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Chapter 9: Q 103. (page 610)

You are testing H0:渭=10against Ha:渭<10based on an SRS of20

observations from a Normal population. The t statistic is t=鈭�2.25

The P-value

a. falls between 0.01 and 0.02.

b. falls between 0.02 and 0.04.

c. falls between 0.04 and 0.05.

d. falls between 0.05 and 0.25.

e. is greater than 0.25.

Short Answer

Expert verified

The correct option is (a) falls between falls between 0.01 and 0.02

Step by step solution

01

Given information

Sample size(n)=20

Test statistic(t)=鈭�2.25

The null and alternative hypotheses are:

H0:渭=10Ha:渭<10

02

Explanation

According to the alternative hypothesis, the test is one-tailed.

The degree of freedom can be determined using the following formula:

Degreeoffreedom(df)=n鈭�1=20鈭�1=19

The p-value can be calculated as:

P鈭�value=P(t>|t|)=P(t>|鈭�2.25|)=0.018

Thus, it could be said that P-value lies between0.01and0.02

Hence, the correct option is (a).

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Most popular questions from this chapter

A milk processor monitors the number of bacteria per milliliter in raw milk received at the factory. A random sample of 10one-milliliter specimens of milk supplied by one producer gives the following data:

Construct and interpret a 90% confidence interval for the population mean 渭.

Which of the following 95%confidence intervals would lead us to reject H0:p=0.30in favor of Ha:pnotequalto0.30at the 5%significance level?

a. (0.19,0.27)

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Restaurant power Refer to Exercise 86 Determine if each of the following changes would increase or decrease the power of the test. Explain your answers.

a. Use a random sample of 30 people instead of 50 people.

b. Try to detect that 渭=\(85,500 instead of 渭=\)86,000

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Battery life A tablet computer manufacturer claims that its batteries last an average of 10.5 hours when playing videos. The quality-control department randomly selects 20 tablets from each day鈥檚 production and tests the fully charged batteries by playing a video repeatedly until the battery dies. The quality control department will discard the batteries from that day鈥檚 production run if they find convincing evidence that the mean battery life is less than 10.5 hours. Here are a dot plot and summary statistics of the data from one day:

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