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A sample of 150 brand A blade emitters showed a mean lifetime of 1400 hours and a standard deviation of 125 hours. A sample of 175 brand B blade emitters showed a mean lifetime of 1200 hours and a standard deviation of 80 hours.
i. Find the 95% confidence interval for the difference of mean lifetime of the populations of brands A and B.
ii. Find the 99% confidence interval for the difference of mean lifetime of the populations of brands A and B.
iii. At 5% significance level is there sufficient evidence to warrant concluding a significant difference between the mean lifetimes of the populations of brands A and B? Using the confidence interval method, show the steps of your hypothesis test.
a postcard is 6in by 4in.a printing shop will enlarge it so that the longer side is any length up to 3 ft. find the dimensions of the biggest enlargement.
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
s to have an area of 230 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 80 mph can stop i n360 ft, how many feet will it take the same car to stop when it is traveling 70 mph?
However, the daily weather is given in the Celsius scale. Use the table to find a way to convert temperatures from the Celsius to the Fahrenheit scale.
Let R be the shaded region in the first quadrant enclosed by the graphs of y=e^(-x^2), y= 1-cos x, y-axis.
Find the three qualitatively different regimes of growth from the given data - formulation to distinguish and describe three qualitatively different regimes of growth
analyzing the use of large samples in surveys.give your understanding of why people doing polling and opinion surveys
Translate this verbal sentence into a mathematical sentence: The difference between six and twice a number is 4 more than the number.
the average attendance rose to 33,000. Find the demand function, assuming that it is linear. How should ticket prices be set so as to maximize revenue?
In an election between two candidates, 530 votes were cast. If the winner received 210 more votes than the loser, how many votes did the loser receive?
A total of 381 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?
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