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?.

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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Description: 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 minutes) that it takes to

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

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

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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