Randomly selected statistics students participated in an experiment to test thei

Question

Randomly selected statistics students participated in an experiment to test their ability to determine when 1 min (or 60 sec) has passed. Forty students yielded a sample mean of 56.3 sec. Assuming that = 9.5 sec, use a 0.05 significance level to test the claim that the population mean is equal to 60 sec. Based on the result, does there appear to be an overall perception of 1 min that is relatively close to an actual minute?

(a) ldentify the null hypothesis and alternative hypothesis. O HGH-60 versus H1 : 60 (b) Identify the test statistic. z=| | (Round to two decimal places as needed.) (c) ldentify the P-value. The P-value is (Round to four decimal places as needed.) The P-value isRound to four decimal places as needed.) (d) What is the final conclusion? 0 A. Reject Ho . There is not sufficient evidence to warrant rejection of the claim that the mean is equal to 60 sec. O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 60 sec. O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the mean is equal to 60 sec. O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 60 sec. (e) Does there appear to be an overall perception of 1 min that is relatively close to an actual minute? O It appears that the mean overall perception is not relatively close because there is sufficient evidence to warrant rejection of the claim. 0 O It appears that the mean overall perception is relatively close because there is sufficient evidence to warrant rejection of the claim. It appears that the mean overall perception is relatively close because there is not sufficient evidence to warrant rejection of the claim. It appears that the mean overall perception is not relatively close because there is not sufficient evidence to warrant rejection of the claim.

Explanation / Answer

a. No direction has been mentioned to be tested. that is whether the alternative idea is greater than 60 sec or less than , that has not been mentioned. so we will consider not equals to case

that means the right option is : the second option

b.

Z = (M - ) / (2 / n)

Z = (56.3 - 60) / (9.5 / 40)

Z = -3.7 / 0.48734

Z = -7.59224=-7.59

c.The p value is 0

d.reject H0 there is sufficient warrent. (optio2 )

only first four parts solved.

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