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Answer:
0.024
Step-by-step explanation:
Sample size (n) = 146 people
The proportion (p) of people who answered that they would be interested in seeing the show again is:
The standard error for a sample of size 'n' and proportion 'p' is:
The standard error for the sample proportion of audience members who want to see the show again is 0.024.
population mean, μ =135
population standard deviation, σ = 15
sample size, n = 19
Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.
Estimate of sample mean
Estimate of sample standard deviation
Thus, using the normal probability table,
Therefore
The probability that the mean weight is between 125 and 130 lbs
P(125<X<130)=0.0731166-0.0018308
=0.0712858