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Bumble likes going to his local Subway and always orders a foot-long meatball sandwich there, as he finds the satisfaction he gets from a foot-long
Bumble likes going to his local Subway and always orders a foot-long meatball sandwich there, as he finds the satisfaction he gets from a foot-long sandwich to be priceless. Over the past month, however, Bumble has been constantly hungry. He suspects the meatball sandwiches at his local Subway to be shrinking on average. Bumble has randomly sampled 20 of those 'supposedly' one-foot-long ( 12 inches) meatball sandwiches at that local Subway and has found a sample mean length of 11.8 inches with a sample standard deviation of 0.30 but does not know what to conclude from there. Please answer the following questions to help Bumble conduct an appropriate test to see if the mean length is shrinking at the 0.05 level of significance. 2-1 To help him test this, complete the appropriate H0 and H1 by filling in the blanks: (Separately fill in the parameter, equality, and value by selecting from the dropdown menu.) H0 H1 : 2-2 What would be the most appropriate critical value (i.e., zcrit or tcrit ) for this test? Separately fill in the name, sign, and value by selecting from the dropdown menu (for example, zcrit=+1.96 ). -4 Bumble thinks the p-value is the probability that the sandwiches are shrinking in size. Is this true? Please correct him if needed and interpret the p-value by directly explaining what this probability itself means. Select the most appropriate statement from the list below and report the letter: A. Yes, Bumble is correct. The p-value represents the probability that the alternative hypothesis is true. B. No, Bumble is wrong. The p-value represents the probability that the sandwiches are NOT shrinking in size; so the lower p-value suggests that the sandwiches are indeed shrinking. C. No, Bumble is wrong. The p-value indicates the probability of a sample mean being 11.8 inches or less if the true average length is really 12 inches. D. No, Bumble is wrong. The p-value indicates the probability of the population mean being 12 inches if we observed a sample mean of 11.8 inches. E. Yes, Bumble is correct. The p-value represents the probability that the null hypothesis is true and that he is not committing the Type I ( ) error. F. None of the above. 2-5 What is the most appropriate conclusion for this hypothesis test? Complete the most appropriate test conclusion by filling in the blank: Bumble should the and conclude that the of the sandwiches is on average
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