Student Full Name: Provide an appropriate answer for each of the mean confidence interval problems. 1) Construct a 94% confidence interval for the population mean, u. Assume the population has a normal distribution. A sample of 40 part-time workers had mean annual earnings of $3120 with a standard deviation of $677. Round to the nearest dollar. (Show work) Fn 2) In order to set rates, an insurance company is trying to estimate the number of sick days that full time workers at a local bank take per year. Based on earlier studies it is known that the standard deviation is 12.3 days per year. How large a sample must be selected if the company wants to be 95% confident that their estimate is within 3 days of the true mean? Provide an appropriate answer for each of the proportion confidence interval problems. 3) A of 500 non-fatal accidents showed that 122 involved uninsured drivers. Construct a 96% confidence survey interval for the proportion of fatal accidents that involved uninsured drivers. (Show work)

Q: Match the following quadratic functions to their graphs. 2z? - 5z + 1 -2x + 5z + 1 21 + 5z +1

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Q: Question 81 a,b,c,d

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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.