a. The two normal distributions have the same spread.

b. The two normal distributions are centered at the same place.

zi2lalZ
2021-02-26
Answered

Consider two normal distributions, one with mean-4 and standard deviation 3, and the other with mean 6 and standard deviation 3. Answer true or false to each statement and explain your answers.

a. The two normal distributions have the same spread.

b. The two normal distributions are centered at the same place.

a. The two normal distributions have the same spread.

b. The two normal distributions are centered at the same place.

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Laith Petty

Answered 2021-02-27
Author has **103** answers

Step 1

(a)

The spread is represented by standard deviation. If the standard deviations of the two or more normal distributions are same then the spread of the two or more normal distributions is same.

Here, it is observed that the standard deviations of the two normal distributions are same. Thus, it can be concluded that the spread of the two normal distributions is same.

Hence, the given statement is true.

Step 2

(b)

The parameter mean affects where the normal curve is centered. If the mean of the normal distributions are different, then the normal curve is centered at a different place.

Here, it is observed that the mean of the two normal distributions are different then the normal curve is centered at a different place.

Hence, the given statement is false.

(a)

The spread is represented by standard deviation. If the standard deviations of the two or more normal distributions are same then the spread of the two or more normal distributions is same.

Here, it is observed that the standard deviations of the two normal distributions are same. Thus, it can be concluded that the spread of the two normal distributions is same.

Hence, the given statement is true.

Step 2

(b)

The parameter mean affects where the normal curve is centered. If the mean of the normal distributions are different, then the normal curve is centered at a different place.

Here, it is observed that the mean of the two normal distributions are different then the normal curve is centered at a different place.

Hence, the given statement is false.

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The middle 95% of residuals should be between which two values? Use this information to give an interval of plausible values for the weekly sales revenue if 5 linear feet are allocated to the stores

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