Topic: Hypothesis test for the population mean: Z test On a standard anagram task (anagrams are sets of scrambled letters that must be arranged to form words), people successfully complete a mean, μ , of 25 anagrams. The standard deviation of this number is 6 anagrams. A researcher claims that the arousal from anxiety is distracting and will decrease task performance and, hence, decrease the mean number of anagrams completed. A random sample of 50 anxiety-ridden subjects was tested on the task, and the mean number of anagrams solved was 23. Can we support the researcher's claim at the 0.05 level of significance? (Assume no change in the population standard deviation among anxiety-ridden subjects.) Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) I know H0: (mean) = 25 & H1: (mean) < 25 & that I use a Z-test - Find the value of the test statistic. (Round to three or more decimal places. - Find the critical value. (Round to three or more decimal places.) - Can we support the researcher's claim that the arousal from anxiety will decrease the mean number of anagrams completed?
Topic: Hypothesis test for the population mean: Z test
On a standard anagram task (anagrams are sets of scrambled letters that must be arranged to form words), people successfully complete a mean, μ , of 25 anagrams. The standard deviation of this number is 6 anagrams. A researcher claims that the arousal from anxiety is distracting and will decrease task performance and, hence, decrease the mean number of anagrams completed. A random sample of 50 anxiety-ridden subjects was tested on the task, and the mean number of anagrams solved was 23. Can we support the researcher's claim at the 0.05 level of significance? (Assume no change in the population standard deviation among anxiety-ridden subjects.)
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
I know H0: (mean) = 25
& H1: (mean) < 25
& that I use a Z-test
- Find the value of the test statistic. (Round to three or more decimal places.
- Find the critical value. (Round to three or more decimal places.)
- Can we support the researcher's claim that the arousal from anxiety will decrease the mean number of anagrams completed?
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