The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

​If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.


–1.46° , 1.46°


–1.39° , 1.39°


–1.53° , 1.53°


–1.45° , 1.45°

Answer:

-1.53 , 1.53

Step-by-step explanation:

It is basically asking you to find the percentiles. so for the bottom 6.3% you would type into your calculator 2nd, VARS, invNorm, area: .063, mean: 0, and Standard Deviation: 1 which gives you -1.53.

for the upper 6.3% you have to take 1-.063=.937 to get the upper percentile. now type into your calculator 2nd, VARS, invNorm, area: .937, mean: 0, and Standard Deviation: 1 which gives you 1.53.

Using the normal distribution, it is found that the third quartile of Q3 is 0.67, hence option B –1.39°, 1.39° is correct.

Normal usually refers to the word "normal" in a normal distribution.

The word normal is used when something occurs that has occurred frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from the mean, its chances decrease.

In a normal distribution with mean μ and standard deviation  σ, the z-score of a measure X will be;

Z = (X - μ)/  σ

After finding the z-score, we have to find the p-value associated with this z-score, which is the percentile of X.

The mean is 0ºC, μ= 0

The standard deviation is 1ºC, σ = 1.

Therefore when Z has a p-value of 0.75, hence X when Z = 0.67.

Z = (X - μ)/  σ

0.67 = (X - 0)/  1

X = 0.67

Thus, the two readings that are cutoff values separating the rejected thermometers from the others are B –1.39°, and 1.39°.

Learn more about normal distribution here:

https://brainly.com/question/15395456

#SPJ2

At New City High School, 11 out of 20 high school seniors have a part-time job. This ratio is the same at Oldville High School, which has 480 seniors. How many seniors at Oldville High School have a part-time job?

Please help!!

what websites are similar to brainly?

The meat shop is running a special: 3 KC Strips for $37.89. What is ty cost per KC Strip?

I'm not sure how to do this. Can someone please help me?

bruh can someone help me ill give brainlist

Haireut $24
Tip 15%
Tip
total

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Two pairs of jeans cost $75 before tax. If the total tax paid for the two pairs of jeans was $6, what is the percentage of tax?

find x and y
x=_____
y=_____​

Can you give me the answer? Ill give brainliest for the right answer

Pls answer this , and thank you

Please this is a test !!!!!!!!!!!!

150+3x-15=180 what’s is this answer in geometry

PLZ!!! HELP. Blake has traveled 65% of the distance to his grandpearents house. he traveled 26 miles. how many total miles will he travle?

50 POINTS WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!

The image is the figures and there pattern. they add 1 tile height and one tile length on the top horizontal line every figure. I don't need an explenation but I would prefer to have one so I can do these kinds of questions on my own.

a) write the pattern rule as an equation.
b) determine the number of tiles that will be in figure 100.​

IU Select the correct answer. What is the product of (7) (-16)(-7)(-1) O A. --7 O B. - 26 oc/ OD. 2​

I need some help with this math problem

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers? The complex numbers have equal imaginary parts. The complex numbers have equal real parts. The complex numbers have opposite imaginary parts. The complex numbers have opposite real parts.

Which situation does the integer -6 best represent?
A. 6 yards behind the winner
B. 6 feet above the ground
C. Finding 6 dollars in a pocket
D. Earning 6

6+(-4)= please help me I don’t here it :)

I need help with angles!!!!!!!!1

at midnight the temperature in alto is -3.8 the wind chill makes the temperature feel 5.6 colder then the actual temperature what is the wind-chill temperature

PLZ HELP ME ON THISSS!!
Approximate the location of the following numbers on a number line. In your final answer, submit a hand drawn number line or a number line created using technology.

A figure Quadrant lll was transformed, and the image is in Quadrant IV. Which could NOT have been the transformation.

The expression (3+i)(1+2i) can be written Jim the form a +bi, where a and b are integers. What are the values of a and b?

A and B are two cities.
zt
x В
a) Measure the bearing of B from A.
AX
b) Measure the bearing of A from B.

Justin drives west at 20 m/s, then slows to a stop at the red light. A graph of his acceleration over time is shown below, where eastward is the positive acceleration direction. Which graph shows his velocity over time

Hitzu Co. sold a copier costing $3,500 with a two-year parts warranty to a customer on August 16, 2018, for $7,000 cash. Hitzu uses the perpetual inventory system. On November 22, 2019, the copier requires on-site repairs that are completed the same day. The repairs cost $106 for materials taken from the repair parts inventory. These are the only repairs required in 2019 for this copier. Based on experience, Hitzu expects to incur warranty costs equal to 4% of dollar sales. It records warranty expense with an adjusting entry at the end of each year.

which is the solution to the inequality 2 3/5 b-8/15

​The length of a small ant is 3\cdot 10^{-3}3⋅10
−3
meter and the length of a large ant is 3.5\cdot 10^{-2}3.5⋅10
−2
meter.

​

​a.) Find the difference in length, in millimeters, of the two ants.

​Write your answer in scientific notation.

If there is a trail of 2 small ants and 1 large ant in a straight line, find the total length of the line. Write your answer in scientific notation.