True or False The sampling distribution of the mean will be approximately normal regardless of the distribution of the original population or the sample size. false1. True or False The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn. 2. True or False The sampling distribution of the mean will have the same standard deviation as the original population from which the samples were drawn. True or False In determining the necessary sample size in making an interval estimate for a population mean, it is necessary to first make an estimate of the population standard deviation. 1. True or False A Type II error occurs when we reject a false null hypothesis. True or False The power of a test is the probability to reject the null hypothesis when the null is false. 5. True or False If the p-value for a particular hypothesis test is 0.03 with a = 0.05, we do not reject the null hypothesis. 7. True or False If a test is carried out at a specified significance level (e.g., a = .05), using a larger sample size will change the decision rule but will not changea. This is because a has been decided upon in advance. s. True or False If a test is carried out at a specified significance level (e.g., a = .05), using a larger sample size will reduce the value of 8, the probability of making a Type II error.