Test the claim that on average, salaries in Smalltown are less than salaries in Largetown. A random sample of 34 Smalltown salaries yields a mean of $60630 and standard deviation of $1741, while a random sample of 30 Largetown salaries yields a mean of $60715 and a standard deviation of $1652. Use a 0.10. Let Population 1 be Smalltown. 1. The fact that salaries are not known to be normally distributed is not important in this test because: O both sample means are at least thirty O this is a T-test O this is a Z-test O both sample sizes are at least thirty The hypotheses are: O Ho:µi < P2; Ha: 41 > H2 O Ho:p1 = p2; Ha: p1 p2 %3D O Ho:p1 < p2; Ha: p1 > p2 O Ho:µ1 > µ2; Ha:µ1 < µ2 О Но: р1 2 р2;B На:рі < р2 O Ho:p = p2; Ha:µ1 # µ2 This is a O twoO rightO left tailed test and the distribution used is OT since both o values are not known OZ since both o values are 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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