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Chapter 10: Q. 3.14 (page 702)

Which of the following is not a property of a binomial setting?

a. Outcomes of different trials are independent.

b. The chance process consists of a fixed number of trials, n.

c. The probability of success is the same for each trial.

d. Trials are repeated until a success occurs.

e. Each trial can result in either a success or a failure.

Short Answer

Expert verified

The correct option is : d. Trials are repeated until a success occurs is not property of a binomial setting

Step by step solution

01

Given information

We need to find that which statement is not property of a binomial setting

02

Explanation

The statement- Trials are repeated until a success occurs is not a binomial setting ;

As this statement is a geometric setting .

The binomial is a kind of distribution that has viable outcomes (the prefix “bi” method , or twice)

A Binomial Distribution indicates either Success or Failure

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Most popular questions from this chapter

A 96% confidence interval for the proportion of the labor force that is unemployed in a certain city is (0.07,0.10). Which of the following statements is true?

a. The probability is 0.96 that between 7%and10% of the labor force is unemployed.

b. About 96% of the intervals constructed by this method will contain the true proportion of the labor force that is unemployed in the city.

c. In repeated samples of the same size, there is a 96% chance that the sample proportion will fall between 0.07and0.10.

d. The true rate of unemployment in the labor force lies within this interval 96% of the time.

e. Between 7%and10%of the labor force is unemployed 96% of the time.

Are teenagers going deaf? In a study of 3000randomly selected teenagers in 1990,450showed some hearing loss. In a similar study of 1800 teenagers reported in 2010,351showed some hearing loss.

a. Do these data give convincing evidence that the proportion of all teens with hearing

loss has increased at the α=0.01 significance level?

b. Interpret the P-value from part (a) in the context of this study.

Thirty-five people from a random sample of 125 workers from Company A admitted

to using sick leave when they weren’t really ill. Seventeen employees from a random

sample of 68 workers from Company B admitted that they had used sick leave when

they weren’t ill. Which of the following is a 95% confidence interval for the difference

in the proportions of workers at the two companies who would admit to using sick

leave when they weren’t ill?

(a) 0.03±(0.28)(0.72)125+(0.25)(0.75)68

(b) 0.03±1.96(0.28)(0.72)125+(0.25)(0.75)68

(c) 0.03±1.645(0.28)(0.72)125+(0.25)(0.75)68

(d) 0.03±1.96(0.269)(0.731)125+(0.269)(0.731)68

(e)0.03±1.645(0.269)(0.731)125+(0.269)(0.731)68

On your mark In track, sprinters typically use starting blocks because they think it will help them run a faster race. To test this belief, an experiment was designed where each sprinter on a track team ran a 50-meter dash two times, once using starting blocks and once with a standing start. The order of the two different types of starts was determined at random for each sprinter. The times (in seconds) for 8 different sprinters are shown in the table.

a. Make a dotplot of the difference (Standing - Blocks) in 50-meter run time for each sprinter. What does the graph suggest about whether starting blocks are helpful?

b. Calculate the mean difference and the standard deviation of the differences. Explain why the mean difference gives some evidence that starting blocks are helpful.

c. Do the data provide convincing evidence that sprinters like these run a faster race when using starting blocks, on average?

d. Construct and interpret a 90%confidence interval for the true mean difference. Explain how the confidence interval gives more information than the test in part (b).

Children make choices Refer to Exercise 15.

a. Explain why the sample results give some evidence for the alternative hypothesis.

b. Calculate the standardized test statistic and P-value.

c. What conclusion would you make?
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