You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer claims that the life spans of the tires are normally distributed, with a mean of 40,000 miles and a standard deviation of 5500 miles. You test 16 tires and get the following life spans. Complete parts (a) through (c) below. 48,945 42,213 24,051 36,117 32,209 41,001 42,888 37,719 D 23,231 29,347 34,274 36,641 30,122 36,334 33,621 44,904 A. OB. Oc. Life spans of tires Life spans of tires Life spans of tires 46,374 Distance (in miles) 25,02 2 Distance (in miles) 4634 Distance (in miles) Is it reasonable assume that the life spans are normally distributed? Why? Choose the correct answer below. O A. No, because the histogram is neither symmetric nor bell-shaped. O B. Yes, because the histogram is neither symmetric nor bell-shaped. c. Yes, because the histogram is symmetric and bell-shaped. O D. No, because the histogram is symmetric and bell-shaped. (b) Find the mean of your sample. The mean is 35851.1. (Round to one decimal place as needed.) Find the standard deviation of your sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer dlaims that the life spans of the tires are normally distributed, with a mean of 40.000 miles and a standard deviation of
5500 miles. You test 16 tires and get the following life spans. Complete parts (a) through (c) below.
48,945 42,213 24,051 36,117 32,209 41,001 42,888 37,719 D
23,231 29,347 34,274 36,641 30,122 36,334 33,621 44,904
O B.
Oc.
Life spans of tires
Life spans of tires
Life spans of tires
25 02
25 800
46.174
46,374
252
46374
Distance (in miles)
Distance (in miles)
Distance (in miles)
Is it reasonable
assume that the life spans are normally distributed? Why? Choose the correct answer below.
O A. No, because the histogram is neither symmetric nor bell-shaped.
OB. Yes, because the histogram is neither symmetric nor bell-shaped.
c. Yes, because the histogram is symmetric and bell-shaped.
O D. No, because the histogram is symmetric and bell-shaped.
(b) Find the mean of your sample.
The mean is 35851.1. (Round to one decimal place as needed.)
Find the standard deviation of your sample.
The standard deviation is (Round to one decimal place as needed.)
Transcribed Image Text:You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer dlaims that the life spans of the tires are normally distributed, with a mean of 40.000 miles and a standard deviation of 5500 miles. You test 16 tires and get the following life spans. Complete parts (a) through (c) below. 48,945 42,213 24,051 36,117 32,209 41,001 42,888 37,719 D 23,231 29,347 34,274 36,641 30,122 36,334 33,621 44,904 O B. Oc. Life spans of tires Life spans of tires Life spans of tires 25 02 25 800 46.174 46,374 252 46374 Distance (in miles) Distance (in miles) Distance (in miles) Is it reasonable assume that the life spans are normally distributed? Why? Choose the correct answer below. O A. No, because the histogram is neither symmetric nor bell-shaped. OB. Yes, because the histogram is neither symmetric nor bell-shaped. c. Yes, because the histogram is symmetric and bell-shaped. O D. No, because the histogram is symmetric and bell-shaped. (b) Find the mean of your sample. The mean is 35851.1. (Round to one decimal place as needed.) Find the standard deviation of your sample. The standard deviation is (Round to one decimal place as needed.)
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