The amount of chlorine in 100 cm3 water taken from a water tank was me

jeseHainsij

jeseHainsij

Answered question

2021-12-01

The amount of chlorine in 100 cm3 water taken from a water tank was measured, the average was 2.15 mg was found. The expert claims that the amount of chlorine in the water is greater than that measured. For this reason, 100 households were randomly selected, with an average chlorine content of 2.55mg and a variance of 0.49 mg. According to this data, find the account value z.

Answer & Explanation

Symbee

Symbee

Beginner2021-12-02Added 17 answers

Step 1
From the provided information,
Population mean (μ)=2.15mg
Sample size (n)=100
Sample mean (x)=2.55mg
Variance (s2)=0.49mg
Step 2
The hypotheses can be constructed as:
H0:μ=2.15
H1:μ>2.15
The value of test statistic (z value) can be obtained as:
z=xμs2n
=2.552.150.49100
=5.7143
Thus, the required z value is 5.7143.
Step 3
The p value of the test statistic from the standard normal table is 0.00001 which is less than level of significance 0.05, therefore, the null hypothesis would reject and it can be concluded that there is sufficient evidence to support the claim that the amount of chlorine in the water is greater than that measured.

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