A company has developed an electric car they say can travel over 500mues on a single charge. A consumer car magazine wants to test this claim. Themagazine randomly selects 16 owners of the car and ask them to measure how farthe car can travel on a full charge. The mean distance traveled by these 16 cars was510 miles with a standard deviation of 20 miles. Test the hypothesis that the meandistance the car can travel on a single charge is greater than 500 miles. Use a 0.05level of significance. (Assume that the distances the car can travel on one charge arenormally distributed.)(a) State the null and alternative hypothesis.(b) Will this be a right-tailed, left-tailed, or two-tailed test?(c) Calculate the test statistic assuming the null hypothesis is true.T =%3D(d) Use the test statistic to calculate the P-value for the test.P- value =(e) Does the data provide enough evidence to conclude that, at the 5% significancelevel, the mean distance this car can travel with a full charge is greater than500 miles?

Given: n= 16.0 ,x̄= 510.0 ,s= 20.0 µ= 500.0 ,significance level(∝)= 0.05 ,degree of freedom= 15.0

Answered: A company has developed an electric car…

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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Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The Bombardier Dash 8 aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6200 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6200lb/37 = 167.6lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 185.47 lb and a standard deviation of 39 lb. make sure to include pdf
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