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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber
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Solved: In Exercise, find the indicated probabilities and

Chapter , Problem 56E

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QUESTION:

Problem 56E

In Exercise, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.

Refer to Exercise. A random sample of seven bumblebee bats is selected from the study. Find the probability that the mean weight of the sample is (a) between 1.8 grams and 2.2 grams, (b) between 2.1 grams and 2.7 grams, and (c) more than 2.3 grams, and (d) compare your answers with those in Exercise.

Exercise

In a study of bumblebee bats, one of the world’s smallest mammals, the weights were normally distributed, with a mean of 2.0 grams and a standard deviation of 0.25 gram. Find the probability that a randomly selected bat from the study weighs

(a) between 1.8 grams and 2.2 grams.

(b) between 2.1 grams and 2.7 grams.

(c) more than 2.3 grams.

Questions & Answers

QUESTION:

Problem 56E

In Exercise, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.

Refer to Exercise. A random sample of seven bumblebee bats is selected from the study. Find the probability that the mean weight of the sample is (a) between 1.8 grams and 2.2 grams, (b) between 2.1 grams and 2.7 grams, and (c) more than 2.3 grams, and (d) compare your answers with those in Exercise.

Exercise

In a study of bumblebee bats, one of the world’s smallest mammals, the weights were normally distributed, with a mean of 2.0 grams and a standard deviation of 0.25 gram. Find the probability that a randomly selected bat from the study weighs

(a) between 1.8 grams and 2.2 grams.

(b) between 2.1 grams and 2.7 grams.

(c) more than 2.3 grams.

ANSWER:

Solution:

Step 1 of 5:

Given, a sample of 7 bumblebee bats is selected from the study, with a mean of 2 grams and a standard deviation of 0.25 grams.

We know that the sample standard deviation is

Then the test statistic is z =  

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