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The mean number of pets per household is 2.96 with standard deviation 1.4. A sample of...

The mean number of pets per household is 2.96 with standard deviation 1.4. A sample of 52 households is drawn. Find the probability that the sample mean is less than 3.11.

a.		0.2245
b.		0.5676
		c. 0.3254
	d.	0.7726

Expert Solution

Solution :

Given that ,

mean = = 2.96

standard deviation = = 1.4

n = 52

= 2.96 and

= / n = 1.4 / 52 = 0.1941

P( < 3.11) = P(( - ) / < (3.11 - 2.96) / 0.1941)

= P(z < 0.7474)

Using standard normal table,

P( < 3.11) = 0.7726

Probability = 0.7726

Option d)

milcah answered 1 year ago

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