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Chapter 6: Q. 6.74 (page 269)

Obtain the z-score that has an area 0.80to its left under the standard normal curve.

Short Answer

Expert verified

The z-score under the usual normal curve with the area 0.80 to its left is around 0.84.

Step by step solution

01

Given information

The given area is0.80.

02

Explanation

The given area is 0.80

Begin by looking for the 0.80area in the table's body. The item isn't on the table. 0.7995is the nearest area. The matchingz-score for that area is 0.84.

As a result, the z-score under the usual normal curve with the area 0.80to its left is around 0.84, which may be depicted as

Below is a section of the standard normal table that is relevant:

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Most popular questions from this chapter

12. Consider the normal curves that have the parameters 渭=1.5and 蟽=3;渭=1.5and 蟽=6.2;渭=-2.7and 蟽=3;渭=0and蟽=1.

a. Which curve has the largest spread?

b. Which curves are centered at the same place?

c. Which curves have the same spread?

d. Which curve is centered farthest to the left?

e. Which curve is the standard normal curve?蟽

Determinez0.33

The percentage of all possible observations of a variable that lie between 25 and 50 equals the area under its density curve between___ and ___expressed as a percentage.

College-Math Success. Researchers S. Lesik and M. Mitchell explore the difficulty of predicting success in college-level mathematics in the article "The Investigation of Multiple Paths to Success in College-Level Mathematics" (fraternal of Applied Reacuwh in Hreher Eiturarion, Vol. 5. Issue 1. pP, 48-57). One of the variables explored as an indicator of success was the length of time since a college freshman has taken a mathematics course. The article reports that the mean length of time is 0.18 years with a standard deviation of 0.624 years. For college freshmen, let x represent the time, in years, since taking a math course.

A . What percentage of times are at least 0 years?

b. Assuming that x is approximately normally distributed, tose normal curve areas to determine the approximate percentage of times that are at least 0 years.

c. Based on your results from parts (a) and (b), do you think that the length of time since taking a math course for college freshmen is approximately a normally distributed variable? Explain your answer.

We have provided a normal probability plot of data from a sample of a population. In each case, assess the normality of the variable under consideration.
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