Skip to content##### 6.2 HW Normal Probability Distribution, Empirical Rule 8 Questions essay

The time to finish an examination is roughly Regular with a imply of 38 minutes and an ordinary deviation of eight minutes.
The bell curve under represents the distribution for testing occasions. The dimensions on the horizontal axis is the same as the usual deviation. Fill within the indicated packing containers. μ=38
σ=eight Query 2
Watch this Khan Academy Empirical Rule video:
https://www.youtube.com/watch?v=OhRr26AfFBU
Use the Empirical Rule. (Don't use know-how. Know-how will give a barely totally different reply.)
Draw a sketch of the conventional distribution and label the imply and 1, 2, and three commonplace devitons above and under the imply with computed values.
Assume that the burden of 1-year-old women within the USA is often distributed with Imply = 9.5 kg, Commonplace Deviation = 1.1 kg.
(a) 68% of the information is between which 2 values? kg -- kg
(b) 95% of the information is between which 2 values? kg -- kg
(c) What proportion of the information is lower than eight.Four kg? %
(d) What proportion of the information is between 7.three kg and 11.7 kg? ?
(w) What proportion of the information is greater than 12.eight kg? ?
Query Four
For a Four-units class like Statistics, college students ought to spend common of 12 hours finding out for the category. A survey was executed on college students, and the distribution of complete research hours per week is bell-shaped with a imply of 13 hours and an ordinary deviation of three hours. Use the Empirical Rule to reply the next questions. a) 95% of the scholars have research hours which are between and c) What proportion of the scholars have research hours which are under 16? % The heights of American grownup males are usually distributed with a imply of 177 cm and an ordinary deviation of seven.Four cm. Use the Empirical Rule to seek out the vary of heights that include roughly (a) 68% of the information cm -- cm (b) 95% of the information cm -- cm (c) 99.7% of the information cm -- cm A researcher finding out frogs is investigating the gap sure species of frog can soar. The soar lengths seem like roughly usually distributed with a imply of 95 inches and an ordinary deviation of eight inches.
Instructions: Make a sketch of the "empirical rule" for this setting.
a) What quantity of frog jumps are lower than 87 inches?
(Enter a proportion as a decimal, not a %)
b) What soar lengths signify the center 95% of frog jumps?
Between and
c) What's the chance of observing a random frog soar that's longer than 111 inches?
(Enter a proportion as a decimal, not a %) eight. The common resting coronary heart charge of a inhabitants is 86 beats per minute, with an ordinary deviation of 11 bpm. Discover the z-scores that correspond to every of the next coronary heart charges. Spherical your solutions to the closest hundredth, if essential. (a) 104 bpm z = (b) 67 bpm z =
Query 9
Quinn and Salvador started arguing about who did higher on their checks, however they could not resolve who did higher provided that they took totally different checks. Quinn took a check in Social Research and earned a 81.5, and Salvador took a check in Science and earned a 69.eight. Use the truth that all the scholars' check grades within the Social Research class had a imply of 76.5 and an ordinary deviation of 9.5, and all the scholars' check grades in Science had a imply of 62.Four and an ordinary deviation of eight.eight to reply the next questions. a) Calculate the z-score for Quinn's check grade.
z
=
z= b) Calculate the z-score for Salvador's check grade.
z
=
z= c) Which particular person did comparatively higher?
Quinn
Salvador
They did equally effectively.
Query 10
Tevin and Josh started arguing about who did higher on their checks, however they could not resolve who did higher provided that they took totally different checks. Tevin took a check in Social Research and earned a 78.6, and Josh took a check in Science and earned a 61. Use the truth that all the scholars' check grades within the Social Research class had a imply of 76.9 and an ordinary deviation of 10.Four, and all the scholars' check grades in Science had a imply of 61.5 and an ordinary deviation of 10.6 to reply the next questions. a) Calculate the z-score for Tevin's check grade.
z
=
z=
[Round your answer to two decimal places.] b) Calculate the z-score for Josh's check grade.
z
=
z=
[Round your answer to two decimal places.] c) Which particular person did comparatively higher?
Tevin
Josh
They did equally effectively. -research paper writing service