Name: Date: July 26th 2014
Hypothesis Testing
Answer each question completely to recieve full credit
1. There is a new drug that is used to treat leukemia. The following data
represents the remission time in weeks for a random sample of 21
patients using the drug.
10 7 32 23 22 6 16
11 20 19 6 17 35 6
10 34 32 25 13 9 6
Let X be a random variable representing the remission time in weeks for
all patients using the new drug. Assume that the distribution of x is
normal. A previously used drug treatment has a mean remission time of
12.5 weeks. Does the data indicate that the mean remission time using
the new drug is different from 12.5 week at a level of significance of
0.01?
State the Null Hypothesis
The mean remission time for the old drug and the new drug are the same.
H0: M-µ=0
State the Alternatice Hypothesis
The mean remission time for the new drug is different than the old drug.
H1: M-µ<>0
State the Level of significance
The level of significance is 0.01 or 1%
State the Test Statistic
for two tailed test z = ±2.575 (from table)
Perform Calculations
SE[M] = SD/sqrt(n) = 10/sqrt(21) = 2.18
Z = (M - µ)/(SE[M]) = (17.10 - 12.5)/(2.18) = 2.11
, Perform Calculations
SE[M] = SD/sqrt(n) = 10/sqrt(21) = 2.18
Z = (M - µ)/(SE[M]) = (17.10 - 12.5)/(2.18) = 2.11
Statistical Conclusion
Since the Z value falls within the range -2.575 < 2.11 < 2.575 the null
hypothesis is accepted.
Experimental Conclusion
There is no difference between the new drug and the old drug at the 1 %
level of significance.
Hypothesis Testing
Answer each question completely to recieve full credit
1. There is a new drug that is used to treat leukemia. The following data
represents the remission time in weeks for a random sample of 21
patients using the drug.
10 7 32 23 22 6 16
11 20 19 6 17 35 6
10 34 32 25 13 9 6
Let X be a random variable representing the remission time in weeks for
all patients using the new drug. Assume that the distribution of x is
normal. A previously used drug treatment has a mean remission time of
12.5 weeks. Does the data indicate that the mean remission time using
the new drug is different from 12.5 week at a level of significance of
0.01?
State the Null Hypothesis
The mean remission time for the old drug and the new drug are the same.
H0: M-µ=0
State the Alternatice Hypothesis
The mean remission time for the new drug is different than the old drug.
H1: M-µ<>0
State the Level of significance
The level of significance is 0.01 or 1%
State the Test Statistic
for two tailed test z = ±2.575 (from table)
Perform Calculations
SE[M] = SD/sqrt(n) = 10/sqrt(21) = 2.18
Z = (M - µ)/(SE[M]) = (17.10 - 12.5)/(2.18) = 2.11
, Perform Calculations
SE[M] = SD/sqrt(n) = 10/sqrt(21) = 2.18
Z = (M - µ)/(SE[M]) = (17.10 - 12.5)/(2.18) = 2.11
Statistical Conclusion
Since the Z value falls within the range -2.575 < 2.11 < 2.575 the null
hypothesis is accepted.
Experimental Conclusion
There is no difference between the new drug and the old drug at the 1 %
level of significance.
