In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales force. $ 157 $ 132 $ 109 $ 145 $ 125 $ 139 (a) Calculate x , s2, and s for the expense data. (Round your answers to 2 decimal places.) x⎯⎯x¯ s2 s (b) Assuming that the distribution of entertainment expenses is approximately normally distributed, calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all entertainment expenses by the sales force. (Round intermediate calculations and final answers to 2 decimals.) [ x⎯⎯x¯ ± s] [ , ] [ x⎯⎯x¯ ± 2s] [ , ] [ x⎯⎯x¯ ± 3s] [ , ] (c) If a member of the sales force submits an entertainment expense (dinner cost for four) of $190, should this expense be considered unusually high (and possibly worthy of investigation by the company)? multiple choice Yes No (d) Compute the z-score for each of the six entertainment expenses. (Round z-score calculations to 2 decimal places. Negative amounts should be indicated by a minus sign.) z157 z132 z109 z145 z125 z139

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I just need part D

In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales force.


$	157	$	132	$	109	$	145	$	125	$	139

(a)

Calculate x , s², and s for the expense data. (Round your answers to 2 decimal places.)


x⎯⎯x¯
s²
s

(b)

Assuming that the distribution of entertainment expenses is approximately normally distributed, calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all entertainment expenses by the sales force. (Round intermediate calculations and final answers to 2 decimals.)


[ x⎯⎯x¯ ± s]	[ , ]
[ x⎯⎯x¯ ± 2s]	[ , ]
[ x⎯⎯x¯ ± 3s]	[ , ]

(c)	If a member of the sales force submits an entertainment expense (dinner cost for four) of $190, should this expense be considered unusually high (and possibly worthy of investigation by the company)?

	multiple choice Yes No

(d)

Compute the z-score for each of the six entertainment expenses. (Round z-score calculations to 2 decimal places. Negative amounts should be indicated by a minus sign.)


z₁₅₇
z₁₃₂
z₁₀₉
z₁₄₅
z₁₂₅
z₁₃₉

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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