5, Determine the area under the standard normal curve that liesto the right of ​(a) Z = -0.95 , ​(b) Z=0.53, ​(c)  Z=−0.05, and ​(d) Z =−0.89.
​(a) The area to the right of Z=−0.95 is ____.
​(Round to four decimal places as​ needed.)
​(b) The area to the right of Z=0.53 is _____.
​(Round to four decimal places as​ needed.)
​(c) The area to the right of Z=−0.05 is _____.
​(Round to four decimal places as​ needed.)
​(d) The area to the right of Z=−0.89 is _____..
​(Round to four decimal places as​ needed.)
6,  Determine the area under the standard normal curvethat lies between ​(a)  Z =−0.53 and Z=0.53 ​,​(b)  Z=−2.67 and Z=0​, ​(c)  Z =−0.87 and Z=0.93.
​(a) The area that lies between Z =−0.53and  Z  =0.53 is ____.
​(Round to four decimal places as​ needed.)
​(b) The area that lies between  Z =−2.67and  Z =0 is ___.
​(Round to four decimal places as​ needed.)
​(c) The area that lies between  Z =−0.87 and Z =0.93is _____.
​(Round to four decimal places as​ needed.)
13, A survey was conducted that asked 998 people how many booksthey had read in the past year. Results indicated that x overbar=13.513.5 books and s =16.1 books. Construct a 95​% confidenceinterval for the mean number of books people read. Interpret theinterval.
(Use ascending order. Round to two decimal places as​needed.)
A.
If repeated samples are​ taken, 95​% of them will have a samplemean between ___ and ____.
B.
There is 95​% confidence that the population mean number ofbooks read is between ___ and ____.
C.
There is a 95​% probability that the true mean number of booksread is between ___ and ___.
18, Steel rods are manufactured with a mean length of 26centimeter​ (cm). Because of variability in the manufacturing​process, the lengths of the rods are approximately normallydistributed 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 than26.13 cm are discarded. What proportion of rods will be​discarded?
nothing ​(Round to four decimal places as​ needed.)____​(Roundto four decimal places as​ needed.)
​(c) Using the results of part ​(b)​, if 5000 rods aremanufactured in a​ day, how many should the plant manager expectto​ discard?
____​(Use the answer from part b to find this answer. Round tothe nearest integer as​ needed.)
​(d) If an order comes in for 10,000 steel​ rods, how many rodsshould the plant manager expect to manufacture if the order statesthat 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 of18 and 24 live at home. ​ (Unmarried college students living in adorm are counted as living at​ home.) Suppose that a survey isadministered and 163 of 248 respondents indicated that they live athome.​ (a) Use the normal approximation to the binomial toapproximate the probability that at least 163 respondents live athome.​ (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 ofthe​ study?
A.
Yes​, because the probability of ​P(X≥163163​) is greater than0.05 .
B.
Yes​, because the probability of ​P(X≥163​) is less than0.05
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 than0.05.
