To find out whether a new drug will cure a certain disease, 9 mice, all with an advanced stage of the disease, are selected. Five mice receive the treatment and 4 do not. Survival times, in years, from the time the experiment began are as follows: Treatment 2.1 No Treatment 1.9 5.3 0.5 1.4 2.8 4.6 1.3 0.9 At the 0.05 level of significance, can the drug be said to be effective? Assume the two populations to be normally distributed with equal variances.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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To find out whether a new drug will cure a certain disease, 9 mice, all with an advanced stage of the
disease, are selected. Five mice receive the treatment and 4 do not. Survival times, in years, from the time
the experiment began are as follows:
Treatment
No Treatment
2.1
1.9
5.3
0.5
1.4
2.8
4.6
1.3
0.9
At the 0.05 level of significance, can the drug be said to be effective? Assume the two populations to be
normally distributed with equal variances.
а.
The null hypothesis is
O[H1 - H2< 0]
LH1 - µ2 =
0]
b.
The pooled estimate of variance, or sp is:
C.
t=
d.
Decision:
O[reject Hol
O[do not reject Ho]
Transcribed Image Text:To find out whether a new drug will cure a certain disease, 9 mice, all with an advanced stage of the disease, are selected. Five mice receive the treatment and 4 do not. Survival times, in years, from the time the experiment began are as follows: Treatment No Treatment 2.1 1.9 5.3 0.5 1.4 2.8 4.6 1.3 0.9 At the 0.05 level of significance, can the drug be said to be effective? Assume the two populations to be normally distributed with equal variances. а. The null hypothesis is O[H1 - H2< 0] LH1 - µ2 = 0] b. The pooled estimate of variance, or sp is: C. t= d. Decision: O[reject Hol O[do not reject Ho]
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