Question

A book publisher monitors the size of shipments of its textbooks to university bookstores. For a sample of texts used at various schools, the 95% confidence interval for the size of the shipment was 250 ± 45 books. Which, if any, of the following interpretations of this interval are correct? A. All shipments are between 205 and 295 books. B. 95% of shipments are between 205 and 295 books. C. The procedure that produced this interval generates ranges that hold the population mean for 95% of samples. D. If we get another sample, then we can be 95% sure that the mean of this second sample is between 205 and 295. E. We can be 95% confident that the range 160 to 340 holds the population mean.

Answer 1

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(a)

The 95% confidence interval for the size of shipment was books.

All shipments are not between 205 and 295 books. Because due to 95% confidence interval for the size of shipment not all shipments.

The known statement is not correct

Answer 2

Answer:

Step-by-step explanation:

Concept:

A (real) interval in mathematics is a collection of real numbers that includes all real numbers that fall within any two of the collection's numbers. For instance, the interval containing $0, 1,$ and all integers in between is the set of values $x$ satisfying $0 \leq x \leq 1$ . The set of numbers such that$0 < x < 1$,  the set of all real numbers, the empty set, any singleton, the set of nonnegative real numbers, the set of positive real numbers, and ${\displaystyle \mathbb {R} }\mathbb {R}$ ,  are more examples of intervals (set of one element).

Given:

the $95$% confidence interval for the size of the shipment was $250+45,250-45$books.

Find:

We have to find the which of the following interpretations of this interval are correct.

Solution:

Given that,

the $95$% confidence interval for the size of the shipment was $250 + 45,250-45$ books.

= $295 , 205$

Option A is correct

The $95$% confidence interval for the size of shipment was books.

All shipments are not between $205$ and $295$ books. Because due to $95$% confidence interval for the size of shipment not all shipments.

The known statement is not correct.

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