Katie and Bonnie decide to buy some Krispy Kernel microwave popcorn. They are completely bowled over by the high-tech graphics on the package, showing how the popping times for a bag of this carefully produced product are normally distributed with a mean of 3.0 minutes. (And yet, they know enough about statistics to be skeptical about untested claims about the value of a population mean.) Sampling the product themselves, they obtain the following popping times (in minutes) for their sample of 5 bags: 3.9 2.8 3.4 4.1 3.3 a) Determine the following values, if possible, from the information given. If not possible, write "N/A". (5)

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) Katie and Bonnie decide to buy some Krispy Kernel microwave popcorn. They are
completely bowled over by the high-tech graphics on the package, showing how the
popping times for a bag of this carefully produced product are normally distributed
with a mean of 3.0 minutes. (And yet, they know enough about statistics to be
skeptical about untested claims about the value of a population mean.)
Sampling the product themselves, they obtain the following popping times (in
minutes) for their sample of 5 bags:
3.9 2.8 3.4 4.1 3.3
a) Determine the following values, if possible, from the information given. If not
possible, write "N/A". (5)
= ________ μ = ________ σ= ________ s = ________ n = ________
b) Find a 90% confidence interval for the true mean popping time for this product

Is it reasonable to conclude that the mean popping time is 3.0 minutes as
advertised? Why or why not?

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