The breaking strength X [kg] of a certain type of concrete block is normally distributed with a mean of 28 kg and a standard deviation of 3 kg. What is the maximum load such that we can expect no more than 2 % of the blocks to break?

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  1. The breaking strength X [kg] of a certain type of concrete block is normally distributed with a mean of 28 kg and a standard deviation of 3 kg. What is the maximum load such that we can expect no more than 2 % of the blocks to break?
  2. A juice shop owner wishes to find 95% confidence interval of the true mean cost of a pineapple juice. How large should the sample be if he wishes to be accurate to within $0.10? A previous study showed that the standard deviation of the price was $0.21.
  3. A medical investigation claims that the average number of infections per week at a hospital is 12.4. A random sample of 12 weeks had a mean number of 13.6 infections. The sample
    standard deviation is 1.2. Is there enough evidence to reject the investigator’s claim at @=0.05 ?
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