How do I find the domain and range of a graph?
1 answer:
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Answer:
We accept the null hypothesis
Step-by-step explanation:
Given
The valve was tested on 120 engines
Mean pressure = 5 lbs/square inch.
Variance = 1
Standard Deviation, σ = √1 = 1
The valve was designed to produce a mean pressure of 5.1 lbs/square inch
So, μ = 5.1
Null hypothesis: H₀ : μ = 5.1
Alternative Hypothesis: H₁ : μ≠ 5.1
Since n > 30 and population standard deviation is given
So, We will use z test
Formula : z = (x - μ)/( σ /√n) ---_-_--- Substitute the values
z =
z = −1.1
The p - value of -1.1 (refer to z table) is 0.13576
Since it is a two tailed test So, p = 2(1- 0.13576) = 1.7285
α = 0.02
p value > α
So, we accept the null hypothesis
Hence There is no sufficient evidence at the 0.02 level that the valve does not performs below to the specifications