Find all values of thetaθ, if thetaθ is in the interval [0degrees°, 360degrees°) and has the given function value cot thetaθ
1 answer:
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Answer:
a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.
b. z=1.24. No, it can not be concluded that the population mean is greater than 50.
c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.
Step-by-step explanation:
We have a hypothesis test for the mean, with the hypothesis:
The sample size is n=55 and the population standard deviation is 6.
The significance level is 0.05.
We can calculate the standard error as:
For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.
a. If the sample mean is M=52.5, the test statistic is:
The null hypothesis is rejected, as z>zc and falls in the rejection region.
b. If the sample mean is M=51, the test statistic is:
The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.
c. If the sample mean is M=51.8, the test statistic is:
The null hypothesis is rejected, as z>zc and falls in the rejection region.
Expand the numerator as
Then in the limit,
Answer:
Step-by-step explanation:
points on the line:- (-4,-5)&(6,4)
slope= 4+5/6+4= 9/10
y-4=9/10(x-6)
y=9x/10-54/10+4
y=9/10 x-7/5
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hope it helps..
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