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Problem 4 A company producing electric cars advertise a reach of 500 km for a certain model. On suspicion that the company was exaggerating the reach in their advertising, an independent test was done on six different cars. The test gave the following reach in km. We assume that the reach of electric cars follows a normal distribution. 465, 460, 490, 480, 470, 485 a) What are the sample mean and sample standard deviation? b) Estimate a 95 % two tailed confidence interval for the population mean. c) Use a t-test to determine whether there is reason to believe that the company has been exaggerating the car's reach (even though the sample is small). Test at the 5 % level. d) Show how you conclude using a diagram.

Problem 4 A company producing electric cars advertise a reach of 500 km for a certain model. On suspicion that the company was exaggerating the reach in their advertising, an independent test was done on six different cars. The test gave the following reach in km. We assume that the reach of electric cars follows a normal distribution. 465, 460, 490, 480, 470, 485 a) What are the sample mean and sample standard deviation? b) Estimate a 95 % two tailed confidence interval for the population mean. c) Use a t-test to determine whether there is reason to believe that the company has been exaggerating the car's reach (even though the sample is small). Test at the 5 % level. d) Show how you conclude using a diagram.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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Proble m 4 A company producing electric cars advertise a reach of 500 km for a certain model. On suspicion that the company was exaggerating the reach in their advertising, an independent test was done on six different cars. The test gave the following reach in km. We assume that the reach of electric cars follows a normal distribution. 465, 460, 490, 480, 470, 485 a) What are the sample mean and sample standard deviation? b) Estimate a 95 % two tailed confidence interval for the population mean. c) Use a t-test to determine whether there is reason to believe that the company has been exaggerating the car's reach (even though the sample is small). Test at the 5 % level. d) Show how you conclude using a diagram.
Transcribed Image Text:Proble m 4 A company producing electric cars advertise a reach of 500 km for a certain model. On suspicion that the company was exaggerating the reach in their advertising, an independent test was done on six different cars. The test gave the following reach in km. We assume that the reach of electric cars follows a normal distribution. 465, 460, 490, 480, 470, 485 a) What are the sample mean and sample standard deviation? b) Estimate a 95 % two tailed confidence interval for the population mean. c) Use a t-test to determine whether there is reason to believe that the company has been exaggerating the car's reach (even though the sample is small). Test at the 5 % level. d) Show how you conclude using a diagram.
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