The life span at birth of humans has a mean of 8554 years an

The life span at birth of humans has a mean of 85.54 years and a standard deviation of 14.43 years. Calculate the upper and lower bounds of an interval containing 95% of the sample mean life spans at birth based on samples of 145 people. You may find this standard normal table useful. Give your answers to 2 decimal places. Upper bound = years Lower bound = years The sampling distribution of the mean is defined as the: distribution of the sample means of all possible samples of a certain size mean of sample data that has been collected from a simple random sample mean of sample data that follows a normal distribution distribution of data that has been collected from a simple random sample During its manufacturing process, Fantra fills its 20 fl oz bottles using an automated filling machine. This machine is not perfect and will not always fill each bottle with exactly 20 fl oz of soft drink. The amount of soft drink poured into each bottle follows a normal distribution with mean 20 fl oz and standard deviation 0.17 fl oz. The Fantra quality testing department has just carried out a routine check on the average amount of soft drink poured into each bottle. A sample of 20 bottles were randomly selected and the amount of soft drink in each bottle was measured. The mean amount of soft drink in each bottle was calculated to be 19.89 fl oz. The Fantra Chief Executive Officer believes that such a low mean is not possible and a mistake must have been made. Calculate the probability of obtaining a sample mean below 19.89 fl oz. You may find this standard normal table useful. Give your answer as a decimal to 4 decimal places. probability =

Solution

QUESTION 6: The life span of humans...

Note that              
              
Lower Bound = X - z(alpha/2) * s / sqrt(n)              
Upper Bound = X + z(alpha/2) * s / sqrt(n)              
              
where              
alpha/2 = (1 - confidence level)/2 =    0.025          
X = sample mean =    85.54          
z(alpha/2) = critical z for the confidence interval =    1.959963985          
s = sample standard deviation =    14.43          
n = sample size =    145          
              
Thus,              
              
Lower bound =    83.19128446          
Upper bound =    87.88871554   [ANSWERS]

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QUESTION 7:

OPTION A: Distribution of the sample means of all possible samples of a certain size.

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