Answer to Question #351036 in Biochemistry for Ruby

Question

A drug company is testing a drug intended to increase heart rate. A sample of 100 yielded a mean increase of 1.4 beats per minute, with a population standard deviation known to be 3.6. Since the company wants to avoid marketing an ineffective drug, it proposes a 0.001 significance level.

Answer 1

A drug company is testing a drug intended to increase heart rate. A sample of 100

100

 yielded a mean increase of 1.4

1.4

 beats per minute, with a population standard deviation known to be 3.6

3.6

. Since the company wants to avoid marketing an ineffective drug, it proposes a 0.001

0.001

 significance level. Should it market the drug? (Hint: If the drug doesn't work, the increase will be zero.)

(a) Describe an appropriate null hypothesis, alternative hypothesis.

(b) Calculate the test statistic and P

P

 -value

(c) What are your conclusions? Should the company market the drug? Explain.

Hypothesis Testing:

The population standard deviation is known. We will use the z-test statistic to calculate the test statistic value and the P-value. An excel function, NOMRDIST() is used for the P-value at the one-tailed.

Answer and Explanation:

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Given that,

Sample size, n

=

100

n=100

Sample mean, ¯

x

=

1.4

x¯=1.4

Population standard deviation, σ

=

3.6

σ=3.6