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Chapter 10: Q.39 (page 598)

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

Draw the graph of the p-value.

Short Answer

Expert verified

The graph of the p-value is

Step by step solution

01

Given Information

The table is

Plant Group
Sample Mean Height of Plants (inches)
Population Standard Deviation
Food162.5
No food141.5
02

Graph of the p-value.

The graph of the p- value is

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Most popular questions from this chapter

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.

Does it appear that the proportion of Nevadans who are two or more races is higher than the proportion of NorthDakotans? Why or why not?

Two types of valves are being tested to determine if there is a difference in pressure tolerances. Fifteen out of a random sample of 100of Valve Acracked under 4500psi.Six out of a random sample of 100of Valve Bcracked under 4500psi.Test at a5% level of significance.

Ten individuals went on a low鈥揻at diet for 12 weeks to lower their cholesterol. The data are recorded in Table 10.30. Do you think that their cholesterol levels were significantly lowered?

Starting cholesterol levelEnding cholesterol level140140220230110120240220200190180150190200360300280300260240

Use the following information to answer the next two exercises. A new AIDS prevention drug was tried on a group of 224 HIV positive patients. Forty-five patients developed AIDS after four years. In a control group of 224 HIV positive patients, 68 developed AIDS after four years. We want to test whether the method of treatment reduces the proportion of patients that develop AIDS after four years or if the proportions of the treated group and the untreated group stay the same.

Let the subscript t=treated patient and ut=untreated patient.

If the p-value is 0.0062 what is the conclusion (use 伪 = 0.05)?

a. The method has no effect.

b. There is sufficient evidence to conclude that the method reduces the proportion of HIV positive patients who develop AIDS after four years.

c. There is sufficient evidence to conclude that the method increases the proportion of HIV positive patients who develop AIDS after four years.

d. There is insufficient evidence to conclude that the method reduces the proportion of HIV positive patients who develop AIDS after four years.
Use the following information to answer the next three exercises. Neuroinvasive West Nile virus is a severe disease that affects a person's nervous system . It is spread by the Culex species of mosquito. In the United States in 2010 there were 629 reported cases of neuroinvasive West Nile virus out of a total of 1,021 reported cases and there were 486 neuroinvasive reported cases out of a total of 712 cases reported in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases? Using a1%level of significance, conduct an appropriate hypothesis test.
  • "2011" subscript: 2011 group.
  • "2010" subscript: 2010 group

(a) a test of two proportions
(b) a test of two independent means
(c) a test of a single mean
(d) a test of matched pairs.
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