Step 2: A laboratory weighs filters from a coal mine to measure the amount of du

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Step 2:
A laboratory weighs filters from a coal mine to measure the amount of dust in the mine atmosphere. Repeated measurements of the weight of dust on the same filter vary Normally with standard deviation = 0.09 milligram (mg) because the weighing is not perfectly precise. The dust on a particular filter actually weighs 140 mg. The laboratory reports the mean of 3 weighings of this filter. What is the probability that the laboratory reports a weight of 140 mg or higher for this filter?

1. A study, conducted by Jackson et al. and published in the journal Cancer Causes and Control in 2009, examined 33,938 women aged 40 to 84 years old who resided in California and who reported having had a mammogram within the last 2 years. The researchers were interested in characteristics of women who routinely obtain mammograms, as suggested by the American Cancer Society, to detect breast cancer. The table below provides a column that refers to the sample size and provides characteristics of the 33,938 women who were included in the study who reported having had a mammogram.

Having such a large number of the respondents being white would create _____ variability in their responses. low no high biased 2. A public opinion poll in Ohio wants to determine whether registered voters in the state approve of a measure to ban smoking in all public areas. They select a simple random sample of 50 registered voters from each county in the state and ask whether they approve or disapprove of the measure. The proportion of registered voters in the state who approve of banning smoking in public areas is an example of _________. a parameter a sample proportion a statistic an unbiased statistic 3.

Step 1:
A laboratory weighs filters from a coal mine to measure the amount of dust in the mine atmosphere. Repeated measurements of the weight of dust on the same filter vary Normally with standard deviation = 0.09 milligram (mg) because the weighing is not perfectly precise. The dust on a particular filter actually weighs 137 mg.

The laboratory reports the mean of 3 weighings of this filter.

Fill in the blanks. Give the value of Answer 1 as a whole number and value of Answer 2 to five decimal places.

The mean x¯¯¯x¯ has, approximately a N( _Answer 1_ mg, _Answer 2_ mg) distribution.




Answer 1  
Answer 2

Step 2:
A laboratory weighs filters from a coal mine to measure the amount of dust in the mine atmosphere. Repeated measurements of the weight of dust on the same filter vary Normally with standard deviation = 0.09 milligram (mg) because the weighing is not perfectly precise. The dust on a particular filter actually weighs 140 mg. The laboratory reports the mean of 3 weighings of this filter. What is the probability that the laboratory reports a weight of 140 mg or higher for this filter?

Explanation / Answer

Please find the answers as shown below: -

1)

low

2)

a statistic

3)

Here, the mean is 140. Hence, the probability that the laboratory reports a weight of 140 mg or higher for this filter is 0.50 or 50%

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