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Chapter 8: Q 72. (page 542)

Fruit fly thorax lengths Fruit flies are used frequently in genetic research because of their quick reproductive cycle. The length of the thorax (in millimeters) was measured for each fly in a random sample of 49male fruit flies. The mean length was x炉=0.8004mm, with a standard deviation of sX=0.0782mmmm. Construct and interpret a 90%confidence interval for the true mean thorax length of a male fruit fly.

Short Answer

Expert verified

Required confidence interval is(0.7817,0.8191)

Step by step solution

01

Given Information

It is given that n=14

(x炉)=0.8004

sx=0.0782

02

Concept Used

Formula to be used isx炉-ta2,n-1脳sn<渭<x炉+ta2,n-1脳sn

03

Calculation

  • In MINTAB Sheet, enter data set.
  • Press Stat>Basic Statistics>1-Sample t.
  • Choose summarized data. Enter given values.
  • Check options and enter 90%in confidence level.
  • Press OK.

Output obtained is:

Confidence Interval is (0.7817,0.8191)

There is 95%confidence that true mean length lies between0.7817and0.8191

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Most popular questions from this chapter

Age and video games Refer to Exercise 41. The study also estimated that 67% of adults aged 18鈥�29play video games, but only 25%of adults aged 65and older play video games.

a. Explain why you do not have enough information to give confidence intervals for these two age groups separately.

b. Do you think a 95% confidence interval for adults aged 18鈥�29 would have a larger or smaller margin of error than the estimate from Exercise 41? Explain your answer.

More cheating Refer to Exercise 36. Calculate and interpret the standard error of p^for these data.

Engine parts A random sample of 16 of the more than 200auto engine crankshafts produced in one day was selected. Here are measurements (in millimeters) of a critical component on these crankshafts:

a. Construct and interpret a 95%confidence interval for the mean length of this component on all the crankshafts produced on that day.

b. The mean length is supposed to be 渭=224mm but can drift away from this target during production. Does your interval from part (a) suggest that the mean has drifted from 224mm? Explain your answer.

The researcher is deciding between a 95% confidence level and a 99% confidence level. Compared with a 95% confidence interval, a 99% confidence interval will be

a. narrower and would involve a larger risk of being incorrect.

b. wider and would involve a smaller risk of being incorrect.

c. narrower and would involve a smaller risk of being incorrect.

d. wider and would involve a larger risk of being incorrect.

e. wider and would have the same risk of being incorrect.

School vouchers A small pilot study estimated that 44%of all American

adults agree that parents should be given vouchers that are good for education at any public or private school of their choice.

a. How large a random sample is required to obtain a margin of error of at most 0.03with 99%confidence? Answer this question using the pilot study鈥檚 result as the guessed value for p^

b. Answer the question in part (a) again, but this time use the conservative guessp^=0.5. By how much do the two sample sizes differ?
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