Question

A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the price per share of stock on January 1, 2009 and on April 30, 2009. The results are presented below. Suppose the analyst wished to see if the average price per share of stock on April 30, 2009 is less than the average price per share of stock on January 1, 2009 at 0-.025. Apr. 30.2009 33 27 12 25 35 34 Jan. 1.2009 40 28 30 34 48 36 for the hypothesis stated above. what is the war? 05 Dale 10 6.01 ve 4.025 O 02505 0904 None of the correct

Answer 1

Solution Given 35 32 33 34 Apr 30, 2009 Jan 1, 2009 40 28 30 34 48 36 Now to find X - ΣΧι 33+27+ 32 +25+ 35734 186 6 Xi 31 Now to find standard deviation Sir [(xi-8,)? Si= ( 33- 3)2+(27-3)*+(32-3) + (25-3) + (25-31)+(24-302 Si= 6-1 51 82 5 Si= V 1664 5,= 4.0497

Now to find Xe ΣΧο X2 he XQ 40+ 28+ 30+ 34+48 +36 - 216 36 X2 Now to find the standard deviation S2: - 52- {(xi-x 2)² ng 1 Sa (140-36) ²7 (28- 36) 4 (30-36) ↑ (34-36)} (48-36) 2 + (36-36) 2 -1 Sa 264 5 52.8 Sa V 52=7.2664 Now to stake the null and alternative Null hypothesis Ho: Mi = Ma Alternative hypothesis H.: H. <M, This is "left -tailed test hypothesis

is given by X-X2 (4.0497), (7-2664) Test statistic it =-1.472 * Now to find the test Statistic We know that The formula of test Statistic to 52² na 31-36 + + 6 5 t 2.7333 + 8.8001 t -5 3.3961 t =-1.472 11.5334

Now to find the degrees of freedom degrees of freedom 6-1 - Idf = 5 Now to find the P-value 0.1005 p-value Answer: 0.05 CP-value 20.10 Therefore the loption - All is the correct answer.