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Would finding the sample mean weight to be 2.18 ounces provide strong evidence to doubt the manufacturer's claim that  u = 2.20 ounces? Explain, again referring to the sampling distribution and a probability calculation. The probability of the sample weight being as small as 2.18 ounces or smaller is ___ (round to 4 decimal places)

Would finding the sample mean weight to be 2.18 ounces provide strong evidence to doubt the manufacturer's claim that  u = 2.20 ounces? Explain, again referring to the sampling distribution and a probability calculation. The probability of the sample weight being as small as 2.18 ounces or smaller is ___ (round to 4 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Would finding the sample mean weight to be 2.18 ounces provide strong evidence to doubt the manufacturer's claim that  u = 2.20 ounces? Explain, again referring to the sampling distribution and a probability calculation.

The probability of the sample weight being as small as 2.18 ounces or smaller is ___ (round to 4 decimal places)

Candy Bar Weights Assume that the actual weight of a certain candy bar varies according to a normal distribution with mean μ = 2.20 ounces and standard deviation = 0.04 ounces. Suppose you are skeptical about the manufacturer's claim that the mean weight is μ = 2.20 ounces, so you take a random sample of n = 5 candy bars and weigh them. You find a sample mean weight of 2.16 ounces. a. What does the CLT say about the distribution of sample mean weights if samples of size n = 5 are taken repeatedly? Round your answer to FOUR decimal places, if necessary. The CLT predicts the sampling distribution of the sample mean will also be normally distributed with mean___ and standard deviation
Transcribed Image Text:Candy Bar Weights Assume that the actual weight of a certain candy bar varies according to a normal distribution with mean μ = 2.20 ounces and standard deviation = 0.04 ounces. Suppose you are skeptical about the manufacturer's claim that the mean weight is μ = 2.20 ounces, so you take a random sample of n = 5 candy bars and weigh them. You find a sample mean weight of 2.16 ounces. a. What does the CLT say about the distribution of sample mean weights if samples of size n = 5 are taken repeatedly? Round your answer to FOUR decimal places, if necessary. The CLT predicts the sampling distribution of the sample mean will also be normally distributed with mean___ and standard deviation
b. Is it possible to get a sample mean weight this low even if the manufacturer's claim that μ = 2.20 ounces is valid? Is it unlikely? If the manufacturer's claim that μ = 2.20 ounces is true, the probability of obtaining a random sample of five candy bars with a mean weight as small as 2.16 ounces or smaller is___ (round your answer to FOUR decimal places).
Transcribed Image Text:b. Is it possible to get a sample mean weight this low even if the manufacturer's claim that μ = 2.20 ounces is valid? Is it unlikely? If the manufacturer's claim that μ = 2.20 ounces is true, the probability of obtaining a random sample of five candy bars with a mean weight as small as 2.16 ounces or smaller is___ (round your answer to FOUR decimal places).
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I want to know where did you get the 0.0127  , and 0.1318 probability from?

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