х1 12.3 12.1 9.9 8.9 10.4 9.8 11.1 12.7 9.2 8.2 x2 9.9 14.8 14.1 13.9 10.2 13.9 14.2 12.1 10.3 11.5 14.2 13.7 10.4 Use the sample data shown above to decide whether 41 is less than 42 at a = 0.05. %3D Make sure you are looking at ALL the data. 1. The population distribution requirement for this test is: O None since this is a Z-test O Need a normally distributed population since this is a T-test O Need a normally distributed population since n, and n2 < 30 None since n, and n2 2 30 The hypotheses are: O Ho:pi < p2; Ha:pi > p2 O Ho:p1 = P2; Ha:pi # p2 O Ho:µ1 S H2; Ha: pi > 42 O Ho:µi 2 12; Ha: u1 < p2 O Ho: p1 = 42; Ha:41 + 42 O Ho:pi 2 p2; Ha:pi < p2 %3D 2. This is a O twoo rightO left tailed test and the distribution used is OZ since both a values are known T since both a values are not known Oz since testing two proportions
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.
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