Question

Time perception. Randomly selected college students participated in an experiment that tested their ability to determine the course of 1 minute (or 60 seconds). Forty students produced a sample mean of 58.3 seconds. Assuming that the standard deviation is 9.5 seconds, use a significance level of 0.05 to test the assertion that the population mean is less than 60 seconds.

Answer 1

solution

this is the left tailed test .  

The null and alternative hypothesis is ,

H0 :   = 60

Ha : <60

Test statistic = z

= ( - ) / / n

= (58.3-60) / 9.5 / 40

= -1.13

P(z < -1.13 ) = 0.1292

P-value = 0.1292

= 0.05  

P-value >

do not Reject the null hypothesis .

There is no sufficient evidence to suggest that