Within what limits will 99 percent of the sample means occur?

Update:

Crossett Trucking Co claims the mean wt of its delivery trucks when fully loaded is 5,600 lbs and the standard deviation is 230 lbs. Population follows the normal distribution. 40 trucks are randomly selected and weighed.

What what limits will 99 % of the sample means occur?

2 Answers

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  • 8 months ago

    2.575 standard deviations

    5600 +/- 2.575(230)

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  • 8 months ago

    Sample is sufficiently large (40) to apply normal distribution.

    Using the rule that 99 percent of the values lie within 3 standard deviations:

    5600 - 3(230) = 4910 for lower limit.

    5600 + 3(230) = 6290 for upper limit.

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