2. In a simple random sample of 125 households, the sample mean number of personal computers was 1.18. Assume the population standard deviation is 0.33. a. Construct an 80% confidence interval for the mean number of personal computers. Round the answer to at least two decimal places. le de since year 2000 mean length lecimal place. b. What calculator function did you use to create this interval? (T-interval, Z-interval, etc.)
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.
![2. In a simple random sample of 125 households, the sample mean number of personal computers was
1.18. Assume the population standard deviation is 0.33.
a. Construct an 80% confidence interval for the mean number of personal computers. Round the
answer to at least two decimal places.
age movies ade since th
.5
e mean length of all
decimal place.
e
b. What calculator function did you use to create this interval? (T-interval, Z-interval, etc.)
lator
c. If the sample size were 95 rather than 125, would the margin of error be larger or smaller than the
result in part (a)?
d. If the confidence levels were 99% rather than 80%, would the margin of error be larger or smaller
than the result in part (a)?
3. A survey of 100 Americans found that 68% said they find it hard to buy holiday gifts that convey their
true feelings. How large a sample is needed to estimate the true proportion of Americans who
struggle with buying gifts within 2% with 90% confidence? (Include Units!)
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