Consider the scenario where we randomly select 10 bags of water-softener salt, assuming the company’s claim is true. Assume for part b that we are only interested in if the bags weigh lower than that claimed by the company. u= 18kg standard dev = 0.68 kg z= 0.735 p=0.2312 bottom 5% : a= 16.88 i. Find the probability that the mean weight of 10 randomly selected bags of water-softener-salt will be 17.5kg or less. ii. What is the z-value for the mean weight of 17.5kg of 10 bags? iii. 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? Support your decision by referring both to the probability calculated in bi) and the z-value calculated in bii). iv. In general, what mean weights of 10 randomly select bags would you consider evidence against the company’s claim?
Consider the scenario where we randomly select 10 bags of water-softener salt,
assuming the company’s claim is true. Assume for part b that we are only
interested in if the bags weigh lower than that claimed by the company.
u= 18kg
standard dev = 0.68 kg
z= 0.735
p=0.2312
bottom 5% : a= 16.88
i. Find the probability that the
of water-softener-salt will be 17.5kg or less.
ii. What is the z-value for the mean weight of 17.5kg of 10 bags?
iii. 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?
Support your decision by referring both to the probability calculated in
bi) and the z-value calculated in bii).
iv. In general, what mean weights of 10 randomly select bags would you
consider evidence against the company’s claim?
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