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. 29.3 28.2 29.1 28.8 28.8 28.4 a) The independence condition is plausibly | satisfied and the Nearly Normal Condition is plausibly satisfied. Therefore, using the Student-t model for inference |should 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. Ho: H = 28.3 HA: H# 28.3 The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State your conclusion. Use a = 0.1. Reject the null hypothesis. There sufficient evidence to conclude that the mean weight is | different from 28.3 grams