A bookshelf sits on top of a large desk. Together, their height is 6.75 feet. The difference between their heights is 1.85 feet.
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Assuming that we are performing a two-tailed test, the significance level is α = 0.1 would be dispersed in the distribution's tails with α/2 = 0.05.
And we must consider two critical values that add up to 0.05 of a area on every tail of a F distribution with a 10 degree angle.
An F statistic is one that is ascertained through an ANOVA test. It helps determine the relevance of the variable groups.
Now, according to the question;
We understand that sample size for numerator is 11 and also the sample size for denominator is 7. So, for each case, we can calculate a degrees of freedom as follows:
In this case, the F distribution could have 10 degrees of freedom with in numerator as well as 6 degrees of freedom in the denominator.
Assuming we are conducting a two-tailed test, the significance level of α = 0.1 will be distributed in the tails of the distribution with α/2 = 0.05.
Now, locate two critical values that collect 0.05 of a area on every tail of F distribution to 10 degrees of freedom again for numerator and 6 degrees of freedom for the denominator and we obtained using a table or excel;
Therefore, the critical f-value for the two-tailed experiment is found.
To know more about the critical f-value, here
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Using the z-distribution, the 95% confidence interval for the proportion is given as follows:
(0.4576, 0.5824).
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The other parameters for the interval are given as follows:
.
The lower and upper bound of the interval, respectively, are given by:
More can be learned about the z-distribution at brainly.com/question/25890103
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