QUESTION 3 JamSoft, a computer games development company plans to roll out a new educational game software for Jamaica elementary schools. However, they need to ascertain the production time (measured in labor-hours) to produce the game software. For a random sample of 20 computer games, the mean time is found to be 40,000 labor-hours. The population standard deviation is known to be 5000 labor-hours and the distribution of production times is normal. a) Construct a 98% confidence interval for the mean production time to produce a computer game. b) Explain why we need to make the confidence interval. Why is it not correct to say that the average production time needed to produce all computer games is 40,000 labor-hours?

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QUESTION 3
JamSoft, a computer games development company plans to roll out a new educational game software
for Jamaica elementary schools. However, they need to ascertain the production time (measured in
labor-hours) to produce the game software. For a random sample of 20 computer games, the mean time
is found to be 40,000 labor-hours. The population standard deviation is known to be 5000 labor-hours
and the distribution of production times is normal.
a) Construct a 98% confidence interval for the mean production time to produce a computer game.
b) Explain why we need to make the confidence interval. Why is it not correct to say that the
average production time needed to produce all computer games is 40,000 labor-hours?
Transcribed Image Text:QUESTION 3 JamSoft, a computer games development company plans to roll out a new educational game software for Jamaica elementary schools. However, they need to ascertain the production time (measured in labor-hours) to produce the game software. For a random sample of 20 computer games, the mean time is found to be 40,000 labor-hours. The population standard deviation is known to be 5000 labor-hours and the distribution of production times is normal. a) Construct a 98% confidence interval for the mean production time to produce a computer game. b) Explain why we need to make the confidence interval. Why is it not correct to say that the average production time needed to produce all computer games is 40,000 labor-hours?
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