Question: Every student in a large school measures the distance from the front door of the school to the flagpole using a meterstick. The results are

Every student in a large school measures the distance from the front door of the school to the flagpole using a meterstick. The results are normally distributed with mean 12.45 m and standard deviation 0.36 m.
a. Find the z-value that corresponds to a measurement of 12.00 m.
b. What is the probability that a randomly chosen measurement is between 12.30 and 12.60 m?
c. Nine students, who were absent on measurement day, measured the distance the next day. What is the probability that the mean of their measurements is between 12.30 and 12.60 m?
d. Find the 95% confidence interval for a single measure.
e. Find the 95% confidence interval for the mean of nine measurements.

Step by Step Solution

★★★★★

3.35 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a z 12 1245 036 125 b 32 The probability is N1230 1260 1245 036 or about 32 This means there i... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

940-L-A-L-S (4360).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Suppose that every student in a discrete mathematics class of 25 students is a freshman, a sophomore, or a junior. a) Show that there are at least nine freshmen, at least nine sophomores, or at least...

Classify each sample as random, systematic,stratified, or cluster. a. In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have...

The absentee rate for bus drivers in a large school district has been 5% in recent years. During the past few months, the school district and the bus drivers union have been engaged in negotiations...

!Help me please. (e) Revolution comes, and all taxes and subsidies are abolished. Even better, the consumer finds a new shop that offers bulk discounts. In this shop, footballs cost $4 each if you...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

3. Assume that Mrs. Ivorys real income will not change over the next sixteen years. Use the mean real income from question 1 to determine projected real income for the future sixteen years of Mrs....

Choose the correct answer. 1. A scientist wants to test whether participating in support groups will have an effect on the mood of people with depression. Her expectation is that participation will...

Given a normal distribution with p = 100 and o = 10, complete parts (a) through (d). a. What is the probability that X > 85? The probability that x > 85 is D. (Round to four decimal places as...

2.In a geology course, students were learning to use a balance scale to make accurate weighings of rock samples. One student plans to weigh a rock 20 times and then calculate the average of the 20...

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

You will need the following information to answer this question and the next two questions: The 2017 rates for CPP & E.I are as follows: Maximum Pensionable Earnings for CPP: $55,300; Basic Exemption...

The Linux source code is freely and widely available over the Internet or from CD-Rom vendors. What three implications does this availability have on the security of the Linux system?

brad wants to have $ 2 3 0 0 0 0 in an investment account 1 0 years from now. the account will pay . 4 2 percent in interest a month. if he saves money every month starting one month from now, how...

2.3 Th e owner of a fast-food restaurant ascertains the ages of a sample of customers. From these data, the owner constructs the frequency distribution shown. For each class interval of the frequency...

A projection is any transformation t such that t2 = t. (For instance, consider the transformation of the plane R2 projecting each vector onto its first coordinate. If we project twice then we get the...

The first two items of this question are review. (a) Prove that the composition of one-to-one maps is one-to-one. (b) Prove that if a linear map is not one-to-one then at least one nonzero vector...

True or false: for a transformation on an n dimensional space, if the minimal polynomial has degree n then the map is diagonalizable.

You will be using an Excel spread sheet to complete the following activities. Once the activity is completed you will take a snapshot of the work you completed in Excel and place it in this word...

3. Verify that the generator polynomial g(X)=1+X+X2+X3 generates a (8,5) linear cyclic code and determine the code polynomial for the message vector m=(10101) in systematic form

3D printing Discuss the type of innovation (Illustrate with a photo, or a schematic representation)