This question asks if body temperatures are (at least approximately) normally distributed ((k) below). A study done at the University of Maryland (cited in Weiss, Introductory Statistics, 7th ed, 2005) measured the body temperatures of 93 healthy humans. I have listed the values in order, from highest to lowest. I have included a frequency histogram (p 4) with a normal densitycurve superimposed on it, and a hoxplgt with the same horizontal axis. I have also included two frequency histograms (I and II on p 5) with different horizontal scales. The sample's mean and standard deviation are, respectively, 98.124 and 0.647. The interquartile range is 0.95. In this question, you compare three estimates of the standard deviation [(b) and (i)] to the actual calculated standard deviation. a) Is the histogram moreorless symmetrical? [1 mark] S HEIQR b) Is 4 ? Show your calculations. [1 mark] 0) Calculate i + 5' and f '3 . [1 mark] d) What are the zscores for the two values calculated in (c)? (HINT: what does a zscore COUNT?) [2 marks] e) In a perfectly normal distribution, what percentage of the data lies between 1? + s and f - S '2 [2 marks] f) How many actual values from a sample of 93 are expected to fall between the values 3? + 5' and f S ? [1 mark] g) How many values in THIS sample of 93 fall between the values f+Sand 5-3? [1 mark] h) Repeat c) through g) using 5 + 25' and f 23 k) Is there any evidence that body temperatures are not at least approximately distributed normally? (Refer to (a), (b), and (i), (g), and (h) above.) [3 marks] \f\f\fBody Temperatures Mean 98.124 StDev 0.647 Variance 0.418 N 93 13 Minimum 96.700 1st Quartile 97.650 Median 98.200 3rd Quartile 98.600 Maximum 99.400 95% Confidence Interval for Mean 97.990 98.257 95% Confidence Interval for Median 98.000 98.400 96.00 96.75 97.50 98.25 99.00 99.75 95% Confidence Intervals Median 95.5 97.5 98.5 99.5Body Temperatures I 35 30 25 20 Frequency 15 10 5 96 97 98 99 100 temp (Fahrenheit degrees) Body Temperatures II 25 20 15 Frequency 10 5 O 96.00 .25 00 96.5 50 97.25 97.50 97.75 98.00 98.2 50 .00 5.25 99. 99.75 .00 96. 96 97. 98.5 98.75 99. 99.50 temp (Fahrenheit degrees)