A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute 99% confidence interval for the population mean u.

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II. Solve the following problems:
1. A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a
99% confidence interval for the population mean µ.
2. In a study of factors affecting hypnotism, visual analogue scale (VAS) sensory ratings were obtained for 16 subjects. For
these sample ratings, the mean is 8.33 while the standard deviation is 1.96 (based on data from "An Analysis of Factors
That Contribute to the Efficacy of Hypnotic Analgesia," by Price and Barber, Journal of Abnormal Psychology, Vol. 96,
No. 1). At 0.01 level of significance, test the claim that this sample comes from a population with a mean VAS rating of
less than 10.00.
a. Claim (in symbolic form):
b. Ho:_
Ha:
c. level of significance:
test-statistic:
tail of distribution:
d. Decision Rule: Reject Ho if
e. Computation
f. Decision (Reject Ho or Failed to reject Ho)
g. Conclusion
Transcribed Image Text:II. Solve the following problems: 1. A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a 99% confidence interval for the population mean µ. 2. In a study of factors affecting hypnotism, visual analogue scale (VAS) sensory ratings were obtained for 16 subjects. For these sample ratings, the mean is 8.33 while the standard deviation is 1.96 (based on data from "An Analysis of Factors That Contribute to the Efficacy of Hypnotic Analgesia," by Price and Barber, Journal of Abnormal Psychology, Vol. 96, No. 1). At 0.01 level of significance, test the claim that this sample comes from a population with a mean VAS rating of less than 10.00. a. Claim (in symbolic form): b. Ho:_ Ha: c. level of significance: test-statistic: tail of distribution: d. Decision Rule: Reject Ho if e. Computation f. Decision (Reject Ho or Failed to reject Ho) g. Conclusion
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