claims of a tire manufacturer. The manufacturer claims that the life spans of the tires are normally distributed, with a mean of 40,000 mles 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 O 23,231 29,347 34,274 36,641 30,122 36,334 33,621 44,904 Distance (in miles) Distance (n miles) Distance (in miles) Is it reasonable to 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. The standard deviation is 7158.7. (Round to one decimal place as needed.) (c) Compare the mean and standard deviation of your sample with those in the manufacturer's claim. Discuss the differences. Choose the correct answer below. O A. The sample mean is less than the claimed mean, so, on average, the tires in the sample lasted for a shorter time. The sample standard deviation is less than the claimed standard deviation, so the tires in the sample had a smaller variation in life span. O B. The sample mean is less than the claimed mean, so, on average, the tires in the sample lasted for a shorter time. The sample standard deviation i variation in life span. greater than the claimed standard deviation, so the tires in the sample had a greater O C. The sample mean is greater than the claimed mean, so, on average, the tires in the sample lasted for a longer time. The sample standard deviation is greater than the claimed standard deviation, so the tires in the sample had a greater variation in life span.
claims of a tire manufacturer. The manufacturer claims that the life spans of the tires are normally distributed, with a mean of 40,000 mles 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 O 23,231 29,347 34,274 36,641 30,122 36,334 33,621 44,904 Distance (in miles) Distance (n miles) Distance (in miles) Is it reasonable to 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. The standard deviation is 7158.7. (Round to one decimal place as needed.) (c) Compare the mean and standard deviation of your sample with those in the manufacturer's claim. Discuss the differences. Choose the correct answer below. O A. The sample mean is less than the claimed mean, so, on average, the tires in the sample lasted for a shorter time. The sample standard deviation is less than the claimed standard deviation, so the tires in the sample had a smaller variation in life span. O B. The sample mean is less than the claimed mean, so, on average, the tires in the sample lasted for a shorter time. The sample standard deviation i variation in life span. greater than the claimed standard deviation, so the tires in the sample had a greater O C. The sample mean is greater than the claimed mean, so, on average, the tires in the sample lasted for a longer time. The sample standard deviation is greater than the claimed standard deviation, so the tires in the sample had a greater variation in life span.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
Transcribed Image Text:You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer daims 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
23,231 29,347 34,274 36,641 30,122 36,334 33,621 44,904
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.
O B. Yes, because the histogram is neither symmetric nor bell-shaped.
Yc. Yes, because the histogram is symmetric and bel-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 7158.7. (Round to one decimal place as needed.)
(c) Compare the mean and standard deviation of your sample with those in the manufacturer's claim. Discuss the differences. Choose the corect answer below.
O A. The sample mean is less than the claimed mean, so, on average, the tires in the sample lasted for a shorter time. The sample standard deviation is less than the claimed standard deviation, so the tires in the sample had a smaller
variation in life span.
O B. The sample mean is less than the claimed mean, so, on average, the tires in the sample lasted for a shorter time. The sample standard deviation
variation in life span.
greater than the claimed standard deviation, so the tires in the sample had a greater
O C. The sample mean is greater than the claimed mean, so, on average, the tires in the sample lasted for a longer time. The sample standard deviation is greater than the claimed standard deviation, so the tires in the sample had a greater
variation in life span.
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