2. Manually calculating the t-statistic Aa Aa a A real estate developer wonders whether the master bathrooms in newly built homes are the same size as they were 10 years ago. She collects the following random sample of current master bathroom sizes: Master Bathroom Sizes (Square feet) X 22 33 34 46 49 33 4D 6 1 52 49 The real estate developer plans to use a t-statistic to make an inference about the population mean. Which of the following conditions are necessary for the t-statistic to be appropriate? Check all that apply. |:| The sampled population is normal, or it is not extremely nonnormal and the sample size is sufficient to assume that the sampling distribution of the mean is normal. I:I The research question concerns the population variance. I:| The research question concerns the population mean. |:| The data are interval. Assume that the distribution of master bathroom sizes is normal. The real estate developer's null and alternative hypotheses are H0: p = 46; H1: p :12 46. To calculated the t-statistic, the real estate developer first needs to calculate the sample mean ()7) and the sample standard deviation (5). The value of )7 is , and the value of s is . The value of the t-statistic is Select a Distribution V Use the Distributions tool to determine the rejection region when the significance level is o: = .05. The real estate developer should reject the null hypothesis when . Thus, the real estate developer reject the null hypothesis