Do men take less time than women to get out of bed in the morning? The 57 men observed averaged 4.9 minutes to get out of bed after the alarm rang. Their standard deviation was 1.2. The 44 women observed averaged 5 minutes and their standard deviation was 2.6 minutes. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use (Select an answer b. The null and alternative hypotheses would be: Ho: v (please enter a decimal) Select an answer Select an answer Select an answer H1: Select an answer Select an answer Select an answer (Please enter a decimal) C. The test statistic ? v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) %3D

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.