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1 answer:
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Answer:
Step-by-step explanation:
We have been given that the slope of line is 3 and point (2,2) is on the line. We are asked to write the equation of the line passing through the given point in slope-intercept form.
The slope-intercept form of equation is in form , where,
m = slope of line.
b = The y-intercept.
Upon substituting our given slope and coordinates of given point in slope-intercept form, we will get:
Now, we will substitute and
in slope-intercept form as:
Therefore, our required equation would be .
Answer:
The test statistic is t = 2.5.
The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.
Step-by-step explanation:
Mean life of 600 hours. Test if it is more.
At the null hypothesis, we test if the mean is of 600 hours, that is:
At the alternative hypothesis, we test if the mean is of more than 600 hours, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
600 is tested at the null hypothesis:
This means that
Suppose 100 bulbs were tested and found to have a mean of 625 hours with a standard deviation of 100.
This means that .
Value of the test-statistic:
The test statistic is t = 2.5.
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 625 hours, which is a right-tailed test, with t = 2.5 and 100 - 1 = 99 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.007.
The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.