Question
Leave x alone an irregular variable addressing profit yield of bank stocks. We may accept that x has an ordinary dispersion with standard deviation =
Leave x alone an irregular variable addressing profit yield of bank stocks. We may accept that x has an ordinary dispersion with standard deviation = 2.4%. An arbitrary example of 10 bank stocks gave the accompanying yields (in percent's).
5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1
The example mean is = 5.38%. Assume that for the whole financial exchange, the mean profit yield is test mean = 4.5%. Do these information demonstrate that the profit yield of all bank stocks is higher than 4.5%? Utilize a = 0.01. **
10.(a) What is the degree of importance?
(b) Select the invalid and substitute theories. Will you utilize a left-followed, right-followed, or two-followed test?
(c) What inspecting dissemination will you utilize? Clarify the reasoning for your decision of inspecting dispersion.
The Understudy's t, since n is enormous with obscure standard deviation.
The Understudy's t, since we expect that x has an ordinary circulation with known standard deviation.
The standard ordinary, since we expect that x has a typical conveyance with known standard deviation.
The standard ordinary, since we accept that x has a typical appropriation with obscure standard deviation.
(d) Process the z estimation of the example test measurement. (Round your response to two decimal spots.)
(e) Find (or gauge) the P-esteem. (Round your response to four decimal spots.)
(f) Sketch the examining conveyance and show the region comparing to the P-esteem. (Select the right diagram.)
(g) In light of your answers in parts (a) to (e), will you reject or neglect to dismiss the invalid theory? Are the information genuinely huge at level a?
At the a = 0.01 level, we reject the invalid theory and finish up the information are genuinely huge. At the a = 0.01 level, we reject the invalid theory and close the information are not measurably huge. O At the a = 0.01 level, we neglect to dismiss the invalid speculation and close the information are measurably huge. O At the a = 0.01 level, we neglect to dismiss the invalid theory and close the information are not measurably huge.
(h) Select your decision with regards to the application.
There is adequate proof at the 0.01 level to presume that the normal yield for bank stocks is higher than that of the whole securities exchange.
There is inadequate proof at the 0.01 level to reason that the normal yield for bank stocks is higher than that of the whole financial exchange.
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