If you bought 10 bags of water-softener salt and their mean weight was 17.5kg, would you consider this evidence against the company’s claim? ii. In general, what mean weights of 10 randomly select bags would you consider evidence against the company’s claim?

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A brand of water-softener salt comes in bags marked “net weight 18kg”. The
company that packages the salt claims that the bags contain an average of 18kg of
salt and that the standard deviation of the weight of the bag is 0.68kg. Assume that
the weight of the bags is normally distributed and unless otherwise indicated use ? =
.05.

Consider again the scenario where we randomly selected 10 bags of water
softener salt. If we were are interested in bags weighing both above and below
that claimed by the company.

μ=18

0.68

n = 10

Ho : μ =18

H1 : μ <18

i) If you bought 10 bags of water-softener salt and their mean weight was
17.5kg, would you consider this evidence against the company’s claim?

ii. In general, what mean weights of 10 randomly select bags would you
consider evidence against the company’s claim?  

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