A medical device manufacturer has recently developed a new wireless pacemaker that can be reprogrammed without surgery . Years of research at the company has shown that traditional pacemakers have an expected battery life of mu = 60mol months with a standard deviation of sigma = 6 months . You have been hired to test a random sample of n = 25new pacemakers to see how they compare in battery life to the old ones Compute the standard error for a sample of size n = 25 taken from the population of traditional pacemakers . (Round your answer to 1 decimal place.)   For a sample of size n = 25 randomly selected from the population of traditional pacemakers, what is the probability of obtaining a sample mean greater than M = 62 months ? (Include 4 decimal places in your answer .)   For samples of size n = 25 , what range of values should contain the sample mean 90% of the time (i.e., what is the 90% confidence interval)? Put the lower bound of the interval in the first blank, and the upper bound of the interval in the second blank . ( Round your answers to 2 decimal places .)

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A medical device manufacturer has recently developed a new wireless pacemaker that can be reprogrammed without surgery . Years of research at the company has shown that traditional pacemakers have an expected battery life of mu = 60mol months with a standard deviation of sigma = 6 months . You have been hired to test a random sample of n = 25new pacemakers to see how they compare in battery life to the old ones

Compute the standard error for a sample of size n = 25 taken from the population of traditional pacemakers . (Round your answer to 1 decimal place.)

 

For a sample of size n = 25 randomly selected from the population of traditional pacemakers, what is the probability of obtaining a sample mean greater than M = 62 months ? (Include 4 decimal places in your answer .)

 

For samples of size n = 25 , what range of values should contain the sample mean 90% of the time (i.e., what is the 90% confidence interval)? Put the lower bound of the interval in the first blank, and the upper bound of the interval in the second blank . ( Round your answers to 2 decimal places .)

 

Suppose your test on the new pacemakers results in a sample mean of M = 56 months of battery life? What is the z-score for this sample mean? (Round your answer to 2 decimal places .)

 

How do you interpret this result (from previous question? What will you report to the manufacturer about the new pacemakers ?

 

 

 

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