Discuss the necessity of both the mean and the standard deviation to adequately describe the data in light of what you know about normal distributions and standard z values.
A necessity if the sample size is large enough then by CLT we can approximate the sample as a Normally distributed assuming
the distribution is fulfilling the other requirements. it makes calculation easy for most of these cases
Discuss the necessity of both the mean and the standard deviation to adequately describe the data...
Find the sample mean and sample standard deviation of your data. What is the Z score? Pick three bills from the last 12 months and change the values into z-scores. What does the z-score tell you about that particular month? Between what two values would be considered a normal bill? Remember, being within 2 Standard Deviations is considered normal. Are any of your bills in the last 12 months unusual? Very unusual? Are there times when you would accept an...
A z score of 1.25 represents an observation that is a) 1.25 standard deviation below the mean. b) 0.25 standard deviations above the mean of 1. c) 1.25 standard deviations above the mean. d) both b and c Assume that your class took an exam last week and the mean and standard deviation of the exam were 85 and 5, respectively. Your instructor told you that 30 percent of the students had a score of 90 or above. You would...
The mean length of flounder, in millimeters, is 126 with standard deviation of 18 millimeters. The mean length of trout, in millimeters, 162 with standard deviation of 28 millimeters. Both distributions of lengths are approximately normal. a. Anna caught a flounder that was 150 millimeters longs. What is the z-score for its length? Round to two decimal places. b. Ben caught a trout that was 190 millimeters in length. What is the z-score for its length? Round to two decimal...
The mean length of flounder, in millimeters, is 126 with standard deviation of 18 millimeters. The mean length of trout, in millimeters, 162 with standard deviation of 28 millimeters. Both distributions of lengths are approximately normal. a. Anna caught a flounder that was 150 millimeters longs. What is the z-score for its length? Round to two decimal places. b. Ben caught a trout that was 190 millimeters in length. What is the z-score for its length? Round to two decimal...
Find the sample mean and sample standard deviation of your data. What is the Z score? Pick three bills from the last 12 months and change the values into z-scores. What does the z-score tell you about that particular month? Between what two values would be considered a normal bill? Remember, being within 2 Standard Deviations is considered normal. Are any of your bills in the last 12 months unusual? Very unusual? Are there times when you would accept an...
#4 (4a) You have a data set with a mean of 50 and a standard deviation of 10. If you add 3 to every data point, what will be the new values for the mean and standard deviation. Briefly explain your answer. (4b) The standardized score for the minimum of a data set is Zmin median is zmed = -0.6, and the standardized score the maximum of the data set is zmin +6.8. Based on this information alone, describe the...
Assume that a normal distribution of data has a mean of 21 and a standard deviation of 6. Use the 68minus−95minus−99.7 rule to find the percentage of values that lie 15. What percentage of values lie belowbelow 15?
Assume that a normal distribution of data has a mean of 20 and a standard deviation of 5. Use 68 - 95 - 99.7 rule to find the percentage of values that lie above 15. What is the percentage of values lie above 15?
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. A sample of 10 children in a gifted learner program are found to have a mean IQ of 106. Use a z-test to determine if this is significantly different from the normal population mean. What are your specific null and alternative hypothesis? Z=+ - 1.96 standard deviation m= 4.743 Z= 1.26 Will you reject or retain the null hypothesis? We will retain the null...
. 21 - Calculate the sample mean, the standard deviation of the sample mean, and determine its distribution for varying cases where n is small or large and the population is or is not, normally distributed. Household incomes are right-skewed, because most households earn under $150,000 per year, but a minority earn much, much more. Suppose you wanted to determine what the average household income is in central Illinois. In order to do this, you take a simple random sample...