An advertisement claims that their stomach medicine will provide relief from ind

Question

An advertisement claims that their stomach medicine will provide relief from indigestion in less than 10 minutes. To test the claim, 35 randomly selected individuals were given the product, and the average time until relief was 9.25 minutes. From past studies, the population standard deviation was 2 minutes. Can you justify the claim at = 0.01?

a) H0: _____________

(remember to identify claim)

H1: _____________

b) Critical Value = _____________

c) Test Value = _____________

d) Reject H0 or do not reject H0? ______________________________

e) Summary sentence:

3)

Explanation / Answer

a) H0 : mu = 10

H1 = mu < 10

b) critical value :

Critical value for z test = -2.33

c) Test value

mean = 10 , x = 9.25 , n = 35 , s = 2

z = ( x - mean) / ( s / sqrt(n))

= (9.25 - 10) / ( 2/sqrt(35))

= -2.218

Now, we need to find p value using z = -2.218

p value = 0.013277.

d) we fail to reject H0

e) There is no sufficient evidence to conclude that their stomach medicine will provide relief from indigestion in less than 10 minutes.

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