In certain nerve cells, spontaneous electrical discharges are observed that are so rhythmically repetitive that they are called “clock spikes.” The timing of these spikes, even though remarkably regular, does exhibit variation. In one study, the interspike-time intervals (in milliseconds) for a single housefly (Musca domestica) were observed to follow a Normal distribution with mean 16.5 milliseconds and standard deviation 0.4 milliseconds. Suppose that twenty independent measurements are made. (a)What is the sampling distribution of the sample mean of these measurements? (b) Calculate ?(?̅> 16.33), then give a practical interpretation of this probability using the context of the given problem.

In certain nerve cells, spontaneous electrical discharges are observed that are so rhythmically repetitive that they are called “clock spikes.” The timing of these spikes, even though remarkably regular, does exhibit variation. In one study, the interspike-time intervals (in milliseconds) for a single housefly (Musca domestica) were observed to follow a Normal distribution with mean 16.5 milliseconds and standard deviation 0.4 milliseconds. Suppose that twenty independent measurements are made. (a)What is the sampling distribution of the sample mean of these measurements? (b) Calculate ?(?̅> 16.33), then give a practical interpretation of this probability using the context of the given problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

In certain nerve cells, spontaneous electrical discharges are observed that are so rhythmically
repetitive that they are called “clock spikes.” The timing of these spikes, even though remarkably
regular, does exhibit variation. In one study, the interspike-time intervals (in milliseconds) for a
single housefly (Musca domestica) were observed to follow a Normal distribution with mean 16.5
milliseconds and standard deviation 0.4 milliseconds. Suppose that twenty independent
measurements are made.
(a)What is the sampling distribution of the sample mean of these measurements?
(b) Calculate ?(?̅> 16.33), then give a practical interpretation of this probability using
the context of the given problem.

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In certain nerve cells, spontaneous electrical discharges are observed that are so rhythmically repetitive that they are called “clock spikes.” The timing of these spikes, even though remarkably regular, does exhibit variation. In one study, the interspike-time intervals (in milliseconds) for a single housefly (Musca domestica) were observed to follow a Normal distribution with mean 16.5 milliseconds and standard deviation 0.4 milliseconds. Let X= interspike-time interval for a randomly selected housefly. (a) What is the probability distribution of X? (b) Sketch the graph of the Normal distribution described in this problem. Clearly indicate on your sketch what the 68-95-99.7 rule predicts. (c) Using the 68-95-99.7 rule, compute P(X>17.3). Then give a practical interpretation of this probability.
In certain nerve cells, spontaneous electrical discharges are observed that are so rhythmically repetitive that they are called “clock spikes.” The timing of these spikes, even though remarkably regular, does exhibit variation. In one study, the interspike-time intervals (in milliseconds) for a single housefly (Musca domestica) were observed to follow a Normal distribution with mean 16.5 milliseconds and standard deviation 0.4 milliseconds. (a) A randomly selected housefly has a interspike-time interval of 16.59 milliseconds. What is the -score for this fly? (b) Fill in the blanks: Another randomly selected housefly has -score of -2.08 . This tells us that the interspike-time interval for this fly is __________ standard deviations __________ the mean. (c)Find the interspike-time interval for the fly with a -score of -2.08 .
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