Question

12, Determine the point estimated of the population mean and margin of error of the confidence interval. Lower bound is 18, Upper bound is 26.

The point estimated of the population is____.

The margin of error of the confidence is ____.

13, A survey was conducted that asked 998 people how many books they had read in the past year. Results indicated that x overbar =13.513.5 books and s =16.1 books. Construct a 95​% confidence interval for the mean number of books people read. Interpret the interval.

(Use ascending order. Round to two decimal places as​ needed.)

A.

If repeated samples are​ taken, 95​% of them will have a sample mean between ___ and ____.

B.

There is 95​% confidence that the population mean number of books read is between ___ and ____.

C.

There is a 95​% probability that the true mean number of books read is between ___ and ___.

18, Steel rods are manufactured with a mean length of 26 centimeter​ (cm). Because of variability in the manufacturing​ process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.06 cm. Complete parts ​(a) to ​(d).

​(a) What proportion of rods has a length less than 25..9 ​cm?

nothing ​(Round to four decimal places as​ needed.)

​(b) Any rods that are shorter than 25.87 cm or longer than 26.13 cm are discarded. What proportion of rods will be​ discarded?

nothing ​(Round to four decimal places as​ needed.)____​(Round to four decimal places as​ needed.)

​(c) Using the results of part ​(b)​, if 5000 rods are manufactured in a​ day, how many should the plant manager expect to​ discard?

____​(Use the answer from part b to find this answer. Round to the nearest integer as​ needed.)

​(d) If an order comes in for 10,000 steel​ rods, how many rods should the plant manager expect to manufacture if the order states that all rods must be between 25.9 cm and 26.1 cm?

___ ​(Round up to the nearest​ integer.)

19, According to a​ study, 59​% of all males between the ages of 18 and 24 live at home. ​ (Unmarried college students living in a dorm are counted as living at​ home.) Suppose that a survey is administered and 163 of 248 respondents indicated that they live at home.​ (a) Use the normal approximation to the binomial to approximate the probability that at least 163 respondents live at home.​ (b) Do the results from part​ (a) contradict the​ study?

​(a) ​P(X≥163​)=___​(Round to four decimal places as​ needed.)

​(b) Does the result from part​ (a) contradict the results of the​ study?

A.

Yes​, because the probability of ​P(X≥163163​) is greater than 0.05 .

B.

Yes​, because the probability of ​P(X≥163​) is less than 0.05

C.

No, because the probability of ​P(X≥163​) is less than 0.05 .

D.

No​, because the probability of ​P(X≥163​) is greater than 0.05.

please answer all

Answer 1

12)

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