A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz. Express the null hypothesis and the
1 answer:
Answer:
Step-by-step explanation:
Given that A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz
For testing this claim, in Statistics we perform a certain measures called hypothesis testing.
For this first step is to create null and alternate hypothesis.
Normally null hypothesis would have some statistic = something
Here we want to test the mean weight of perfume
Hence null hypothesis would be
H0: mu = 8.9 fl oz.
Alternate hypothesis would be opposite of this claim
i.e.
Ha: mu ≠8.9 fluid oz
Hence answer is
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By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.
Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.
This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.
First we have to find the value of α which can be calculated as under:
α=(1-0.99)/2=0.005
p=1-0.005=0.995
corresponding z value will be 2.575 for p=0.995 .
Margin of error=z*x/d
where x is mean and d is standard deviation.
M=2.575*2.2/
=0.14
So the lower value will be x-M
=8.8-0.14
=8.66
=8.67 ( after rounding)
The upper value will be x+M
=8.8+0.14
=8.94
Hence the confidence interval will be 8.67 toys and 8.94 toys.
Learn more about z test at brainly.com/question/14453510
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