Chapter 9: Q 60. (page 565)
Which of the following confidence intervals would lead us to reject H0 : in favor of
Ha :p not equal to at the significance level?
Short Answer
The correct option is (b)
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Chapter 9: Q 60. (page 565)
Which of the following confidence intervals would lead us to reject H0 : in favor of
Ha :p not equal to at the significance level?
The correct option is (b)
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The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking right-handed students to turn a knob (with their right hands) that moved an indicator. There were two identical instruments, one with a right-hand thread (the knob turns clockwise) and the other with a left-hand thread (the knob must be turned counterclockwise). Each of the students used both instruments in a random order. The following table gives the times in seconds each subject took to move the indicator a fixed distance:

(a) Explain why it was important to randomly assign the order in which each subject used the two knobs.
(b) The project designers hoped to show that right-handed people find right-hand threads easier to use. Carry out a significance test at the significance level to investigate this claim
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 .
For the study of Jordanian children in Exercise 4, the sample mean hemoglobin level was 11.3 g/dl and the sample standard deviation was 1.6 g/dl. A significance test yields a P-value of 0.0016.
(a) Interpret the P-value in context.
(b) What conclusion would you make if = 0.05? = 0.01? Justify your answer.
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
Bottles of a popular cola are supposed to contain milliliters (ml) of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. From experience, the distribution of the contents is approximately Normal. An inspector measures the contents of six randomly selected bottles from a single day’s production. The results are Do these data provide convincing evidence that the mean amount of cola in all the bottles filled that day differs from the target value of ? Carry out an appropriate test to support your answer
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