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doris8051
29.10.2020 •
Mathematics
If the population standard deviation of the stopping distance is provided as σ = 6.7 feet. Estimate the average stopping distance of all Model A tires with a 94% confidence interval.
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Ответ:
Complete Question
The complete question is shown on the first and second uploaded image
The estimate of the average stopping distance of all model A tires with a 94% confidence interval is
Step-by-step explanation:
From the question we see that
The sample size is n = 8
The population standard deviation is![\sigma = 6.7](/tpl/images/0851/4430/b4a7a.png)
Generally the sample mean is mathematically represented as
=>![\= x = \frac{ 145 + 152 + \cdots + 133}{8}](/tpl/images/0851/4430/1a9e2.png)
=>![\= x = 138.9](/tpl/images/0851/4430/d1c21.png)
From the question we are told the confidence level is 95% , hence the level of significance is
=>![\alpha = 0.04](/tpl/images/0851/4430/1e945.png)
Generally the degree of freedom is mathematically represented as
=>![df = 8 - 1](/tpl/images/0851/4430/d6943.png)
=>![df = 7](/tpl/images/0851/4430/8ebef.png)
Because the n < 30 we will making use of the t table
Generally from the t distribution table the critical value of
at a degree of freedom of
is
Generally the margin of error is mathematically represented as
=>![E = 2.517 * \frac{6.7 }{\sqrt{8} }](/tpl/images/0851/4430/13ff1.png)
=>![E =5.96](/tpl/images/0851/4430/e59ff.png)
Generally 94% confidence interval is mathematically represented as
=>![138.9 -5.96 < \mu < 138.9 + 5.96](/tpl/images/0851/4430/d3642.png)
=>![132.94 < \mu < 144.86](/tpl/images/0851/4430/e5853.png)
Ответ:
I am going with C. The product is zero.
Because it is talking about multiplication.
Step-by-step explanation: