Question

A College conducts both day and night classes intended to be identical. A sample of 100 day students yields examination results as

* = 72.4,0 = 14.8, and a sample of 200 night students as x = 73.9 and o = 17.9. Are the two means statistically equal at 10% level​

Answer 1

Answer:

72.4,0 = 14.8, and a sample of 200 night students as x = 73.9 and o = 17.9. Are the two means statistically equal at 10% level

Answer 2

Answer:

We accept the level of significance at 10% level.

Hence, we accept the null hypothesis and conclude that two means are identically equal.

Step-by-step explanation:

Given:

A sample of 100 day students yields examination results as

for sample one n1 = 100, x1' = 72.4, S.D1 = 14.8.

for sample two n2 = 100, x2' = 73.9, S.D2 = 17.9.

To find:

Whether the two means are statistically equal at 10% level.

Solution:

N0 : u1 = u2 i.e, the two means are statistically equal.

N1 : u1 ≠ u2 i.e, the two means are not equal.

LOS = 10% level

Zcal = X1 - X2 ( S.D1)2(n1) + (S.D2)2(n2)

⇒72.4 - 73.9 (14.8)*2*(100) + (17.9)*2*(100)

⇒ -0.77

|Zcal| = 0.77

Ztab = Zo.1 = 1.64

Zcal < Ztab

∴ We accept the level of significance at 10% level.

Hence, we accept the null hypothesis and conclude that two means are identically equal.

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