A random sample of 100 recorded deaths in the United States during the past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does this seem to indicate that the mean life span today is greater than 70 years

This indicates that the chances of the mean life span today is greater than 70 years is 0.5871

Step-by-step explanation:

The past year showed an average life span of 71.8 years.

Population standard deviation = 8.9 years

We are supposed to find the mean life span today is greater than 70 years

i.e. P(X>70)

Formula :

Z=−0.202

P(X<70)=0.4129

P(X>70)=1-P(X<70)=1-0.4129=0.5871

Hence This indicates that the chances of the mean life span today is greater than 70 years is 0.5871

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