Q .11. 聽How much juice? Refer to Exerc... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 9: Q .11. (page 564)

How much juice? Refer to Exercise 3. The mean amount of liquid in the bottles is $179.6$ ml and the standard deviation is $1.3$ ml. A significance test yields a $P$ -value of $0.0589$ . Interpret the $P$ -value.

Short Answer

Expert verified

There is a $5.89 %$ possibility that the mean volume of liquid in a sample of $40$ bottles is $179.6$ millilitres or more extreme, when the mean volume of liquid of all bottles is $180$ millilitres

Step by step solution

Step 1:Given information

The mean amount of liquid in the bottles is $179.6$ $ml$ and the standard deviation is $1.3 ml$ . A significance test yields a $P$ -value of $0.0589$

Step 2:Explaination

$P = 0.0589 = 5.89 %$

$\overset{炉}{x} = 179.6$

$s = 1.3$

Claim is mean is $180$

The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population mean is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of the null hypothesis.

$H_{0} : 渭 = 180$

$H_{a} : 渭鈮� 180$

The P-value is the probability of getting the value of the test static or a value more extreme, when the null hypothesis is true.

There is a

5.89 %

possibility that the mean volume of liquid in a sample of 40 bottles is

179.6

millilitres or more extreme, when the mean volume of liquid of all bottles is

180

millilitres

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91影视

How much juice? Refer to Exercise 3. The mean amount of liquid in the bottles is $179.6$ ml and the standard deviation is $1.3$ ml. A significance test yields a $P$ -value of $0.0589$ . Interpret the $P$ -value.

Short Answer

Step by step solution

Step 1:Given information

Step 2:Explaination

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91影视

How much juice? Refer to Exercise 3. The mean amount of liquid in the bottles is 179.6ml and the standard deviation is 1.3ml. A significance test yields a P-value of 0.0589. Interpret the P-value.

Short Answer

Step by step solution

Step 1:Given information

Step 2:Explaination

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Decision Maths

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

How much juice? Refer to Exercise 3. The mean amount of liquid in the bottles is $179.6$ ml and the standard deviation is $1.3$ ml. A significance test yields a $P$ -value of $0.0589$ . Interpret the $P$ -value.