Suppose a manufacturer claims that each family-size bag of pretzels sold weighs 12 ounces on average with a standard deviation of 0.8 ounces. A consumer's group decides to test this claim. If a simple random sample of 49 bags of pretzels gives a sample mean of 11.8 ounces, is this significant evidence that the actual weight of a bag of pretzels is different from the manufacturer's claim?

Question

(a) State the hypothesis.
(b) Describe and draw the corresponding sampling distribution.

Answer 1

I'll get you started.

Hypotheses:

Ho: µ = 12 --> this is the null hypothesis

Ha: µ ≠ 12 ---> this is the alternate or alternative hypothesis

Note:
Null hypothesis always uses an equals sign. The alternate or alternative hypothesis in this case uses a "does not equal" sign because the problem is just asking if there is a difference. There is no specific direction mentioned (such as "greater than" or "less than" or similar statements).

I'll let you take it from here.