Describe the spread of the sampling distribution

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Reference no: EM131766329

Question: Auto emissions Oxides of nitrogen (called NOX for short) emitted by cars and trucks are important contributors to air pollution. The amount of NOX emitted by a particular model varies from vehicle to vehicle. For one light-truck model, NOX emissions vary with mean m = 1.8 grams per mile and standard deviation s = 0.4 gram per mile. You test an SRS of 50 of these trucks. The sample mean NOX level x - will vary if you take repeated samples.

(a) Describe the shape, center, and spread of the sampling distribution of x¯.

(b) Sketch the sampling distribution of x¯. Mark its mean and the values 1, 2, and 3 standard deviations on either side of the mean.

(c) According to the 68-95-99.7 rule, about 95% of all values of x¯ lie within a distance m of the mean of the sampling distribution. What is m? Shade the region on the axis of your sketch that is within m of the mean.

(d) Whenever x¯ falls in the region you shaded, the unknown population mean m lies in the confidence interval x - ± μ. For what percent of all possible samples does the interval capture μ?

Reference no: EM131766329

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