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Assume that the weights of apples are normally distributed with a mean of 100 gramsand a standard deviation of 11 grams. The owner of a certain orchard is checkingan outgoing shipment of apples because she believes that they may be underweighton average due to poor weather this season. To test this, she takes a sample of 10apples from the shipment and records an average weight of 91 grams.
(a) State the null and alternative hypotheses in this case using correct statistical notation. Define the variable used. Is this a one-tailed or two-tailed test?
(b) State the null and alternative hypotheses using words instead of statistical notation.
(c) What conclusion would the orchard owner make regarding this shipment ofapples at a significance level of α = 0.05 if the p-value for the sample mean is 0.015?
To produce x units of a particular commodity, a monopolist has a total cost of C(x) = 2x2 + 3x + 5. Find profit function P(x) = R(x) - C(x) and sketch its graph. For what level of production is profit maximized?
Determine the maximum and minimum values for the following set.
Calculate the mean and the standard deviation of the total score?
Determine the probability that the test will conclude the cost of owning a car in Los Angeles is not more than 10% less than in Detroit when in fact the average cost is $10,361.
An investment grows by 35% over a 6-year period. What is its effective annual percent growth rate?
A local hamburger shop sold a combined total of 716 hamburgers and cheeseburgers on Saturday. There were 66 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Suppose that Connecticut decided to increase its tax rates by 20% and add a filing fee of $100. Write a function for the new state income tax.
a right triangle has a hypotenuse of length 3.00 m and one of its angles 30.0. what are the lengths of the side
What was the population distribution in that state at the beginning of 2000? (Round your answers to one decimal place.)
Find the area bounded by the graphs- f(x) = x2 and g(x) = x3
Calculate and compare the labor, raw material and supplies and total productivity for 2004 and 2005. What conclusion might your calcualtions lead you to believe about productivity compared between years 2004 and 2005?
Given a multistory building with a floor-to-floor height of 10 ft and an optimal riser height of 7 in., how many treads would you use for a U-shaped stair with a mid-landing between floors? (The landing is not counted as a tread.)
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