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A manufacturer fills jars with coffee

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A manufacturer fills jars with coffee. The weight of the coffee, W grams, in a jar can be modelled by a normal distribution with mean 245 grams and standard deviation 7 grams.

Find the probability that randomly selected jar contains less than 224 grams?              

Find the probability that randomly selected jar contains more than 260 grams?              

Which of the following intermediate step is involved in finding the probability that randomly selected selected jar is below 200 grams?  

 

QUESTION TWO:

The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a standard deviation of $20.

What is the probability that the grocery bill is more than $50          

If you select 16 people, what is the probability that their mean grocery bill is more than $70     

If you select 4 individuals, what is the probability that their mean grocery bill is between $50 and $65

 

QUESTION THREE:

Consider a dataset of towers in every state which is normally distributed. Consider a sample of 40 towers. The sample data has a mean of 68 with a standard deviation of 15.

How many degrees of freedom we use to find the t-critical statistic value

What is Maximal Margin of Error (E) at 99% confidence

Construct a 99% confidence interval.