A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 10.6 inches and standard deviation of 2.1 inches. If a sample of 44 items are chosen at random, what is the probability the sample's mean length is greater than 10.7 inches? Round answer to four decimal places. Hint: Be sure to use the standard error. 0.3761 Enter an integer or decimal nember [more..] Question Help: Video

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 10.6 inches and standard deviation of 2.1 inches. If a sample of 44 items are chosen at random, what is the probability the sample's mean length is greater than 10.7 inches? Round answer to four decimal places.

**Hint:** Be sure to use the standard error.

[Input box for answer: 0.3761]

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This form is designed for statistical analysis practice, focusing on calculating probabilities with normal distribution. It incorporates a standard error hint to guide through the calculation process.
Transcribed Image Text:A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 10.6 inches and standard deviation of 2.1 inches. If a sample of 44 items are chosen at random, what is the probability the sample's mean length is greater than 10.7 inches? Round answer to four decimal places. **Hint:** Be sure to use the standard error. [Input box for answer: 0.3761] **Question Help:** [Video link for assistance] [Submit Question Button] This form is designed for statistical analysis practice, focusing on calculating probabilities with normal distribution. It incorporates a standard error hint to guide through the calculation process.
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