Question

83 - A company selling licenses for new e-commerce computer software advertises that firms using this software obtain, on average during the first year, a yield of 9% on their initial investments. A random sample of 10 of these franchises produced the yields shown below for the first year of operation 72 9.5 11.3 8.7 12.9 3.2 8.6 10.4 98 Assuming that population yields are normally distributed, test the company's claim at the 1% significance level Click the loon to view the upper critical values of the Student's distribution What are the null and alternative hypotheses for this test? O A HO OB HD H9 H. OCHS ODH 29 H-9 H, μ<9

Answer 1

Solution - o Gelling licenes for new Dew e Communice A Company Rescuired information is given by 916., 8.6, 10.4, 9.8.8.13. 7. e, 9.5, 11.328.7, 1991 the have to obtained the mean and standard deviation its & Clean is x = Ege Ete+9.5 +11.6+ BiH+10-976.2+8.6+10.479.818.3) 10 X. 89-9 10 X = B.99 x Islancord deviation is G- Icki -Xj2 VG+] 17.2-8.293469.5-8.29J9+C11-6 -6.90] +08.7-8.291470w-4 -8.99]+[3.0-8.29]++ [8.6-8.293 +10.4 – 8.99]24 9.8 - ---8.9972408.3-8.ag? [107) 6o.969 GE १ 6= V6 6:7+(1.3 S 2-6000

Then 8.99 x= Go Q.6096 अ-१ 10 Calculate :- @state. The new land atematike hypothesis : - lakes have to late the nan and alternative hypothesiG is Eerc, Dalal hype their ice Ho: la q ->Altinative hypothesis is EA : 1179 therefore, is correcte am awer, option o find the feste Statistic:- test datistic by cusing gillen Clata is, her have to oblained Elere, ->test statistic is t= x-es (sis

3 6.99-92 c 0.6006 Gool]. (0.6131] = -0.0101 Therefore test = -0.011 © find the pllaka i- ht have to obtained the p-value by using gilen Cata is, Here p Calcea, it , p. Lalue=tt-test , df=no) =(-0.0121, df=(10-1)] -(-0.0101, 9] -0.9906 There for ܘܘܘܘ ܝ ܘ pualue iG Decision: and V 0.01 is te hale to compared the p. lalu Eer

R a insufficient evidence at a coool Pulau 0.01 4906 Fail to reject null hypothesis at d =0.01 Therefore, Do notirréverte Ho. h conclusioni- have to conclude the gilles decision is Her at d=o.ol Therefore, he 1-) Do not revect to