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RideAnS [48]
3 years ago
13

If LaTeX: z_{obt}z o b t= +2.21, do you reject LaTeX: H_0H 0 or fail to reject LaTeX: H_0H 0 using a one-tailed test in the uppe

r tail with α = .05? Why do you make that choice? Note: Be sure to type in the correct answer in the space provided here.
Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

Reject the null hypothesis

Step-by-step explanation:

From the question we are told that

   The test statistic is  z_{obt} =  +2.21

    The level of significance is  \alpha  =  0.05

Given that this a one tailed in the upper tail then from the z table the area under the normal  curve to the right  corresponding to z_{obt} =  +2.21 is

      P( Z >  2.21) = 0.013553

So the p-value  is

       p-value  =  P( Z >  2.21) = 0.013553

From the values obtained we see that   p-value < \alpha  hence

The decision rule

 Reject the null hypothesis

     

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Hi please help me as soon as possible:
sammy [17]

Answer:

Percentage = 14.2%

Step-by-step explanation:

<u>Given the following data;</u>

Cost of plane ticket = £588

Airport tax = $130

£1 = $1.34

To find the percentage of the total cost spent on airport tax;

First of all, we would convert the ticket cost in pounds (£) to dollars ($).

Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92

Total cost = Cost of plane ticket + Airport tax

Total cost = 787. 92 + 130

Total cost = $917.92

Percentage \; cost = \frac {130}{917.92} * 100

Percentage  = 0.1416 * 100

<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>

<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>

6 0
3 years ago
X^2 + y^2=40 and y=x-4 solve this simultaneous equation
inn [45]
Write x-4 instead of y.
x²+(x-4)²=40
x²+x²-8x+16=40
2x²-8x-24=0
x²-4x-12=0
(x-6)(x+2)=0
x=6 or x=-2

for x=6, y=6-4 = 2
for x=-2, y=-2-4 = -6
3 0
3 years ago
(See diagram) The gradient of the line joining the origin to the point A is 1/2. The distance between A and the origin is sqrt 2
GuDViN [60]

Answer:

(42, 21) or (–42, –21)

Step-by-step explanation:

let A(x, y), A on line 2y = x

distance

x² + y² = 2205

(2y)² + y² = 2205

y² = 441

y = ±21

x = ±42

3 0
3 years ago
Only answer 16, and 17 and show how you set up the problems
Setler79 [48]

Answer:

16a) $1,320 (<em>Set-up below)</em>

16b) (<em>See explanation below)</em>

17a) $21.90 <em>(Set-up below)</em>

17b) $708.10 (<em>See explanation below)</em>

Step-by-step explanation:

16a)

33,000 · 0.04 = 1,320

<u>Set-up:</u>

Whenever you are solving equations with percentages, it is easier to change them into decimal form. 4% is equal to 0.04 so we can multiply 33,000 by 0.04 to find the commision price.

16b)

Since a commision is taken out of the total of a sale, we know that if you doubled to sale, the commission would also double unless the percentage the salesperson is getting goes down or up. If the percentage does not change, they would still get double because they would be getting a larger amount because the total is larger.

-------------

17)

a)

110 · 0.03 = 3.3

275 · 0.03 = 8.25

200 · 0.03 = 6

145 · 0.03 = 4.35

3.3 + 8.25 + 6 + 4.35 = $21.90

<u>Set-up:</u>

Whenever you are solving equations with percentages, it is easier to change them into decimal form. 3% is equal to 0.03 so we can multiply each cost by 0.03 to find the commision price per item. After, we add up each separate commision price to get the total commision.

b)

110 + 275 + 200 + 145 = 730

730 - 21.9 = $708.10

<u>Quick Explanation:</u>

The store would only earn $708.10 because of the commision they are paying Heidi is equal to $21.90. The total sale cost earned is $730.00 and the commision comes out of that cost, the store only gets $708.10

Note:

If you have any questions or concerns, feel free to reach out to me in the comments!

4 0
2 years ago
On a coordinate plane, a parabola opens down with solid circles along the parabola at (negative 3, negative 5), (negative 2, 0),
Svetradugi [14.3K]

The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

On a coordinate plane, a parabola opens down with solid circles along the parabola at (-3, -5), (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0), (3, -5).

The domain is all real numbers.

The range is all real numbers.

If for an interval I, when x decreases meanwhile staying in interval I, the function's output increases (or can stay same), then we say that the function is increasing in the interval.

The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

Learn more about increasing and decreasing functions here:

brainly.com/question/19597265

#SPJ1

5 0
2 years ago
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