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STATISTICS PLEASE HELP!!!

a researcher notes that the weight of a male golden retriever is approximately normally distributed with a mean of 70 lbs and a standard deviation of 7.5 lbs. what percentage of these dogs weigh less than 65 lbs?


a. 75%

b. 25%

c. 5%

d. 33.3%

e. 66.7%


STATISTICS QUESTION, PLEASE HELP AND EXPLAIN!

1 Answer

5 votes

Answer:

b

Explanation:

With so many question of statistics I had to go looking for a Z table.

Ok so in order to know an accurate percentage in a normal distribution you calculate Z:


z = (x - mean) / (st \: dev)

Z = (65 - 70)/7.5 = - 0.667

Then you enter Z in a Z-Table (there are many Z-table so be careful how you use it)

And the probability for a Z of - 0.667 is ~25%

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