distribution. Which implies that a probability of alpha should be shared equally among the two tails of the distribution as alpha/2. Therefore, alpha is the probability that the confidence interval will contain the estimated population parameter. Ans>a.
8. The mean of sampling distribution of the sample, known as expected value is equals the population mean. Therefore, sample mean is an unbiased point estimator of population mean. Ans> True.
9. The p value is the determining factor, how well the sample data supports the argument that null hypothesis is true. Therefore, higher the p value, more chance that data are likely to support a true null. Ans>False.
10. The null hypothesis is not rejected until, p value is less than alpha=0.05. Ans>False.
11. One of the assumptions for t statistic to be used is population standard deviation is unknown, along with small sample size, sample is drawn randomly and independently from a normal population. Ans>True.
12. The p value has to be less than alpha=0.10 and alpha=0.05, to be rejected at 0.10 and 0.05 level of significance. But it cannot be rejected at alpha=0.01 level. Therefore, correct p value is p=0.01. Ans>a
13. The standard normal distribution has mean 0 and variance 1. But as t distribution has a greater spread than normal distribution, the mean for t distribution cannot be zero. Ans> c.
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