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Chapter 9: Q 104. (page 610)
You are testing against based on an SRS of
observations from a Normal population. What values of the t statistic are statistically significant at the level?
The correct option is (d)
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Fast connection? How long does it take for a chunk of information to travel
from one server to another and back on the Internet? According to the site
internettrafficreport.com, the average response time is 200 milliseconds (about one-fifth of a second). Researchers wonder if this claim is true, so they collect data on response times (in milliseconds) for a random sample of 14 servers in Europe. A graph of the data reveals no strong skewness or outliers.
a. State an appropriate pair of hypotheses for a significance test in this setting. Be sure to define the parameter of interest.
b. Check conditions for performing the test in part (a).
c. The 95% confidence interval for the mean response time is 158.22 to 189.64
milliseconds. Based on this interval, what conclusion would you make for a test of the hypotheses in part (a) at the 5% significance level?
d. Do we have convincing evidence that the mean response time of servers in the United States is different from 200 milliseconds? Justify your answer.
Walking to school Refer to Exercise 36.
a. Explain why the sample result gives some evidence for the alternative hypothesis.
b. Calculate the standardized test statistic and -value.
c. What conclusion would you make?
Which of the following has the greatest probability?
a.if t has 5 degrees of freedom.
b. if t has 2 degrees of freedom.
c. if z is a standard Normal random variable.
d.if t has 5 degrees of freedom.
e. if z is a standard Normal random variable.
Cell-phone passwords A consumer organization suspects that less than half of parents know their child鈥檚 cell-phone password. The Pew Research Center asked a random sample of parents if they knew their child鈥檚 cell-phone password. Of the parents surveyed, reported that they knew the password. Explain why it isn鈥檛 necessary to carry out a significance test in this setting.
pg
No homework Refer to Exercises 1 and 9. What conclusion would you make at thelevel?
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