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Chapter 9: Q.9 (page 546)
In planning a study of the birth weights of babies whose mothers did not see a doctor
before delivery, a researcher states the hypotheses as
The problem is correct as the population mean value is as per null hypothesis and population mean value is less than as per alternative hypothesis,
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Roulette an American roulette wheel has red slots among its slots.In a random sample of pins,the ball lands in a red slot times.
(a) Do the data give convincing evidence that the wheel is unfair? Carry out an appropriate test at thesignificance level to help answer this question.
(b) The casino manager uses your data to produce a confidence interval for and gets role="math" localid="1650358305073" . He says that this interval provides convincing evidence that the wheel is fair. How do you respond?
- If conditions are met, conduct a one-sample \(t\) test about a population mean \(\mu\).
Two-sided test The one-sample t statistic from a sample of observations for the two-sided test of has the value .
(a) Find the P-value for this test using (i) Table and (ii) your calculator. What conclusion would you draw at the significance level? At the significance level?
(b) Redo part (a) using an alternative hypothesis of .
After checking that conditions are met, you perform a significance test of versus . You obtain a value of . Which of the following is true?
(a) Aconfidence interval for will include the value
(b) A confidence interval forwill include the value .
(c) A confidence interval forwill include the value
(d) A confidence interval for will include the value
(e) None of these is necessarily true.
Refer to Exercise 79. Construct and interpret a confidence interval for the population mean M. What additional information does the confidence interval provide .
A confidence interval for a population mean is calculated to be . Assume that the conditions for performing inference are met. What conclusion can we draw for a test of role="math" localid="1650275427722" versus at the level based on the confidence interval?
(a) None. We cannot carry out the test without the original data.
(b) None. We cannot draw a conclusion at the level since this test is connected to the confidence interval.
(c) None. Confidence intervals and significance tests are unrelated procedures.
(d) We would reject at level .
(e) We would fail to reject at level .
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