dçcrease if a 95% rather than 99%% confidence interyal is chosen? Explain why. The valun of Zg width of u LoNETin interuc Pou be decres. The Roman Arches is an Italian restaŭrant. The Mañager wants to estimate the average 2. amount a customer spends on lunch Monday through Friday. A random sample of 115 customers' lunch tabs gave a mean of $9.74 with a standard deviation of $2.93. Construct and interpret a 90% confidence interval for the average amount spent on lunch by all customers. Cholesterol level in a particular male population is assumed to follow a normal distribution. A random sample of size 16 has a sample mean of 245 and a standard deviation of 32 units. Construct and interpret a 95% confidence interval for the mean cholesterol level in the population. 3. 4. A school reports that the mean number of hours their students study each week is 15 hours. The students believe the mean is not 15 hours. To test their claim, they select a random sample of 49 students and find the sample mean is 16.163 hours with a sample standard deviation of 4.41 hours. Is there any evidence to support their belief at a 0.05 level of significance?
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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