Question

(1 point) 50 people are randomly selected and the accuracy of their wristwatches is checked, with positive errors representing watches that are ahead of the correct time and negative errors representing watches that are behind the correct time. The 50 values have a mean of 98 sec and a standard deviation of 248 sec. Use a 0.01 significance level to test the claim that the population of all watches has a mean of Osec. The test statistic is The P-Value is The final conclustion is A. There is sufficient evidence to warrant rejection of the claim that the mean is equal to o B. There is not sufficient evidence to warrant rejection of the claim that the mean is equal to o

Answer 1

Sol Given, Sample size, n=50 Sample mean, x = 98 Sample standard deviation, s=248 level of significance, &=0.01 The hypotheris: Hoiuso (Null hypothesis) Hair #o (Alternative hypothenin) This is a two ailed Test. Test statistic, t= X-H slon 98 - Po 2481550 Proposopp 2-7942123 2.79 degrees of freedom, df = n-1=50-1=49 P-value 0.007488 0.007 Here, P-value (= 0.007) La (=0.01), So Reject Ho in he reject null hypothesis There in sufficient evidence to warrant rejection of claim that the Mean equal to o