C Chegg- Get 24The The likely caure Which Statist Quiz 7 , pEHE Statistics Quiz
ID: 3067343 • Letter: C
Question
C Chegg- Get 24The The likely caure Which Statist Quiz 7 , pEHE Statistics Quiz Quiz 7-PR ?? https:/ ob siue edu/t bdav/p content-rid-25295797 353-00 1 of 1 d- Use the scenario below to answer q uestions 2 and 3. A researcher suspects the mean trough ( symptoms) level If previous studies found the mean trough level of the population to be 3.7 micrograms/ml, and the researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 6. micrograms/mL with a standard deviation of 1.2 the lowest dosage of medication required to see clinical improvemen tion used to treat arthritis is higher than was previously reported in other studies I for a medica micrograms/mL The researcher's hypothesis, for a level of significance of 1%, should resemble which of the following sets of hypothesis? 2. a. Ho: ?-3.7 micrograms/mL: Hi: x > 3.7 micrograms nli alpha-.01 b. Ho: 3.7 micrograms/mL; Hi:x 3.7 micrograms/mL; alpha-.01 c. Ho: ?-3.7 micrograms/mL: Hi : x > 3.7 micrograms mL alpha-99 d. Ho: >3.7 micrograms/mL; Hi: 3.7 micrograms/mL; alpha- .99 3. The decision rule for the hypotheses above is: a. Fail to reject Ho if the Z s -2.326. b. Reject Ho if the t 2 2.692 c. Reject Ho if the Z 2.576 or Z S-2.576. d. Reject Ho if the Z 2 2.326. 4. True or False? A type I error is the probability of incorrectly rejecting Ho when it is true. 5. True or False? A small sample size is the most common reason for a type II error rent ?.arted Fedo" ur. while. Do you want to cleara up for a fresh?hke-new experience? And by the may, wekorne bareExplanation / Answer
Solution:
2(a): H0: Mean = 3.7 and H1 Mean>3.7 and Confidence level is 99% so alpha= 0.01
3(d) This is a one tailed test so from the z table we found out that Z value at alpha= 0.01 is -2.326
If Z>=-2.326 than reject H0 else we are failed to reject H0. So its answer is D.
4(True): Type1 error is the incorrect rejection of true null hypothesis.
5(true) A small sample size is the cause of typrII error
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