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Vinvika [58]
3 years ago
12

A population is normally distributed with µ = 100 and σ = 10. a sample of size 9 is selected. the probability that an individual

value (from this population) falls between 90 and 110 will be ________ the probability that the sample mean (of this sample) falls between 90 and 110.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0
A) The empirical rule tells you the probability of being within 1 standard deviation of the mean is 68%.

b) The probability that the sample mean falls within 3 standard deviations* of the mean is 99.7%.

___
* The standard deviation of the sample mean is 1/√9 = 1/3 of the standard deviation of an individual sample. Hence the same limits (90-110) now cover 3 standard deviations of the sample mean.
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A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land
Arada [10]

Answer:

Step 1: The null and alternative hypothesis for the one way analysis of variance is,

H₀ : There is no difference in the means of each area.

H₁ : At least one mean is different.

The objective of this question is to test whether the income of the three areas are significantly different.

Step 2: The problem states to use 0.05 significance level.

Step 3: The test statistic follows the F-distribution.

Step 4: Decision rule is based on the critical value.

Numerator degrees of freedom is,

K - 1 = 3 - 1

= 2

Denominator degrees of freedom is 2.

n - k = 12 - 3

= 9

Using the F-distribution table for ∝=0.05 with numerator and denominator degrees freedom, the critical value is 4.26. The decision rule is to reject H₀ if the computed value of F exceeds 4.26.

Step 5: Calculations.

Using Excel follow the steps mentioned below.

1. Import or type the data into spreadsheet.

2. Data--------> Data Analysis----------> Anova: Single Factor, click OK.

3. Select Input Range, make a tick mark on Labels in the first row, enter 0.05 for alfa.

4. Click OK.

The obtained output for the one-way ANOVA is,

[ find the figure in attachment]

From the obtained output, the computed test statistic value, F = 14.18 , which is greater than the critical value of 4.26. So, reject H₀

Step 6: Interpretation. The average income of each area is different. It can be concluded that the average income is significantly different .

4 0
3 years ago
The Triangles below are similar. What is the length of the side labeled X?
Monica [59]

Answer: 12

Step-by-step explanation:

21 divided by 10.5 is 2, so you would do 24 divided by 2 to get 12.

2 is the scale factor.

4 0
3 years ago
Read 2 more answers
Someone help plss :(
Free_Kalibri [48]

I belive its 5.4 or 4.9 if you use a calculator to get the spare root its 5.38516480713

4 0
3 years ago
B+b-1+b+b+10=___b+9<br> whats the blank spot??​
nirvana33 [79]
4b+9 is the answer just add up the b’s
3 0
3 years ago
Which choice is equivalent to the expression below ? <br> 3^7.869
max2010maxim [7]
The second one:
3^7 x 3^(86/10) x 3^(9/1000)
That is because when you multiply powers with the same base ( in this case they are all 3), you just leave the base as it is and add the exponents
so it is basically 3^(7 + 86/100 + 9/1000) which is 3^7.869
6 0
3 years ago
Read 2 more answers
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