I. MULTIPLE CHOICE: Write the letter of the correct answer on your paper. 1. The mean of the standard normal distribution is a. 0 b. 1 c. 100 d. variable 2. Approximately what percentage of normally...

Answer allI. MULTIPLE CHOICE: Write the letter of the correct answer on your paper.<br>1. The mean of the standard normal distribution is<br>a. 0<br>b. 1<br>c. 100<br>d. variable<br>2. Approximately what percentage of normally distributed data values will fall within 1 standard deviation<br>above or below the mean?<br>a. 68%<br>3. Which of the following is not needed in transforming a normal to standard normal variable?<br>b. 95%<br>c. 99.7%<br>d. variable<br>b. x-value<br>C. standard deviation<br>d. variance<br>a. mean<br>4. Which of the following factors define a normal probability distribution?<br>a. mean and variance<br>b. median and standard deviation<br>5. The highest point in a normal curve is called the<br>a. mean<br>6. The total area under a standard normal curve is<br>c. mean and standard deviation<br>d. median and variance<br>b. median<br>C. standard deviation<br>d. mode<br>b. 1<br>c. 100<br>d. variable<br>а. О<br>7. What is the best point estimate of the population mean?<br>a. sample mean<br>8. Which of the following does not describe the normal distribution?<br>a. denoted by z<br>b. sample median<br>C. sample mode<br>d. sample midrange<br>b. bell shaped<br>c. variance of 1<br>d. passes through x-axis<br>II. TRUE or FALSE. Write T if the statement is true, otherwise write F if the statement is false. Erasure<br>means wrong.<br>1. The estimator, the parameter, and the result of the estimator which is called an estimate are different from<br>each other.<br>2. The confidence interval is stated in terms of level of confidence.<br>3. All variables that are approximately normally distributed can be transformed to standard normal variables.<br>4. We can transform the whole normal curve into a standard normal curve if the mean is equal to 0.<br>5. A confidence interval estimate of 100% is desirable over an interval estimate of 90%.<br>6. The three confidence levels most commonly used are 90, 95, and 99%.<br>7. Interval estimates are preferred over point estimates since a confidence level can be specified.<br>8. If we wish to find various probabilities pertaining to where an arbitrary measurement may lie in a normal<br>distribution, it must first be transformed into standard normal.<br>9. Increasing the mean shifts the normal distribution to the left.<br>10. The left and right tails of the normal distribution extend indefinitely but come infinitely close to the x-<br>axis.<br>PROBLEM SOLVING. Solve the given problems and show your complete solution. (10 pts.)<br>1. The scores of Grade 8 students in a standardized test are normally distributed with a mean of 60 and a<br>standard deviation of 4. Answer the following:<br>a. What percent of the students got a score higher than 65?<br>b. What percent of the students got a score between 57 and 60?<br>c. If there are 250 students who took the test, about how many students scored higher than 65?<br>

Extracted text: I. MULTIPLE CHOICE: Write the letter of the correct answer on your paper. 1. The mean of the standard normal distribution is a. 0 b. 1 c. 100 d. variable 2. Approximately what percentage of normally distributed data values will fall within 1 standard deviation above or below the mean? a. 68% 3. Which of the following is not needed in transforming a normal to standard normal variable? b. 95% c. 99.7% d. variable b. x-value C. standard deviation d. variance a. mean 4. Which of the following factors define a normal probability distribution? a. mean and variance b. median and standard deviation 5. The highest point in a normal curve is called the a. mean 6. The total area under a standard normal curve is c. mean and standard deviation d. median and variance b. median C. standard deviation d. mode b. 1 c. 100 d. variable а. О 7. What is the best point estimate of the population mean? a. sample mean 8. Which of the following does not describe the normal distribution? a. denoted by z b. sample median C. sample mode d. sample midrange b. bell shaped c. variance of 1 d. passes through x-axis II. TRUE or FALSE. Write T if the statement is true, otherwise write F if the statement is false. Erasure means wrong. 1. The estimator, the parameter, and the result of the estimator which is called an estimate are different from each other. 2. The confidence interval is stated in terms of level of confidence. 3. All variables that are approximately normally distributed can be transformed to standard normal variables. 4. We can transform the whole normal curve into a standard normal curve if the mean is equal to 0. 5. A confidence interval estimate of 100% is desirable over an interval estimate of 90%. 6. The three confidence levels most commonly used are 90, 95, and 99%. 7. Interval estimates are preferred over point estimates since a confidence level can be specified. 8. If we wish to find various probabilities pertaining to where an arbitrary measurement may lie in a normal distribution, it must first be transformed into standard normal. 9. Increasing the mean shifts the normal distribution to the left. 10. The left and right tails of the normal distribution extend indefinitely but come infinitely close to the x- axis. PROBLEM SOLVING. Solve the given problems and show your complete solution. (10 pts.) 1. The scores of Grade 8 students in a standardized test are normally distributed with a mean of 60 and a standard deviation of 4. Answer the following: a. What percent of the students got a score higher than 65? b. What percent of the students got a score between 57 and 60? c. If there are 250 students who took the test, about how many students scored higher than 65?
Jun 09, 2022
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