(a) Calculate a 95% confidence interval for the difference in the mean amount of time that it takes to make a pourover against the mean amount of time it takes to make a red-eye. Can you conclude that making the espresso shot adds a significant amount to the mean time it takes for the preparation? (b) State all of the assumptions that are needed to calculate this confidence interval. EC Show that vS/o² is a pivotal quantity for the population variance of coffee preparation times assumed to be common to both populations, where S? is the pooled sample variance, v is an appropriate number of degrees of freedom, and o? is the unknown population variance. Use the pivotal method to obtain a 90% confidence interval on o?.

(a) Calculate a 95% confidence interval for the difference in the mean amount of time that it takes to make a pourover against the mean amount of time it takes to make a red-eye. Can you conclude that making the espresso shot adds a significant amount to the mean time it takes for the preparation? (b) State all of the assumptions that are needed to calculate this confidence interval. EC Show that vS/o² is a pivotal quantity for the population variance of coffee preparation times assumed to be common to both populations, where S? is the pooled sample variance, v is an appropriate number of degrees of freedom, and o? is the unknown population variance. Use the pivotal method to obtain a 90% confidence interval on o?.

Name: i need All 3 parts A B C 7. On the weekends I like to enjoy a cup (or
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Description: i need All 3 parts A B C 7. On the weekends I like to enjoy a cup (or two) of coffee using a pourover method. Sometimes I alsolike to add an espresso shot for a "red-eye" coffee. In recent months I have been recording the amountof time (measured in m

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Question

i need All 3 parts A B C

7. On the weekends I like to enjoy a cup (or two) of coffee using a pourover method. Sometimes I also
like to add an espresso shot for a "red-eye" coffee. In recent months I have been recording the amount
of time (measured in minutes) that it takes to produce my drink in the morning. Summary statistics
from the times that have been collected so far are tabulated below:
Method
Pourover
8
10.4 0.68
Pourover+espresso 13 11.5 0.82
(a) Calculate a 95% confidence interval for the difference in the mean amount of time that it takes
to make a pourover against the mean amount of time it takes to make a red-eye. Can you
conclude that making the espresso shot adds a significant amount to the mean time it takes for
the preparation?
(b) State all of the assumptions that are needed to calculate this confidence interval.
EC Show that vS/o² is a pivotal quantity for the population variance of coffee preparation times
assumed to be common to both populations, where S, is the pooled sample variance, v is an
appropriate number of degrees of freedom, and o² is the unknown population variance. Use the
pivotal method to obtain a 90% confidence interval on o?.

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