A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.

Answers

Answer 1

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, [tex]\overline x[/tex] = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

We get;

[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.


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The ratio of mass of kangaroo to the mass of a penguin is 7:2. The kangaroo weighs 56 kg. What is the mass of penguin?

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Answer: 16

Step-by-step explanation:

I think my answer is correct because, if kangaroo is 56  kg and the ration kangaroo to penguin  was 7:2 I think we just have to divide 7 by 56. And 56 divided by 7 equals=8. and Since the pengiuins ration is 2 we just have to multiply 8 and 2. And 8 times 2 equals 16.

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It’s x=0 isn’t it that answer

Solve the following system of equations graphically, Select the graph that shows the correct solution of the systern.
2a +y=2
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Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation
I copied the other guy


A 10 foot long fence post is placed in a hole that is 3 feet deep.
How much of the post is above ground?

Answers

Answer:

7 feet

Step-by-step explanation:

10 - 3 = 7

A professor surveys students regarding personality as an example of

Answers

Answer:

Convenience sampling.

Step-by-step explanation:

Convenience sampling can be understood as a type of sampling that occurs when there is high availability of the population to be investigated.

This method incurs several criticisms because it is not a sampling method that reflects the reality of a population, but convenience sampling can be advantageous due to the speed with which the data are collected and the research initiated, thus being a method recommended for pilot tests.

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Answer:

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Please help!!
What is the sum of the measures of the angles of a 25-gon?

4,140º

25º

360º

2,500º

Answers

Answer:

4140°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 25 , then

sum = 180° × 23 = 4140°

Calculate the surface area?

Please help

Answers

Answer:

0.0846153846 when divided

Answer:

806 in^2

Step-by-step explanation:

we can start by breaking it up into two 11x13 sides and four 13x10 sides.

A=l*h

The first group of just two sides is 13*11 = 143, and for both sides 286 in^2

Then for the second group, 13*10 = 130, and for four sides, 520 in^2

We can add these values together for the total surface area, and we'll get 806 in^2 !

Which group of three squares will form a right triangle when
joined at their vertices?

Answers

Answer:

Option ?) 17 cm, 15 cm, 8 cm

The assignment should have four options to choose from, but there is only a picture of two.

Step-by-step explanation:

None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:

a²+b²=c²

We are given two options in the picture.

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

So, now we need to apply the formula:

Option A)

║8² + 10² = 18²

  ↓

║64 + 100 = 324

  ↓

║FALSE

Option B)

║6² + 9² = 12²

  ↓

║36 + 81 = 144

  ↓

║FALSE

Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?

There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.

For proof, let's apply the formula:

Option ?)

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  ↓

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║TRUE

[Since the option isn't shown, I'll put a '?' so there is no confusion]

A.CED.1/A.REI.4 Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x.

help me​

Answers

Answer:

Width of the rug = x feet

Length of the rug = (x + 4) feet

Step-by-step explanation:

Let

Width of the rug = x feet

The rug is 4 feet longer than it is wide.

Length of the rug = (x + 4) feet

For instance, to find the area of the rug

Area of a rectangular rug = length × width

= (x + 4) * x

= x² + 4x

Area of a rectangular rug = x² + 4x

To find the perimeter of the rug

Perimeter of the rectangular rug = 2(length + width)

= 2{(x + 4) + x}

= 2(x + 4 + x)

= 2(2x + 4)

= 4x + 8

Perimeter of the rectangular rug = 4x + 8

A cylinder has a base radius of 2 meters and a height of 2 meters. What is its volume
in cubic meters, to the nearest tenths place?

Answers

the answer is 25.1 meters3

Joey has $350 in his bank account. He pays $15.50 each month for 6 months. 6 months is done how much does joey have in his bank account?

Answers

Answer:

Joey has $257 dollars after 6 months.

Step-by-step explanation:

6*$15.50 = $93

$350 - $93 = $257

Have a nice day! :-)

Answer:

he has 257 in his bank account

Step-by-step explanation:

[tex]15.5 \times 6 = 93[/tex]

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1.) What percent of $144 is $18?

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D.) 17.5%
V
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Answers

Answer:

the anwser is 12.5 i did this question on a test last week

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Answers

Answer:

400

Step-by-step explanation:

718-331

= 387

Rounding off to the nearest hundredth the answer is 400

Ill give you the BRAINLIEST (if it lets me)

Answers

Answer:

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Step-by-step explanation:

I did this test.

C and A

I did this a while ago good luck

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Answers

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Answers

Answer:

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Percentage problems with mixed number
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2. Find 33 1/3 % of $1200

3. Calculate 12 1/2% of 160

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total?

Answers

Answer:

1. 93

2.400

3. 20

4. $1684

Step-by-step explanation:

Start by a etting up an equality.

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PLEASE HELP
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Answers

Answer:

82^o

Step-by-step explanation:

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Hope it helps!

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Answer:

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cot60➜4√2/t

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[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

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_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

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Step-by-step explanation:

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Answer:

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Answers

$900+ $288( interest after 8 years)= $1, 188( total balance)

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Step-by-step explanation:

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33.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 is 1/3

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