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Suppose you wish to conduct one-sample t-test on population mean u. Which of the following statement is correct? a. You should not carry out the test if the sample doe not have a normal distribution. b. You can carry out the test only if the population standard deviation is known. c. You can safely carry out the test only if the sample size is at least 30. d. You can carry out the test if a graph of the data shows no strong skewness, regardless of x the sample size. Oe. You can safely carry out the test if there are no outliers, regardless of outliers.In a chemistry class, Angela and Christy were performing a hypothesis test concerning the mean amount of sugar in an 8oz soda drink. Both students arrived at the same test statistics, but Angela's result was to reject the null hypothesis, while Christy's result was not to reject the null hypothesis. Which of the following is NOT a possible explanation for why the students had different conclusions? a. Angela considered the test statistic to be z, while Christy considered the test statistic to be t. b. Angela was performing a one-tail test, but Christy was performing a two-tail test. c. Angela was testing at an a = 0.05, but Christy was testing at an a = 0.01 level. X d. Angela computed the p-value of the test statistics, while Christy compared the test statistic to the corresponding critical value in the chart. e. Angela performed an upper-tail test, while Christy performed a lower-tail test.For a hypothesis test of Ho : M = Mo against the alternative Ha : /