28. A manufacturer of chocolate chips would like to know whetherits bag filling machine works correctly at the 450 gram setting. Itis believed that the machine is underfilling the bags. A 16 bagsample had a mean of 441 grams with a variance of 256. Assume thepopulation is normally distributed. A level of significance of 0.05will be used. Find the P-value of the test statistic. You may writethe P-value as a range using interval notation, or as a decimalvalue rounded to four decimal places.
29. A manufacturer of chocolate chips would like to know whetherits bag filling machine works correctly at the 447 gram setting. Itis believed that the machine is underfilling the bags. A 31 bagsample had a mean of 445 grams with a variance of 441. Assume thepopulation is normally distributed. A level of significance of 0.05will be used. State the null and alternative hypotheses.
