Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

Lesson 5.6 Normal Distribution Calculations Due 2/21 11:55 pm

star
star
star
star
star
Last updated about 2 years ago
16 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Get out your 68-95-99.7 Rule half sheets and your packet: Lesson 5.5 & 5.6.

No statsmedic today, only the calculator and the Normal Distribution Chart.

Get out your 68-95-99.7 Rule half sheets and your packet: Lesson 5.5 & 5.6.

No statsmedic today, only the calculator and the Normal Distribution Chart.

Ɛhia
1
8
Ɛhia
1
Ɛhia
2
Ɛhia
2
Ɛhia
3
Ɛhia
5
Ɛhia
7
Ɛhia
1
Ɛhia
3
Ɛhia
5
Ɛhia
7
Ɛhia
2
Ɛhia
1
Ɛhia
2
Ɛhia
3
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

What does the z-score mean?

Suppose that a Normal model described student scores in a history class.

Francisco has a standardized score (z-score) of +2.5.

This means that Francisco’s score...

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

The distribution of speed follows an approximately Normal distribution with a mean of 80 mph and a standard deviation of 7.7 mph.

Use the 'show your work' section to put in the Delorean speeds under the axis for the Normal Distribution Model.

Then answer:

What speed is 2 standard deviations above the mean?

Be sure to include units 'mph' in your answer.

I will check your normal curve data values, points will be subtracted if it is not correct.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Give the notation for the Normal model using the Delorean Speed information above.

Use the format: N(#, #)

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Using the 68-95-99.7 Rule & your half sheet:

What percent of the runs will give the Delorean a speed greater than 87.7 mph?

THEN shade in the probability area you are calculating in the 'show your work area'.

1 point is for your shading.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Using the 68-95-99.7 Rule & your flip book:

What percent of the runs will give the Delorean a speed between 64.6 mph and 87.7 mph?

THEN Shade in the probability area that you are calculating in the 'show your work' area.

1 point is for your shading.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.
Asemmisa {{asɛmmisaAhyɛnsode}}
7.
Asemmisa {{asɛmmisaAhyɛnsode}}
8.
Asemmisa {{asɛmmisaAhyɛnsode}}
9.

High levels of cholesterol in the blood increase the risk of heart disease.

For teenage boys, the distribution of blood cholesterol is approximately normal with

mean μ = 151.6 milligrams of cholesterol per deciliter of blood (mg/dl) and

standard deviation σ = 25 mg/dl.

What is the Normal model for this situation?

Use the format: N(#, #)

Asemmisa {{asɛmmisaAhyɛnsode}}
10.
Asemmisa {{asɛmmisaAhyɛnsode}}
11.
Asemmisa {{asɛmmisaAhyɛnsode}}
12.
Asemmisa {{asɛmmisaAhyɛnsode}}
13.
Asemmisa {{asɛmmisaAhyɛnsode}}
14.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.

If a student scored 1040 on his STAAR test, what was his z-score?

Round your answer to three places past the decimal.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.

A student scored 1040 on his STAAR test, you just calculated his z-score.

What does this mean?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Using the normal model: N(1142, 110)

Which 6th grade STAAR score is more unusual: a score of 889 or 1351?

Hint: use the z-scores to compare