(iii) How large would the sample size need to be so that the margin of error for your 95% confidence interval is at most 5? (iv) Unfortunately, Juanita has not taken statistics in college, and treats her sample variance as the population variance, and carries out a test accordingly. Find out what her p-value is, and whether she accepted or rejected Ho at the same level of significance as in part (ii) above,
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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Given: Sample size, n = 9
Sample mean, m = 94.619
SAmple variance, s2 = 49.0001
Part (iv): Since the population variance is unknown, the margin of error "E" to be at most 5 implies
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