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Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this product is 35 hours. The distribution of the battery lives closely follows the normal probability distribution with a standard deviation of 5.6 hours. As a part of their testing program Sony tests samples of 9 batteries.
(a) What can you say about the shape of the distribution of sample mean?
Sample mean (Click to select)BinomialUniformNormal
(b) What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal place.)
Sample mean
(c) What proportion of the samples will have a mean useful life of more than 37 hours? (Round your answer to 4 decimal place.)
Samples mean
(d) What proportion of the sample will have a mean useful life greater than 33 hours? (Round your answer to 4 decimal place.)
(e) What proportion of the sample will have a mean useful life between 33 and 37 hours? (Round your answer to 4 decimal place.)
Find the volume of the solid generated by revolving the region bounded by the graph of y=x*sqrt(4-x squared), y=0 about the x axis.
McBurger's fast-food restaurant has a drive-through window with a single window with a single server who takes orders from an intercom and also is the cashier
Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
Suppose that each member of a set of people has a list of k books which he or she wishes to borrow from a library. SUppose also that each book appears on exactly k lists. Show that it is possible for everyone to borrow one of the books on his or h..
The cost per unit of producing each product will be determined by whether a new union labor contract passes or fails. The cost per unit of each product, giving each contract result is shown in the following pay off table.
The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds and 10 inches from the floor when the w..
The J.P. Atkins Company will soon be introducing a new product. Estimates have been made of the monthly profit that would be generated by this product for each of four alternative values of the monthly production rate, as shown below.
Suppose you are going to flip a coin once. What is the set of possible outcomes for this? Suppose you are going to flip a coin twice. What is the set of possible outcomes for this?
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