Acid rain from the burning of fossil fuels is worldwide concern. Researchers believe that acid rain has caused many lakes from around the world to become acidic. A lake is classified as non-acidic if it has a pH level greater than 6. A recent study of 15 mountain lakes in Southern France revealed an average pH level of 6.6 with a standard deviation of 0.672. Does a test at the 5 % level of significance provide researchers with enough evidence to conclude that the lakes in Southern France are non-acidic?

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5) Acid rain from the burning of fossil fuels is worldwide concern. Researchers believe
that acid rain has caused many lakes from around the world to become acidic. A
lake is classified as non-acidic if it has a pH level greater than 6. A recent study of 15
mountain lakes in Southern France revealed an average pH level of 6.6 with a
standard deviation of 0.672. Does a test at the 5 % level of significance provide
researchers with enough evidence to conclude that the lakes in Southern France are
non-acidic?
6) The Venkanarasimarajuvaripeta Publishing Company collects information on the
retail prices of books and is a respected and reliable publisher of its findings. Up
until 2015, the mean retail price for all books was $ 43.50 with a standard deviation
of $ 7.61. In 2017, retail prices for 40 randomly selected poetry books was $ 46.93.
At the 1'% significance level, do the data provide sufficient evidence to conclude
that this year's mean price of all poetry books has increased since 2015?
7) At the Pekawachnamaykoskwasayapinwansisko Pretzel Company a machine bags
packages of pretzels with a total weight of 454 gr and a standard deviation of 7.8 gr.
A random sample of 25 bags has a mean weight of 450 gr. If we test the machine at
the 5% level of significance, can we conclude that the machine is not working
properly?
Transcribed Image Text:5) Acid rain from the burning of fossil fuels is worldwide concern. Researchers believe that acid rain has caused many lakes from around the world to become acidic. A lake is classified as non-acidic if it has a pH level greater than 6. A recent study of 15 mountain lakes in Southern France revealed an average pH level of 6.6 with a standard deviation of 0.672. Does a test at the 5 % level of significance provide researchers with enough evidence to conclude that the lakes in Southern France are non-acidic? 6) The Venkanarasimarajuvaripeta Publishing Company collects information on the retail prices of books and is a respected and reliable publisher of its findings. Up until 2015, the mean retail price for all books was $ 43.50 with a standard deviation of $ 7.61. In 2017, retail prices for 40 randomly selected poetry books was $ 46.93. At the 1'% significance level, do the data provide sufficient evidence to conclude that this year's mean price of all poetry books has increased since 2015? 7) At the Pekawachnamaykoskwasayapinwansisko Pretzel Company a machine bags packages of pretzels with a total weight of 454 gr and a standard deviation of 7.8 gr. A random sample of 25 bags has a mean weight of 450 gr. If we test the machine at the 5% level of significance, can we conclude that the machine is not working properly?
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