A pretzel package is labeled as containing 20 oz of pretzels. A consumer group believes that the company is underfilling the bags. The group randomly selected 37 packages which produced a mean of 19.92 ounces and a standard deviation of 0.34 ounces. Is there sufficient evidence at the =0.05 level of significance to support the consumer group's claim that the mean amount of pretzels in a package is less than 20 oz? Answer parts (a) - (e) below to answer this question.

(a) Write the null and alternative hypotheses. Is the test left-tailed, right-tailed, or two-tailed?

(b) Assuming the random samples are independent (in other words, assuming n0.05N), verify that the sampling distribution is (approximately) normal.

(c) Find/calculate the test statistic, t₀. Round to three decimal places.

(d) Use StatCrunch tofind the exact P-value (to four decimal places).

(e) State the conclusion, including reasoning through comparison of the P-value to .