MATH 110 MODULE 7: Problem Set: Introduction to Statistics - Key - 2025B Portage Learning

MATH 110 MODULE 7: Problem Set: Introduction to Statistics
- Key - 2025B Portage Learning
M7: Problem Set
• Due No due date
• Points 5
• Questions 12
• Time Limit None

Instructions

Attempt History
Attempt Time Score
LATEST Attempt 1 265 minutes 5 out of 5

Score for this quiz: 5 out of 5
Submitted Apr 26 at 1:06pm This
attempt took 265 minutes.
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Question 1
pts
A lettuce grower claims that the mean weight of her heads of lettuce is 2 pounds. You believe that the mean
weight of the lettuce is less than two pounds. Please state the null and alternative hypothesis. Your Answer:
H0: μ=2 pounds.
H1: μ<2 pounds.

H0: μ=2 pounds.

H1: μ<2 pounds.

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Question 2
pts
According to Time magazine, in April 2014 the average gas price in the U.S. was $ 3.70. A financial analyst
believes that the average gas price is different today. Please state the null and alternative

, hypothesis.
Your Answer:
H0: μ=$ 3.70.
H1: μ≠$ 3.70.

H0: μ=$ 3.70.

H1: μ≠$ 3.70.

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Question 3
pts
According to the Wall Street Journal, in 2011 the average (or mean) cable bill was $ 128 per month. You
believe that the mean cable bill is higher today. Please state the null and alternative hypothesis. Your
Answer:
H0: μ=$ 128.
H1: μ>$ 128.

H0: μ=$ 128.

H1: μ>$ 128.

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Question 4
pts

A lettuce grower claims that the mean weight of her heads of lettuce is 2 pounds. You believe that the mean
weight of the lettuce is less than two pounds. Please state the null and alternative hypothesis.

a) Explain what it would mean to make a Type I error.


b) Explain what it would mean to make a Type II error.


Your Answer:
a.) Reject the null hypothesis that the mean weight is 2 pounds when the mean weight is actually atleast
2 pounds




b.) Do not reject the null hypothesis that the mean weight is 2 pounds when the mean