MATH 534 (MATH534)

When trying to determine probabilities, one must first assess whether the variable wouldhave anormaldistribution. Usingthetoolsfromthiscourse,whataresomemethodsthatcouldbeusedtodeterminewhethera variablehasanormaldistribution?

Consider when businesses might use confidence intervals to estimate values, such asin sales projections, marketing results, and so forth. Describe a business decision thatcould be helped with confidence intervals. Be specific! Then create a problem withnumbers from which another student could calculate a confidence interval and make adecision.

1. Question: If X = {1, 2, 4, 8, 9, 10, 16} and Y = {3, 4, 7, 9, 15}, then X ∩ Y is _________. 2. Question: If the occurrence of one event precludes the occurrence of another other event, then the two events are ______________. 3. Question: A listing of all elementary outcomes (i.e. the outcomes which cannot be broken down into other events) of an experiment (i.e. a decision making situation under uncertainty) is called a _____________. 4. Question: The probability that an event, Event A, o...

1. Question: Suppose a random sample of 400 is selected from a population with a standard deviation of 5. If the sample mean is 25, the 98% confidence interval to estimate the population mean is between ________. 2. Question: The point estimate of the population mean is _________. 3. Question: Suppose a random sample of 50 is drawn from a population whose standard deviation is unknown. If the sample mean is 70 and the sample standard deviation is 5, the 92% confidence interval to estimate the ...

1. Question: Classify each of the following as nominal, ordinal, interval, or ratio data. 2. Question: The activity or the process of collecting the data on the population is called . 3. Question: A company wants to learn the customers’ purchase habits of buying certain products. This company did a survey about a random 1000 customers, who were asked about the times they purchased the certain products within one month. Then what is the data in this example: 4. Question: Researchers often wi...

1. Question: Given a random variable X follows a Normal distribution with mean 10 and standard deviation 2. Question: Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. 3. Question: A normal distribution is defined by two parameters, the mean and the Standard Deviation 4. Question: If for a certain x value in a normal distribution with mean equal to 4 the z-value is such that Larger than 4 5. Question: Suppose X is normally distributed with mean 50 and ...

1. Question: If the occurrence or non occurrence of one event does not affect the occurrence or non occurrence of another event, the two events are ___________ . 2. Question: In any statistical experiment if the occurrence of one event precludes the occurrence of the other events, the events of the experiment are called _______ . 3. Question: In the experiment of a single roll of a 6-faced die, if the outcome “3 shows up” is called event A and the outcome “4 shows up” is called event B...

1. Question: If X = {1, 2, 4, 8, 9, 10, 16} and Y = {3, 4, 7, 9, 15}, then X ∩ Y is _________. 2. Question: If the occurrence of one event precludes the occurrence of another other event, then the two events are ______________. 3. Question: A listing of all elementary outcomes (i.e. the outcomes which cannot be broken down into other events) of an experiment (i.e. a decision making situation under uncertainty) is called a _____________. 4. Question: The probability that an event, Event A, o...

1. Question: Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is the z-value for a score of 80? 2. Question: Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is the probability of obtaining a score less than 80? 3. Question: Which one of the following is not a characteristic of a normal distribution? 4. Question: If the z-value of a given x value is positive, it means that ___________. 5. Question: As...

1. Question: If X = {1, 2, 4, 8, 9, 10, 16} and Y = {3, 4, 7, 9, 15}, then X ∩ Y is _________. 2. Question: If the occurrence of one event precludes the occurrence of another other event, then the two events are ______________. 3. Question: A listing of all elementary outcomes (i.e. the outcomes which cannot be broken down into other events) of an experiment (i.e. a decision making situation under uncertainty) is called a _____________. 4. Question: The probability that an event, Event A, o...