A teacher administers a standardized math test to a sample group of 75 students. The mean test score (out of 300 possible points) is 235 points. From previous studies, it is known that the population standard deviation of the test scores is 28 points. Construct a 95% confidence interval for the population mean test score. Fill in Multiple Blanks Do calculations in Excel. Do notround intermediate calculations. Round your final answer to the nearest tenth, that is, show one. (1) digit to the right of the decimal point, for example, 1.0, 1.2. Apply the appropriate rounding rule if necessary. You can use the "Format Cells..." option in Excel to show the required number of decimal places (Exeel will automatically round the number up or down). Do not show any symbols or words in your answer: A 95% confidence interval for the population mean test score is from to An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre with the standard deviation of 10 bushels. Assume that the yield per acre for the new variety of corn follows a normal distribution. Construct a 99% confidence interval for the population average yield of corn per acre. Fill in Multiple Blanks Do calculations in Excel. Do not round intermediate calculations. Round your final answer to the nearest tenth, that is, show one (1) digit to the right of the decimalpoint, for example, 1.0,1.2. Apply the appropriate rounding rule if necessary. You can use the "Format Cells..." option in Excel to show the required number of decimal places. (Excel will automatically round the number up or down). Do not show any symbols or words in your answer. A 99% confidence interval for the population average yield of corn per acre is from to