The nutrition label on a bag of pretzels from a large pretzel factory says that a 50 gram serving of pretzels has 184 calories. Extensive studies show the population distribution is Normal with a standard deviation sigma = 18 calories. A random sample of 20 bags of pretzels yields a sample mean of 191 calories.

We would like to determine if there is evidence that the nutrition label does not provide an accurate measure of calories per 50 gram serving?

a. State the null and alternative hypothesis you are being asked to test.

H subscript 0 colon mu ?? 184

H subscript a colon space mu ?? 184

b. If appropriate (aka check conditions), conduct the hypothesis test.Provide the calculated test statistic (rounded to 2 decimal places) and the exact P-value (to 4 decimal places).Use a significance level of alpha =0.05 to make your conclusion (clearly state your final conclusion).Show written work for ALL of the calculations AND include a clearly stated final conclusion for the hypothesis test

TEST STATISTIC=?

P-VALUE= ?