The diagram below shows a graph of a normal curve. The mean and the number of standard deviations from the mean are labeled below the graph. The red dashed lines correspond to the different values. Given that the mean is 61 and the standard deviation is 6, fill in the answerboxes below the labels with their corresponding values. Then answer the questions below the graph about the Empirical Rule. -3 sd -2 sd -1 sd According to the Empirical Rule, Approximately 68% of the data values fall between Approximately 95% of the data values fall between Approximately 99.7% of the data values fall between mean +1 sd and and and +2 sd +3 sd

A survey collected the data below. x 26 4 16 12 20 The mean is 15.6. Calculate the deviation of x=16 ?

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Type if A if you should accept the study as having a mean not to different from the population mean. Type R if you should reject the study as having a too different mean from the population mean. A researcher wants to determine whether the mean height of 31, 18 year old Filipino teens is significantly different from the population average of 5.2 ft. The mean and the standard deviation of the scores of the researcher's study is 5.4 ft and 7; respectively. Assume a 99% confidence level. A researcher wants to determine whether the mean lifespan of 16 pet goldfish living in the same tank is significantly different from the population average of 12 years. The mean and the standard deviation of the pet goldfish's lifespan is 9.5 and 11; respectively. Assume a 90% confidence level.

z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?

A normal population has mean u = 50 and standard deviation o = 5. What is the 80th percentile of the population? Use the TI-84 Plus calculator. Round the answer to at least one decimal place.