Issue 1: Quick Start Company makes 12-volt vehicle batteries. After numerous long periods of item testing, the organization realizes that the normal existence of a Quick Start battery is ordinarily conveyed, with a mean of 44.6 months and a standard deviation of 6.5 months.

(a) If Quick Start ensures a full discount on any battery that fizzles inside the three year time frame after buy, which level of its batteries will the organization hope to supplant? (Round your response to two decimal spots.)

%

(b) If Quick Start would not like to make discounts for over 14% of its batteries under the full-discount ensure strategy, for how long should the organization ensure the batteries (to the closest month)?

months

Issue 2: The measure of cash spent week after week on cleaning, upkeep, and fixes at a huge caf was seen throughout an extensive stretch of time to be around ordinarily circulated, with mean ? = $601 and standard deviation ? = $45.

(a) If $646 is planned for one week from now, what is the likelihood that the real costs will surpass the planned sum? (Round your response to four decimal spots.)

(b) How much ought to be planned for week after week fixes, cleaning, and support so the likelihood that the planned sum will be surpassed in a given week is just 0.12? (Round your response to the closest dollar.)

$

Given a family with four youngsters, discover the likelihood of the occasion.

The most established is a young lady and the most youthful is a kid, given that there is at any rate one kid and at any rate one young lady.

The likelihood that the most established is a young lady and the most youthful is a kid, given that there is at any rate one kid and at any rate one young lady is ___________________

(Work on your answer. Type a number or a small portion.)

The time important to finish the specialized meeting for the Google intership is ordinarily disseminated with a mean of 63 minutes, and a standard deviation of twelve minutes. Allow the irregular variable X to address the quantity of minutes an arbitrarily picked understudy takes to finish the appraisal. On the off chance that an example of three dozen understudies is taken, what is the standard deviation of the example mean X and what is the likelihood that the example mean would be 59 minutes or less?

A new report at a neighborhood school asserted that the extent,

''27''

p

, of understudies who drive in excess of fifteen miles to class is close to

25%

. On the off chance that an arbitrary example of

275

understudies at this school is chosen, and it is discovered that

87

drive in excess of fifteen miles to class, would we be able to dismiss the school's case at the

0.01

level of importance?

Play out a one-followed test. At that point total the parts underneath.

Convey your moderate calculations to at least three decimal places and round your answers as indicated in the table. (On the off chance that vital, counsel a rundown of equations.)

(a) State the invalid speculation

H0

what's more, the elective speculation

H1

.

H0:

H1:

(b) Determine the sort of test measurement to utilize.

(Choose one)

(c) Find the worth of the test measurement. (Round to at least three decimal spots.)

(d) Find the p-esteem. (Round to at least three decimal spots.)

(e) Can we reject the case that the extent of understudies who drive in excess of fifteen miles to class is close to

25%

?

Indeed No