For a random sample of 90 overweight men, the mean number of pounds that they were overweight was 35. The standard deviation of the population was 3.5 pounds. Find the best point estimate of the number of excess pounds that they weighed.

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Answer:

35 pounds is the point estimate for the the number of excess pounds that population weighed.                

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 90

Sample mean, [tex]\bar{x}[/tex] = 35 pounds

Population standard deviation, [tex]\sigma[/tex] = 3.5

We have to find the point estimate of the number of excess pounds that population weighed.

The best point estimate is the sample mean.

Thus, we can write,

[tex]\bar{x} = \mu = 35[/tex]

Thus, 35 pounds is the point estimate for the the number of excess pounds that population weighed.

Answer:

The point estimate for the number of excess pounds that the population weighed is 30 pounds.

Explanation:

Given:

Sample size, n [tex]= 90[/tex]

The sample mean [tex]$(\overline{\mathrm{x}})$[/tex] [tex]=35[/tex] pounds

Population standard deviation [tex]= 3.5[/tex]

To find the best point estimate of the number of excess pounds:

  • The Point estimate of the population mean, [tex]$\mu$[/tex] is the Sample mean [tex]$(\overline{\mathrm{x}})$[/tex]
  • A Population Mean is not an instance of a point estimate whereas a Sample Mean is an instance of a point estimate.

By the definition, we can write

[tex]$(\overline{\mathrm{x}})$[/tex] [tex]=35[/tex] pounds [tex]=$\mu$[/tex]

Therefore, The best point estimate for the number of excess pounds that the population weighed is 30 pounds.  

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