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Based on your answer to Question 1.3, would you be surprised if the difference in the mean amount of liquid dispensed in the two samples was12ounces? Explain

Short Answer

Expert verified

No because the probability is very low.

Step by step solution

01

Given information

Sample meanx1=27

Sample meanx2=17

Standard deviation1=0.8

Standard deviation2=0.5

02

Explanation

Px1-x2>12=0

The obtained difference probability is 0which is too tiny. As a result, claiming that the entire difference in the mean volume of liquid discharged was 12ounces is impossible.

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Most popular questions from this chapter

Which of the following is false?

(a) A measure of center alone does not completely describe the characteristics of a set of data. Some measure of spread is also needed.

(b) If the original measurements are expressed in inches, the standard deviation would be expressed in square inches.

(c) One of the disadvantages of a histogram is that it doesn鈥檛 show each data value.

(d) Between the range and the interquartile range, the IQR is a better measure of spread if there are outliers.

(e) If a distribution is skewed, the median and interquartile range should be reported rather than the mean and standard deviation.

Refer to Exercise 15.

(a) Carry out a significance test at the =0.05level.

(b) Construct and interpret a 95%confidence interval for the difference between the population proportions. Explain how the confidence interval is consistent with the results of the test in part (a).

In an experiment to learn whether Substance M can help restore memory, the brains of 20rats were treated to damage their memories. The rats were trained to run a maze. After a day, 10rats (determined at random) were given M and 7of them succeeded in the maze. Only 2of the 10control rats were successful. The two-sample z test for 鈥渘o difference鈥 against 鈥渁 significantly higher proportion of the M group succeeds鈥

(a) gives z=2.25,P<0.02

(b) gives z=2.60,P<0.005

(c) gives z=2.25,P<0.04but not <0.02

(d) should not be used because the Random condition is violated

(e) should not be used because the Normal condition is violated.

According to sleep researchers, if you are between the ages of 12and18years old, you need 9hours of sleep to be fully functional. 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.If we are interested in whether students at this high school are getting too little sleep, which of the following represents the appropriate null and alternative hypotheses?

(a) H0:=7.9andHa:<7.9

(b) H0:=7.9andHa:7.9

(c) H0:=9andHa:9

(d)H0:=9andHa:<9

(e)H0:9andHa:9

Coaching and SAT scores (10.1) What proportion of students who take the SAT twice are coached? To answer this question, Jannie decides to construct a 99%confidence interval. Her work is shown below. Explain what鈥檚 wrong with Jannie鈥檚 method.

A 99%CI for p1-p2is

(0.135-0.865)2.5750.135(0.865)3160+0.865(0.135)2733=-0.730.022=(-0.752,-0.708)

We are 99% confident that the proportion of students taking the SAT twice who are coached is between 71 and 75 percentage points lower than students who aren鈥檛 coached.

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