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Which inference method?

a. Drowning in bathtubs is a major cause of death in children less than5years old. A random sample of parents was asked many questions related to bathtub safety. Overall,85%of the sample said they used baby bathtubs for infants. Estimate the percent of all parents of young children who use baby bathtubs.

b. How seriously do people view speeding in comparison with other annoying behaviors? A large random sample of adults was asked to rate a number of behaviors on a scale of1(no problem at all) to5(very severe problem). Do speeding drivers get a higher average rating than noisy neighbors?

c. You have data from interviews with a random sample of students who failed to graduate from a particular college in7years and also from a random sample of students who entered at the same time and did graduate within7years. You will use these data to estimate the difference in the percent's of students from rural backgrounds among dropouts and graduates.

d. Do experienced computer-game players earn higher scores when they play with someone present to cheer them on or when they play alone? Fifty teenagers with experience playing a particular computer game have volunteered for a study. We randomly assign25 of them to play the game alone and the other25to play the game with a supporter present. Each player鈥檚 score is recorded.

Short Answer

Expert verified

(a) The inference method is a one-sample z interval for proportion.

(b) The inference method is a one-sample t-interval for the mean.

(c) The inference method is a one-sample z interval for proportion.

(d) The inference method is a one-sample z interval for proportion.

Step by step solution

01

Part (a) Step 1: Given Information

We are given that drowning in bath tubs is major cause of death of children and we have to find out the inference method.

02

Part (a) Step 2: Explanation

According to the question, when we use null hypothesis or confidence interval for proportion, we use z-test or z-interval and it is given in the sample that the proportion of infants death in drawing bathtubs and for that use z-interval.

Hence, z-interval is used.

03

Part (b) Step 1: Given Information

We are given that people view speeding in comparison with other annoying behaviors, and we have to find out the inference method.

04

Part (b) Step 2: Explanation

According to the question, when we use null hypothesis or confidence interval for mean, we use t-test or t-interval, and it is given in the sample that the two subjects are taken and they are the same and dependent on each other, and use paired test or paired interval.

Hence, t-interval is used.

05

Part (c) Step 1: Given Information

We are given data from interviews with a random sample of students who failed to graduate from a particular college and we have to find out the inference method.

06

Part (c) Step 2: Explanation

According to the question, when we use null hypothesis or confidence interval for proportions, we use z-test or z-interval, and it is given in the sample that the two subjects are taken and they are different and independent of each other, and use sample test or sample interval.

Hence, z-interval is used.

07

Part (d) Step 1: Given Information

We are given computer game-player experience to earn higher scores when they play with someone present to cheer them on or when they play alone, and we have to find out the inference method.

08

Part (d) Step 2: Explanation

According to the question, when we use null hypothesis or confidence interval for proportions, we use z-test or z-interval, and it is given in the sample that the two subjects are taken and they are different and independent of each other, and use sample test or sample interval.

Hence, z-interval is used.

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Most popular questions from this chapter

According to sleep researchers, if you are between the ages of 12and 18years old, you need 9 hours of sleep to function well. A simple random sample of 28students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was 7.9hours with a standard deviation of 2.1hours.

Which of the following is the standardized test statistic for the hypothesis test ?

  1. localid="1654221307488" t=7.9-92.128andt=7.9-92.128
  2. t=9-7.92.128andt=9-7.92.128
  3. t=7.9-92.128and t=7.9-92.128
  4. localid="1654221494579" t=7.9-92.127andt=7.9-92.127
  5. localid="1654221497857" t=9-7.92.127andt=9-7.92.127

Steroids in high school Refer to Exercise 16.

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?

Candles A company produces candles. Machine 1 makes candles with a mean

length of 15cm and a standard deviation of 0.15cm. Machine 2 makes candles with a

mean length of 15cm and a standard deviation of 0.10cm. A random sample of 49

candles is taken from each machine. Let x 虅1鈭抶 虅2 be the

difference (Machine 1 鈥 Machine 2) in the sample mean length of candles. Describe the

shape, center, and variability of the sampling distribution of x 虅1鈭抶 虅2.

Sports Illustrated planned to ask a random sample of Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥 Which of the following is the smallest number of athletes that must be interviewed to estimate the true proportion who believe performance-enhancing drugs are a problem within 2% with 90% confidence?

a.17b.21c.1680d.1702e.2401

Which of the following describes a Type II error in the context of this study?

a. Finding convincing evidence that the true means are different for males and females when in reality the true means are the same

b. Finding convincing evidence that the true means are different for males and females when in reality the true means are different

c. Not finding convincing evidence that the true means are different for males and females when in reality the true means are the same

d. Not finding convincing evidence that the true means are different for males and females when in reality the true means are different

e. Not finding convincing evidence that the true means are different for males and females when in reality there is convincing evidence that the true means are different.

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