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Chapter 10: Q. 10.1 (page 571)
Two samples are shown in Table . Both have normal distributions. The means for the two populations are thought to be the same. Is there a difference in the means? Test at the level of significance.
There isn't enough data to establish that the two populations' means aren't the same.
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Use the following information to answer the next exercises: Indicate if the hypothesis test is for
a. independent group means, population standard deviations, and/or variances known
b. independent group means, population standard deviations, and/or variances unknown
c. matched or paired samples
d. single mean
e. two proportions
f. single proportion
The average worker in Germany gets eight weeks of paid vacation.
Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the significance level.
What is the p-value?
In two to three complete sentences, explain in detail how you might use Terri Vogel鈥檚 data to answer the following
question. 鈥淒oes Terri Vogel drive faster in races than she does in practices?鈥�
Use the following information to answer the next five exercises. The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.
At the 1 % significance level, what is your conclusion?
Weighted alpha is a measure of risk-adjusted performance of stocks over a period of a year. A high positive weighted alpha signifies a stock whose price has risen while a small positive weighted alpha indicates an unchanged stock price during the time period. Weighted alpha is used to identify companies with strong upward or downward trends. The weighted alpha for the top stocks of banks in the northeast and in the west as identified by Nasdaq on May are listed in Table and Table respectively
Is there a difference in the weighted alpha of the top stocks of banks in the northeast and in the west? Test at a significance level. Answer the following questions:
a. Is this a test of two means or two proportions?
b. Are the population standard deviations known or unknown?
c. Which distribution do you use to perform the test?
d. What is the random variable?
e. What are the null and alternative hypotheses? Write the null and alternative hypotheses in words and in symbols.
f. Is this test right, left, or two tailed?
g. What is the p-value?
h. Do you reject or not reject the null hypothesis?
i. At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that ______.
j. Calculate Cohen鈥檚 d and interpret it
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