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A consumer agency suspects that a pet food company may be underfilling packages for one of its brands. The package label states "1600 grams net weight," and the president of the company claims the average weight is at least 1600 grams. For a simple random sample of 35 boxes collected by the consumer agency, the mean and standard deviation were 1591.7 grams and 18.5 grams, respectively.
a. At the 0.05 level of significance, what conclusion should be reached by the consumer agency? Would the president of the company prefer to use a different level of significance in reaching a conclusion? Explain.
b. Use the decision rule associated with part (a) and a range of selected assumed values for in constructing the power curve for the test.
You plan to obtain a simple random sample of 30 students by using the sampling frame of students present next Monday.
Refer to Exercise 10.14 (p. 578). The researchers concluded that "in order to break a water-oil mixture with ' the lowest possible voltage, the volume fraction of the disperse phase x, should be high, while the salinity x2 and the amount of su..
Average cost of $3,200 for products. n=25. After review it seems mean cost is $2,000 with a standard deviation of $150. Test that average cost is $3,200 or more versus $2,000. assume level of significance of .05.
Prove, without applying Theorem 1.5.1, that the well-ordering principle implies AC. Caution: Is it clear that the possibly very large family of sets A(x ) can all be well-ordered simultaneously, so that there is a function f on I such that for eac..
The values from the boundaries of the critical region for a two-tailed test using a sample size of n=9 scores and an alpha level of 0.05
Suppose that P, the price of a certain commodity (in dollars), and S, its total sales (in 10,000 units), are random variables whose joint probability distribution can be approximated closely with the joint probability density
What statistical tests can perform to compare two groups asked the same question, when the question has a yes/no answer and the sample groups are different.
consider two random variables x and y. suppose that the variance of x is 20 that this of y is 10 and that the
Use the uniform random numbers in cells C10:C15 of Fig. 22.1 to generate six random observations for each of the following situations.
a researcher uses a repeated-measures study to compare two treatment conditions with a set of 20 scores in each
A projectile is fired from the platform at B. The shooter fires his gun from point A at an angle 30° of . Determine the muzzle speed of the bullet if it hits the projectile at C
Let (X, S, µ) and (Y, T , ν) be two measure spaces. Let { fn } be an orthonormal basis of L2(X, S, µ) and {gn } an orthonormal basis of L2(Y, T , ν). Show that the set of all functions hmn (x, y) := fm (x )gn (y) is an orthonormal basis of L2(X × ..
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