An Internet provider is trying to gain advertising deals and claims that the mean time the competitors' customers spend online per day is less than 21 minutes. You are asked to test this claim.   ​(a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the​ claim? ​(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the​ claim? (a) H0​: ▼   muμ sigma squaredσ2 pp sigmaσ ▼   greater than or equals≥ not equals≠ less than< less than or equals≤ greater than> 21   Ha​: ▼   sigmaσ sigma squaredσ2 pp muμ ▼   not equals≠ less than< greater than> less than or equals≤ greater than or equals≥ 21 (b) H0​: ▼   muμ sigmaσ pp sigma squaredσ2 ▼   greater than> greater than or equals≥ not equals≠ less than< less than or equals≤ 21   Ha​: ▼   sigma squaredσ2 muμ sigmaσ pp ▼   less than or equals≤ less than< greater than> greater than or equals≥ not equals≠

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 26E
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Question
 
An Internet provider is trying to gain advertising deals and claims that the mean time
the
competitors' customers
spend
online per day is
less
than
21
minutes. You are asked to test this claim.
 
​(a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the​ claim?
​(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the​ claim?
(a)
H0​:
 
muμ
sigma squaredσ2
pp
sigmaσ
 
greater than or equals≥
not equals≠
less than<
less than or equals≤
greater than>
21
 
Ha​:
 
sigmaσ
sigma squaredσ2
pp
muμ
 
not equals≠
less than<
greater than>
less than or equals≤
greater than or equals≥
21
(b)
H0​:
 
muμ
sigmaσ
pp
sigma squaredσ2
 
greater than>
greater than or equals≥
not equals≠
less than<
less than or equals≤
21
 
Ha​:
 
sigma squaredσ2
muμ
sigmaσ
pp
 
less than or equals≤
less than<
greater than>
greater than or equals≥
not equals≠
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