Question

3) Two swimmers from different teams, Angie and Beth wanted to find out who had the fastest time for the 50-meter freestyle when compared to her team. Units = seconds Actual Time Team Mean Team Std. Dev. Angie 26.2 0.8 Beth 27.3 30.1 27.2 a) Which swimmer had the fastest time when compared to her team? b) Based on Chebyshev's Theorem, between what times can we expect at least 95% of Angie's team to fall between? c) Based on the Empirical Rule, between what values can we expect about 95% of Beth's team to fall between? Assume it is known that Beth's Team's data is bell-shaped. 4) Circle the most appropriate option. a) Balancing point of a quantitative dataset. b) Middle value of a numerical dataset. c) The spread of the middle 50% of a dataset. d) The spread of the entire dataset. e) Using to measure a sample's center. f) Using to estimate a population's center. g) In skewed left data, the median is ___ than the mean. h) Measures of __include the range, variance, and IQR. i) Measures of include the mean, median, and midrange. 1) The histogram below that is most uniform. k) The histogram below that is most normal. 1) This histogram below that is most bimodal. Mean Mean Range Range Descriptive statistic Descriptive statistic Less Center Center Histogram A Histogram A Histogram A Median Median Interquartile range Interquartile range Inferential statistic inferential statistic Greater Spread Spread Histogram C Histogram B Histogram D

Answer 1

2 Questof H li ludibrio Cal Beth o bos is good swimmers as compared to team rostninah o ! _rugb 12 Et chebyshen's theorem Angie's team Find K no. of standard deviation $ 0.95 = 1- I SK? = 0.05 < H K = To K = 4.472 number - standard deviation lies between times i + Tao B Stol.dev. → 27.2 120*0.8 3 → canned with 27.2 + 3.578 [ 23.622, 30.778 )

use embirical lale. Beth tean There are q stand and a co deviation lies in 95% u ž tą std: devo : = 30.1 + 2 * 1.4 = (27,3 , 32.9) scanned with Gam Scanner