Ask question

Ask question

All categories

3 years ago

11

A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show t

he day of the week for nequals303 randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with respect to the day of the week at the alphaequals0.05 level of significance?

1 answer:

Cloud [144]3 years ago

8 0

Answer:

Chi-square = 4.600

Degrees of freedom= 6

there is no evidence to reject hypothesis.

Step-by-step explanation:

H₀ : uniformly distributed

H₁: not uniformly distributed

Suppose some value of observed or expected frequency

Observed frequency : 39 40 30 40 41 49 41 Total: 280

Expected frequency : 40 40 40 40 40 40 40 Total: 280

Calculated the chi-square value

Chi-square = sigma {(O-E)^2/E}

= 0.025+0.000+2.500+0.000+0.025+2.025+0.025

4.600

Degrees of freedom=d f = n-1 = 7-1 = 6

Chi-square for 6 d.f at alpha = 0.05 is 12.59

Chi-square of calculated value < its critical value at alpha = 0.05, we see that there is no evidence to reject hypothesis.

The frequency of Sat is wrongly taken as 41 instead of 51

You might be interested in

5 + 5(x + 4) < 20<br><br>Solve the inequality <br><br>Help plz

aleksley [76]

Answer:

You would solve this as if the inequality sign was an equal sign.

Just make sure when you divide by a negative or multiply by a negative the sign switches, anyways:

5 + 5(x +4) < 20

Distribute the 5 and simplify

5 + 5x + 20 < 20

25 + 5x < 20

Isolate x (subtract 25 from both sides)

5x < -5

Divide by 5

x < -1

4 0

3 years ago

I NEED HELP ASAP MISSING ASSIGNMENTS HAVE TO BE TURNED IN TOMORROW \

Delvig [45]

Part 1: Circumference of circle = $105.20$ inches & Area of circle = $880.97 inches^{2}$

Part 2: Area of circle = $3.14 ft^{2}$

Part 3: Area of square not covered by circle = $29.69inches^{2}$ .

<u>Step-by-step explanation:</u>

<u>Part 1:</u>

We have radius of circle as $16\frac{3}{4} = 16.75 inches$ . Let's find area & circumference of circle:

Circumference of circle = $2\pi r$

⇒ Circumference of circle = $2\pi r$

⇒ Circumference of circle = $2\pi r$ = $2(3.14)(16.75)$

⇒ Circumference of circle = $105.20$ inches

Area of circle = $\pi r^{2}$

⇒ Area of circle= $\pi r^{2}$

⇒Area of circle = $\pi r^{2}$ = $(3.14)(16.75)^{2}$

⇒ Area of circle = $880.97 inches^{2}$

<u>Part 2:</u>

Circumference of circle = $2\pi r$ = $6.28ft$

⇒ $2\pi r = 6.28$

⇒ $r = \frac{6.28}{2\pi } = \frac{6.28}{2(3.14)} = 1 ft$

Area of circle = $\pi r^{2}$

⇒Area of circle = $\pi r^{2}$ = $(3.14)(1)^{2}$

⇒ Area of circle = $3.14 ft^{2}$

<u>Part 3:</u>

Perimeter of square = $4a$ , a is side of square.

⇒ $4a = 47$

⇒ $a = \frac{47}{4}$

⇒ a = $11.75 inch$

Since radius of circle inscribed in square is half of side of square i.e.

$radius = \frac{a}{2}\\ radius = r = \frac{11.75}{2}$

$r = 5.875inch$

Now, Area of square not covered by circle = Area of square - area of circle

⇒ $a^{2} - \pi r^{2}$

⇒ $11.75^{2} - 3.14(5.875)^{2}$

⇒ $29.69inches^{2}$

∴ Area of square not covered by circle = $29.69inches^{2}$ .

8 0

3 years ago

Sean puts $600.00 into an account to use for school expenses. The account earns 8%

OLga [1]

Answer:

$A=\$1,110.56}$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=8\ years\\ P=\$600.00\\ r=8\%=8/100=0.08\\n=1$

substitute in the formula above

$A=600(1+\frac{0.08}{1})^{1*8}$

$A=600(1.08)^{8}$

$A=\$1,110.56}$

3 0

4 years ago

Becca sold at least 136 oranges and apples. She sold 8 more oranges than apples.

Finger [1]

Answer:

64 apples

Step-by-step explanation:

136 - 8

= 128

128 divided by 2

= 64

Hope this helps!

7 0

3 years ago

I just need the final answer (average velocity to friends house) <br> thanks! :)

grandymaker [24]

Answer:

the answer is 1h:30min

Step-by-step explanation:

hoped this helped

5 0

3 years ago