Electric vehicles are often categorized by the range of
Last updated: 4/19/2023
Electric vehicles are often categorized by the range of miles that can be travelled on a single battery charge since charging stations are not yet widespread in the United States The latest model of a certain brand of electric car is reported to have an average range of 220 miles An auto industry journalist would like to verify this claim since she believes that the true range of the car may be less than 220 miles The journalist selected and tested a random sample of 87 cars of this model and found that the average range of the sample was 207 4 miles with a standard deviation of 39 5 miles Apply the p value method to test the hypothesis that the average range electric car model is less than 220 miles using a significance level of 1 State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed two tailed left tailed right tailed Should the standard normal 2 distribution or Student s t distribution be used for this test The standard normal 2 distribution should be used The Student st distribution should be used this Determine the test statistic for the hypothesis test Round the solution to four decimal places Determine the p value range for the hypothesis test p value 0 0005 0 0005 p value 0 005 0 005 p value 0 01 0 01 p value 0 025 0 025 p value 0 05 0 05 p value 0 10 p value 0 10 Determine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the alternative hypothesis that the average range of this electric car is less than 220 miles and thus we conclude that the true range of this electric car is likely 220 miles The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average range of this electric car is less than 220 miles and thus we conclude that the true range of this electric car is likely less than 220 miles The sample data provide sufficient evidence to reject the null hypothesis that the average range of this electric car is 220 miles and thus we conclude that the true range of the electric car is likely less than 220 miles The sample data do not provide sufficient evidence to reject the null hunothe