the lengths of pregnancies in a little provincial town are ordinarily appropriated with a mean of 262 days and a standard deviation of 15 days.

In what reach would you hope to track down the center 98% of most pregnancies?

Between and .

If you somehow happened to draw tests of size 54 from this populace, in what reach would you hope to track down the center 98% of most midpoints for the lengths of pregnancies in the example?

Between and .

Enter your answers as numbers. Your answers ought to be exact to 1 decimal spots.

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An organization produces steel bars. The lengths of the steel bars are typically appropriated with a mean of 147.6 cm and a standard deviation of 1.5 cm. For shipment, 15 steel bars are packaged together.

Note: Even however our example size is under 30, we can utilize the z score in light of the fact that

1) The populace is typically circulated and

2) We know the populace standard deviation, sigma.

Discover the likelihood that the normal length of an arbitrarily chosen heap of steel poles is more noteworthy than 147.1 cm.

Enter your answer as a number precise to 4 decimal spots.

The measures of nicotine in a specific brand of cigarette are ordinarily appropriated with a mean of 0.977 g and a standard deviation of 0.327 g. The organization that creates these cigarettes guarantees that it has now decreased the measure of nicotine. The supporting proof comprises of an example of 41 cigarettes with a mean nicotine measure of 0.931 g.

Expecting that the given mean and standard deviation have NOT changed, discover the likelihood of haphazardly seleting 41 cigarettes with a mean of 0.931 g or less.

Enter your answer as a number exact to 4 decimal spots.

A class is stepping through a numerous decision exam with 10 inquiries where each question has four potential answers. Expect that the response to any question is autonomous of that to some other answer. Robert has neglected to read for this test, so he essentially surmises for each question.

What is the likelihood that Robert surmises precisely 8 of the inquiries accurately? (Round to four decimal spots.)

What is the likelihood that Robert improves? Another method of saying this is, what is the likelihood that he surmises at least 8 inquiries accurately? This would be the likelihood of 8 or more the likelihood of 9 or more the likelihood of 10. (Round to four decimal spots.)