Question

In: Statistics and Probability

Please answer these questions ! 1. True or False: Measuring a sample is generally just as...

Please answer these questions !

1. True or False: Measuring a sample is generally just as expensive as measuring a population.

Select one:

True

False

2. A probability distribution has a mean of 50 and a standard deviation of 15. We plan to take a sample of 35 observations. What is the probability that the sample mean is between 53 and 54?

Select one:

a. 0.1554

b. 0.8239

c. 0.4971

d. 0.0619

Expert Solution

Solution :

Given that ,

mean = = 50

standard deviation = =15

n = 35

= 50

= / $\sqrt$ n= 15/ $\sqrt$ 35=2.5355

P(53< <54 ) = P[(53 -50) / 2.5355< ( - ) / < (54 -50) /2.5355 )]

= P( 1.18< Z <1.58 )

= P(Z < 1.58) - P(Z <1.18 )

Using z table

=0.9429 0.881

=0.0619

probability=0.0619

probability=

orchestra answered 1 year ago

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