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Svetradugi [14.3K]
3 years ago
12

G a frequency distribution has a mean of 200 and a standard deviation of 20. the class limits for one class are 220 up to 240. b

ased on the normal distribution, what is the probability that an observation would be in this class?

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

A suitable probability calculator will show that probability to be .135905122.


_____

Your class extends from 1 standard deviation above the mean to 2 standard deviations above the mean. The empirical rule puts that probability at ...

... (1/2)(95% - 68%) ≈ 13.5%


The empirical rule tells you 68% of observations lie within 1 standard deviation of the mean, and 95% lie within 2 standard deviations. Then the number that lie between 1 and 2 standard deviations from the mean will be the difference of these values. You want the values in the region above the mean only, so you only want half the difference just described.

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charle [14.2K]
112 over 10,000 because it is point zero-one hundred-twelve ten thousandths
4 0
3 years ago
Can someone help me please
vovikov84 [41]
X=7




Explanation:

A triangle equals 180°, and they gave us one length already, and it says the one arm of the triangle is equal to the other so we know that the third angle is going to be the same as the second angle.


180=90+(6x+3)+(6x+3)
Combine like terms
180=96+12x
Subtract 96 from both sides
84=12x
Divide 12 by both sides
7=x


Now check it,

90+(6*7+3)+(6*7+3)
90+(45)+(45) =180
8 0
3 years ago
A grocery store was having a sale. Darla had $15 in her wallet. She planned to purchase 2 gallons of fruit juice, 3 bags of chip
Ray Of Light [21]

Answer: Darla would have to pay $17.69 before tax

Step-by-step explanation:

Total amount in Darla's wallet = $15

She intends buying 2 gallons of fruit, 3 bags of chips and a box of cupcakes.

For the gallon of fruit

The first gallon of fruit cost $3.50

The second gallon of fruit has a discount of 50%. We have

(50/100) * 3.50

= $1.75

Therefore, the total amount for the two gallons of fruit =$3.50 + $1.75

= $5.25

Bag of chips

2 bags of chips cost $5 while 1 bag of chips cost $2.65

Since she intends to buy 3 bags of chips we have $5 + $2.65 = $7.65

1 box of cupcakes = $4.79

The total amount Darla is to pay for the groceries before tax equals

$5.25 + $7.65 + $4.79

= $17.69

This is more than the amount Darla has in her wallet

7 0
3 years ago
Graph the solution set to the inequality -s/2 + 5 &lt; 4<br><br><br><br><br> Please help!!!
IceJOKER [234]

Answer:

Draw a same side int. angle with s/2 as the perp. bisector

Step-by-step explanation:


5 0
3 years ago
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
3 years ago
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