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An advertisement for a new product claims that users who use the product will reduce the electricity used by their refrigerator by at least 5% and that, on average users of the product will reduce the electricity used by their refrigerator by 20% Fine print in the advertisoment has a link to a websito with details about the research.The website explains the product was originally being tested for other purposes when the energy savings capability was discovered The wobsite further explains that the reduction in energy usage was based on comparing the energy consumption of refrigerators in 15 different randomly selected homes for 1 month without the product and for 1 month with the product. A consumer researcher wants to test the product claims.The researcher purchases 15 randomly selected refrigerators and sets them up in a lab. The researcher collects data on how much electricity each refrigerator uses for 1 month without using the product and then for 1 month with the product Based on the sample the researcher determines that the average reduction in energy is approximately normally distributed with a mean of 18% a standard deviation of 6% and a margin of error of 3% Based on the consumer researcher's sample average and margin of error, can the researcher reliably conclude the 20% average reduction claim by the company is inaccurate? ) -A. 20% No, because the confidence interval for the researcher's data is (15% ,21% ) which contains B. 20% . No, because the confidence interval/for the researchers data is (18% ,21% ) which contains Yes, because the confidence interval for the researcher's data is (15% ,21% ) and more than half of thev values -s of the confidence interval areless than 20% . Yes, because the confidence intervalfor the researcher's data is (18% ,21% ) and more than D. half of the values of the confidence interval are less than 20% .

Question

An advertisement for a new product claims that users who use the product will reduce the
electricity used by their refrigerator by at least 5%  and that, on average users of the product will
reduce the electricity used by their refrigerator by 20%  Fine print in the advertisoment has a link
to a websito with details about the research.The website explains the product was originally
being tested for other purposes when the energy savings capability was discovered The wobsite
further explains that the reduction in energy usage was based on comparing the energy
consumption of refrigerators in 15 different randomly selected homes for 1 month without the
product and for 1 month with the product.
A consumer researcher wants to test the product claims.The researcher purchases 15
randomly selected refrigerators and sets them up in a lab. The researcher collects data on how
much electricity each refrigerator uses for 1 month without using the product and then for 1
month with the product Based on the sample the researcher determines that the average
reduction in energy is approximately normally distributed with a mean of
18%  a standard
deviation of 6%  and a margin of error of 3% 
Based on the consumer researcher's sample average and margin of error, can the researcher reliably
conclude the 20% 
average reduction claim by the company is inaccurate?
) -A.
20% 
No, because the confidence interval for the researcher's data is (15% ,21% ) which contains
B.
20% .
No, because the confidence interval/for the researchers data is (18% ,21% ) which contains
Yes, because the confidence interval for the researcher's data is (15% ,21% ) and more than
half of thev values -s of the confidence interval areless than 20% .
Yes, because the confidence intervalfor the researcher's data is (18% ,21% ) and more than
D. half of the values of the confidence interval are less than 20% .

An advertisement for a new product claims that users who use the product will reduce the electricity used by their refrigerator by at least 5% and that, on average users of the product will reduce the electricity used by their refrigerator by 20% Fine print in the advertisoment has a link to a websito with details about the research.The website explains the product was originally being tested for other purposes when the energy savings capability was discovered The wobsite further explains that the reduction in energy usage was based on comparing the energy consumption of refrigerators in 15 different randomly selected homes for 1 month without the product and for 1 month with the product. A consumer researcher wants to test the product claims.The researcher purchases 15 randomly selected refrigerators and sets them up in a lab. The researcher collects data on how much electricity each refrigerator uses for 1 month without using the product and then for 1 month with the product Based on the sample the researcher determines that the average reduction in energy is approximately normally distributed with a mean of 18% a standard deviation of 6% and a margin of error of 3% Based on the consumer researcher's sample average and margin of error, can the researcher reliably conclude the 20% average reduction claim by the company is inaccurate? ) -A. 20% No, because the confidence interval for the researcher's data is (15% ,21% ) which contains B. 20% . No, because the confidence interval/for the researchers data is (18% ,21% ) which contains Yes, because the confidence interval for the researcher's data is (15% ,21% ) and more than half of thev values -s of the confidence interval areless than 20% . Yes, because the confidence intervalfor the researcher's data is (18% ,21% ) and more than D. half of the values of the confidence interval are less than 20% .

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NormaElite · Tutor for 8 years

Answer

A. No, because the confidence interval for the researcher's data is $(15\%, 21\%)$ which contains $20\%$.

Explain

The confidence interval (CI) is used to estimate the range within which the true population parameter lies with a certain level of confidence. The researcher's CI is $(15\%, 21\%)$. Since $20\%$ falls within this interval, the company's claim of an average $20\%$ reduction cannot be conclusively deemed inaccurate.
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