The weight of adults in a certain city has a mean of 130Ibs,with standard deviation of 41Ibs,as sample of 25 adults living in one of kebeles while of the city is found to have a mean weight of 129Ibs.Does this mean the residents of keble while significantly less on the basis of the 1% level of significance?
A)State the null and alternative hypothesis
B)Based on the information provide would you employ Z or t as the distribution of the test stastic?
C)Give the critical region
D)What is your discussion?
A) Null hypothesis: The mean weight of adults living in keble while is equal to the mean weight of adults in the city.
Alternative hypothesis: The mean weight of adults living in keble while is less than the mean weight of adults in the city.
B) t-distribution should be employed as the sample size is less than 30.
C) The critical region is t < -2.576.
D) Since the calculated t-value is -0.8, which is not in the critical region, we fail to reject the null hypothesis. This means that the residents of keble while are not significantly less on the basis of the 1% level of significance.