Find $\mathrm { P } ( \bar { X } 2,510 )$
If ? = 2,500 and $\sigma _ { \bar { x } } = 7$
A).0764
B).9998
C).9236
D).0001

Question

Find $\mathrm { P } ( \bar { X } > 2,510 )$
If ? = 2,500 and $\sigma _ { \bar { x } } = 7$
A).0764
B).9998
C).9236
D).0001

Quizplus · Accepted Answer

The probability $\mathrm { P } ( \bar { X } > 2,510 )$ can be found using the standard normal distribution. First, calculate the z-score: $ z = \frac{2,510 - 2,500}{7} = \frac{10}{7} \approx 1.43 $. Using the standard normal distribution table, the probability of $ Z > 1.43 $ is approximately 0.0764.

Find P(Xˉ>2,510)\mathrm { P } ( \bar { X } > 2,510 )P(Xˉ>2,510)

Find $\mathrm { P } ( \bar { X } > 2,510 )$