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