8- A random sample of the weight of 8 newborn babies at a local hospital is 6.5, 9.2, 8.5, 7.5, 6.7, 7.4, 8.2, and 7.1. a. Conduct a test of hypothesis to determine if the population mean is 7 pounds. (15%) b. Construct a 95% confidence interval for population standard deviation (a). c. Test if population variance (a³) of the weight of newborns is equal to 0.25. Use a-0.10 and make sure to identify the null and the alternative, the test statistics, critical value(s), and the decision rule. d. What assumptions are needed for the validity of your answers in parts a, b, and c?
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.
Only need part D answered, previous parts were answered earlier
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