# statistics

A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. If a survey of 800 randomly selected consumers is to be held would it be unusual for 554 of them to recognize Dull Computer Company?

Please show the work so I can understand what formula to use and work it out my self with the other problems.

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2. 👎 0
3. 👁 1,460
1. p = 0.68
n = 800
µ = np
µ = 800(.68) = 544
Standard deviation = √(np(1-p) )
= √(800(.68)(.32) )
= 13.1939
µ±2σ
(544 -2(13.193), 544+2(13.1939))
(517.6, 570.4)
554 is not unusual because it is in interval.

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2. 👎 0
posted by kuai

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More Similar Questions
The passage contains a mathematical question related to statistics and probability. It describes a survey for brand recognition of the Dull Computer Company, where 68% of consumers have heard of the brand. The question asks if it would be unusual for 554 out of 800 randomly selected consumers to recognize the brand. The passage also includes a solution to the problem.

**Content Structure:**
- The passage starts with a question about the probability of a specific outcome in a survey.
- It then provides a detailed solution, including the calculation of the mean (µ) and standard deviation (σ) of the distribution, and uses these to determine if the outcome is unusual.

**Analysis:**
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# statistics

A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. If a survey of 800 randomly selected consumers is to be held would it be unusual for 554 of them to recognize Dull Computer Company?

Please show the work so I can understand what formula to use and work it out my self with the other problems.

1. 👍 0
2. 👎 0
3. 👁 1,460
1. p = 0.68
n = 800
µ = np
µ = 800(.68) = 544
Standard deviation = √(np(1-p) )
= √(800(.68)(.32) )
= 13.1939
µ±2σ
(544 -2(13.193), 544+2(13.1939))
(517.6, 570.4)
554 is not unusual because it is in interval.

1. 👍 0
2. 👎 0
posted by kuai

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2. ### Probabilities

A brand name has a 40% recognition rate. If the owner of the brand wants to verify that rate by beginning with a small sample of 10 randomly selected consumers, find the probability that exactly 4 of the 10 consumers recognize the

asked by Sharie on November 26, 2013
3. ### statistics

A brand has 50% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 6 randomly selected customers, what is the probability that exactly 5 of the selected consumers

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4. ### venn diagram

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More Similar Questions
user
The passage contains a mathematical question related to statistics and probability. It describes a survey for brand recognition of the Dull Computer Company, where 68% of consumers have heard of the brand. The question asks if it would be unusual for 554 out of 800 randomly selected consumers to recognize the brand. The passage also includes a solution to the problem.

**Content Structure:**
- The passage starts with a question about the probability of a specific outcome in a survey.
- It then provides a detailed solution, including the calculation of the mean (µ) and standard deviation (σ) of the distribution, and uses these to determine if the outcome is unusual.

**Analysis:**
TYPE: SINGLE_QUESTION_WITH_ANSWER