Use the normal distribution to approximate the desired probability. A coin is to

Question

Use the normal distribution to approximate the desired probability. A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 16 tosses. What is the probability of being correct 16 or more times by guessing? Does this probability seem to verify her claim? A) 0.4931, yes B) 0.0069, yes C) 0.0069, no D) 0.4931, no Determine whether the given conditions justify testing a claim about a population mean mu. The sample size is n = 30, sigma = 13.6, and the original population is not normally distributed. A) Yes B) No Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. Suppose you wish to test the claim that mu_d, the mean value of the differences d for a population of paired data, is different from 0. Given a sample of n = 23 and a significance level of alpha = 0.05, what criterion would be used for rejecting the null hypothesis? A) Reject null hypothesis if test statistic > 2.069 or 2.074 or 1.717. D) Reject null hypothesis if test statistic > 1.717 or

Explanation / Answer

15.

n = 20 times

x= 16

We apply the binomial disttribution :

P(X>=16) = 20C16(.5^20) + ..+ 20C20(.5^20)

=0.0069

B ,. Yes, this seems to verigy her claim about her extrasensory powers.

THis is because the probability of such a result is very low .0069 , and hence, is not possible given the coin are picked randomly.

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