Question

Students investigated the packaging of potato chips. They purchased 6 randomly selected bags of chips marked with a net weight of 28.3 grams at different randomly selected stores. They carefully weighed the contents of each​ bag, recording the weights below​ (in grams).

​a) Do these data satisfy the assumptions for​ inference? Explain. ​

b) Find the mean and standard deviation of the weights. ​

c) Test the hypothesis that the net weight is as claimed.

29.4 28.3 29.1 28.8 28.8 28.5

a) The independence condition  (is plausibly, is not) satisfied and the Nearly Normal Condition  (is plausibly, is not) satisfied.​ Therefore, using the​ Student-t model for inference (should be, may not be) reliable.

​b) The mean weight is __ grams.
​(Round to two decimal places as​ needed.)

The sample standard deviation is __ grams.
​(Round to four decimal places as​ needed.)

​c) Write appropriate hypotheses for the test.

Upper H 0​:
(mu < 28.3, mu = 28.3, mu > 28.3, mu not = 28.3)

Upper H Subscript Upper A​:
(mu not = 28.3, mu < 28.3, mu = 28.3, mu > 28.3)

d) The test statistic is t=__
​(Round to two decimal places as​ needed.)

The​ P-value is __
​(Round to three decimal places as​ needed.)

e) State your conclusion. Use alpha = 0.1.

(Do not reject, Reject) the null hypothesis. There (is, is not) sufficient evidence to conclude that the mean weight is (different from, greater than, equal to, less than)
28.3 grams.

Answer 1