Question
In: Statistics and Probability
A certain factory consumes on average 1000 litres of water per day with a variance (σ2)...
A certain factory consumes on average 1000 litres of water per day with a variance (σ2) of 625 litres2. A random sample of 100 days taken revealed a mean daily consumption of x ̅ = 1006 litres. At α = 0.01, test if the mean daily water intake remains 1000 litres against the alternative that the mean water consumption has changed. please provide clear explaination
a) Hypotheses:
b) Rejection Region:
c) Test Statistic:
d) Decision/Conclusion:
Solutions
Expert Solution
This is the two tailed test .
The null and alternative hypothesis is
H0 : 
= 1000
Ha :
1000
Test statistic = z
= (
- 
) / 
/ 
n
= (1006 - 1000) / 25 /
100
Test statistic = 2.4
Rejection region = -2.576 , +2.576
Fail to reject the null hypothesis .
There is insufficient evidence to conclude that the mean water consumption has changed.
orchestra answered 1 year agoRelated Solutions
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