Lat xDGàrandom variable rapreser ting dividend yleld ct bank stoces. We may assu
ID: 3310376 • Letter: L
Question
Lat xDGàrandom variable rapreser ting dividend yleld ct bank stoces. We may assurre that x has normal distribution with-2. B%. A random sample ot 10 bank stocks gave the toloing yields (in Parcents). 5.7 4.8 °.0 4.9 4.0 3.4 0.5 7.1 5.3 6.1 up ase that for th.. Th- ample mean is 5. Ef. r ti rock markat, th maan divid end yield is 4.4%,. thes" data ir dicat_ that th ividand yield of all bank stac i8 hi her than 4.4 ? Lise .01 a hat i tha laval or signiricanca? State the null and atemate hypotheses. Will you use left-tailed, right-tailed, or two-tailed test? Hol: HG- Hn: 4,4%; H1 ; 4.4%; two-tailed 4.4%; H1' . 4.4%, right-tailed 4.4%; H1 : > 4.4%; nght-tailed = > - u) vhst ssnliny distribution will you use? Explain the ralinele for your chice ofng elibutin The Student's t, since we assume that x has normal distribution with known rhe standard normal, since ne assume that x hasnormal distribution with known e. Tha Studant's t, sinca n is larga with unknown . ' hstandard normal. since we dssumet thet x has d ru'mal uistribution with unknown . What is the valua ot tha sample test statiatic? (Round your anawar to two decimal places.) Find for estimate) the P-value. Round your answer to four decimal places) ketch th sampling istibutin and shotha area arrespanding to the P-valsExplanation / Answer
a) Significance level = 0.01
H0: mu = 4.4, H1: mu > 4.4; right tailed
b)
The student's t t, since we assume that x has a normal distribution with known sigma
test statistics, t = (5.38 - 4.4)/(2.3/sqrt(10)) = 1.3474
c)
p-value = 0.1054
graph - option (B) i.e. shaded area to the right
d)
Option (D)
e)
Option (B)
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