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Chapter 10: Q. 40 (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.

At the 1 % significance level, what is your conclusion?

Short Answer

Expert verified

From the sample data, there is insufficient evidence to conclude that plant food rises as plant height increases, rather than not feeding the plants.

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

At the 1% significance level, what is your conclusion.

Since, a<p- value that is 0.01<0.0198

To not rule out the null hypothesis.

From the sample data, there is insufficient evidence to conclude that plant food rises as plant height increases, rather than not feeding the plants.

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Most popular questions from this chapter

A study is done to determine if students in the California state university system take longer to graduate than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. From years of research, it is known that the population standard deviations are 1.5811 years and one year, respectively.

Indicate which of the following choices best identifies the hypothesis test.

a. Independent group means, population standard deviation and/or variances known

b. Independent group means, population standard deviation and/or variances unknown

c. Matched or paired samples.

d. Single mean

e. Two proportions.

f. Single proportion.

It is believed that 70%of males pass their drivers test in the first attempt, while 65%of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.

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

88. If the level of significance is 0.05, the conclusion is:
a. There is sufficient evidence to conclude that the WDivision teams score fewer goals, on average, than the E teams
b. There is insufficient evidence to conclude that the W Division teams score more goals, on average, than the E teams.
c. There is insufficient evidence to conclude that the W teams score fewer goals, on average, than the E teams score.
d. Unable to determine

In a random sample of 100 forests in the United States, 56 were coniferous or contained conifers. In a random sample of 80 forests in Mexico, 40 were coniferous or contained conifers. Is the proportion of conifers in the United States statistically more than the proportion of conifers in Mexico?

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Calculate the test statistic and p-value.
See all solutions

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