A government sample survey plans to measure the LDL (bad) cholesterol level of a

Question

A government sample survey plans to measure the LDL (bad) cholesterol level of an SRS of men aged 20 to 34. The researchers will report the mean x¯¯¯x¯ from their sample as an estimate of the mean LDL cholesterol level in this population.

Step 1:
Explain to someone who knows no statistics what it means to say that x¯¯¯x¯ is an unbiased estimator of . x is systematically higher than or lower than . x is not systematically higher than or lower than .


Step 2:
The sample result x¯¯¯x¯ is an unbiased estimator of the population truth no matter what size SRS the study uses. Explain to someone who knows no statistics why a large sample gives more trustworthy results than a small sample. With large samples, x is more likely to be close to , because with a larger sample comes less information (and therefore more uncertainty). With large samples, x is more likely to be further away from , because with a larger sample comes less information (and therefore more uncertainty). With large samples, x is more likely to be further away from , because with a larger sample comes more information (and therefore less uncertainty). With large samples, x is more likely to be close to , because with a larger sample comes more information (and therefore less uncertainty). 39% and 35% are parameters and 34% is a 39% is a parameter, 35% and 34% are statistics 39% and 35% are statistics and 34% is a parameter The three Explain to someone who knows no statistics what it means to is systematically higher than or lower than . O with large sam O with large samples, x is more ikely to be further away from , because with a larger sample coman less i farsirien fend th inforsaton [and therefore more uncertainty). O with large samples, X is more likely to be close to p, because with a larger sample comes more information (and tharefora Suppose that in fact the LDL I level of an SRS of men aged 20 to 34 Type here to search

Explanation / Answer

1. Correct option:

2. Correct option:

(D) With large samples, x is more likely to be close to , because with a larger sample comes more information (and therefore less uncertainty).

Reason: The purpose of getting a large sample is to remove as much uncertainty as possible and to make the x variable closer to its mean value, thereby making standard deviation or variance close to 0

x is not systematically higher than or lower than .

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