Question
1. Construct the null and alternative hypotheses for the following tests/claims. a. Test if the mean weight of cereal in a cereal box differs from
1. Construct the null and alternative hypotheses for the following tests/claims. a. Test if the mean weight of cereal in a cereal box differs from 18 ounces. b. Test if Americans get less than seven hours of sleep. c. "I am going to get majority of the votes to win this election." (Assuming 2 parties are participating) d. Discuss the consequences of Type 1 and Type 2 errors for part c. e. "I will have to fine the company because its tablets do not contain an average of 250mg of ibuprofen as advertised.
2) The average daily sales at a grocery store chain were $4500 with a standard deviation of $250 dollars. What are the expected mean and standard error from a sample of 10 stores.
3) The newly launched Tesla Roadster has estimated to drive 400 miles on average on a single charge with a standard deviation of 20 miles. What is the probability that it will last a trip of 350 miles?
4)
Temperature Data | ||
Dallas | New York | Los Angeles |
32 | 30 | 33 |
36 | 28 | 34 |
45 | 36 | 34 |
39 | 40 | 38 |
41 | 30 | 39 |
36 | 28 | 29 |
40 | 36 | 30 |
33 | 30 | 31 |
40 | 32 | 32 |
41 | 38 | 33 |
59 | 20 | 33 |
49 | 20 | 35 |
40 | 21 | 32 |
a. Is there a significant difference between the temperatures in Dallas and New York? b. Is there a significant difference between the temperatures in Dallas and Los Angeles?
5) Is there a significant association between majors and type of instruction?
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