I have been working on these question want to know how to complete letter d & e in Question # 3.

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MATH 250 Virtual Statistics--Activity 4 3. Now consider your cleaned data in reference to the Armspan variable of the students. Notice that this data category is quantitative, continuous, ratio level in type. (This portion of the activity is Based on Workshop Statistics, Rossman, p. 66) exactly five classes a. In the area to the right, copy the Armspan values (again take the cleaned data set of 77 values) and then sort them in order from least to greatest. From this column of Armspan values, create an appropriate frequency table with exactly five classes--remember, we did such frequency charts back in Unit 1. For the next part b, you may choose to produce the histogram graph at the same time. Finally extend your frequency table to include a relative frequency column. Armspan Frequency Relative Frequency 142-151.5 3 0.04 152-161.5 19 0.25 162-171.5 21 0.27 172-181.5 17 0.22 182-201.5 17 0.22 77 1.00 b. Produce a histogram for your frequency table (if you did not do so as you constructed your table in part a). Does the distribution of the Armspan values appear to be roughly normal? Explain your answer briefly.

Not Normal- c. Compute the mean and standard deviation of the Armspan valuesnot from the frequency table as done in the discrete case above but as done in the first unit, assuming this is sample data of all stats students. Sample mean, xbar: 171.288052 Sample std. deviation, s: 13.3469114 d. Determine the proportion of the students in this sample whose Armspan length is at most 170 cm. 28/77=.3636= 36% e. Suppose that the Armspan lengths in the population of all university students taking elementary statistics do in fact follow a perfect normal distribution (though our group did not) with the population mean = 172.73 cm and population standard deviation = 12.54 cm . Under this assumption, determine the proportion of all students who have an Armspan length measure of at most 170 cm. (HINT: this calculation is related to the concepts covered in text section 6-2 and 6-3!) MATH 250 Virtual Statistics--Activity 4

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