hypothesis

Test of hypothesis for difference between two populations' means 1. A random sample oi size 55 taken from normal populations with a standard deviation 5.2 has a mean 51. A second sample of size 55 taken from other normal population with a standard deviation 5.4 has a mean 25. Test whether the two sample means do not differ significantly at 5'5 ievel of significance.{Ans He: p1= p2 against Hr. pi: p2 and reject Ho because 155:5.1'51 a2tab=1.55} 2. A random sample of heights of 1555 Nepalese has a mean of 5?.55 inches and a standard deviation 2.55 inches. Another random sample of heights of 5455 Indians has a mean of 55.55 inches and a standard deviation of 2.52 inches. Do_ 4 l Testing of Hypothesis lv'iadhab Eihatta the data support the research hypothesis that Indians are on average taller than Nepalese? (Ans Ha: I\": p: against Hi: will: and reject Hn because Zaa=9.51 53:2tab= 1.5 5] 5. For a random sample of 15 pigs fed on diet A. the increase in weight (in lbs} in a cenain period were 15, 11'. 15. 12. 5. 5. 14, 15. 5 and 15. For another random sample of 12 pigs fed on diet B , the increase in weight in the same period were 14y 15' 5, 21, 25I 15I 1?. 12, 22, 15. T and 15. Test whether diets A and B differ significantly as regards their effect on increase In weight.[1.55. we do not reject He} 4. Two research laboratories have independently produced drugs that provide relief of cough. The first drug was tested on a group of 55 cough suffers and produced an average of 5.5 hrs relief and a sample standard deviation of 1.5 hrs. The second drug tested on 55 cough suffers, producing II'I average of 2.9 hrs of relief and a sample standard deviation of 2.1 hrs. at 5.55 level of significance, does the second drug provide a significantly shorter period of reiief? {Ans He: in: us against H1: Ina-He} 5. Two types of drugs were used on 5 and If patients for reducing their weight. Drug A was imported and drug 5 indigenous. The decrease in the weight after using the dru 5 s for six months was as fol lows: _-__-I--E-__ mum-\"n\" Is there a significant difference in the efficiency of two drugs? If not. which drug should you buy? {5.T3. do not reject He] 5. A survey found that the average hotel rate in New Orleans is 5 55.42 and average room rate in F'honiir is $55.51. Assume that the data were obtained from two samples of 55 hotels each and that the standard deviations were 55.52 and 5 4.55 respectively. At o = 5.55 can it be calculated that there is no significant difference in the rate