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yanalaym [24]
2 years ago
15

Consider the given density curve.

Mathematics
1 answer:
Gemiola [76]2 years ago
4 0

Answer:

11 is best answer for it ....,..........

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Researchers fed mice a specific amount of Dieldrin, a poisonous pesticide, and studied their nervous systems to find out why Die
Elodia [21]

Answer:

Step-by-step explanation:

Part A

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

6 0
3 years ago
I need answers plzzzzz
blondinia [14]
9. Wrong name for this angle: <2
10. Wrong name for this angle: <3
5 0
2 years ago
If 2x² – 2y = 125 and x - y = 2.5, find the value of<br> x + y
uysha [10]

We can solve this using substitution.

because x-y=2.5

x=y+2.5

Now substitute x into other equation.

2(y+2.5)^2-2y=125

2y^2+10y+12.5-2y=125

2y^2+8y-112.5=0

Now comes the ugly part

y=-4+-sqrt(16+900)

y=-4+-sqrt916

y=-4+-2sqrt229

x=-1.5+-2sqrt229

6 0
2 years ago
What's 10 3/4 - 7 1/4?
leva [86]
10  \frac{3}{4} - 7 \frac{1}{4} \\ \\   \frac{10 \times 4 + 3}{4} -7 \frac{1}{4} \\ \\  \frac{43}{4} - y \frac{1}{4} \\ \\  \frac{43}{4} -  \frac{7 \times 4 + 1}{4} \\ \\  \frac{43}{4} -  \frac{29}{4} \\ \\  \frac{43-29}{4} \\ \\  \frac{14}{4} \\ \\  \frac{7}{2} \\ \\ 3 \frac{1}{2} \\ \\ Answer: \fbox {3 \ 1/2} \ or \ \fbox {3.5}
5 0
3 years ago
Is the statement true or false?<br> 4-2(3+7 =4 - 2 • 3 + 2 • 7
Vesnalui [34]
False, 4-2(3+7) = -16 and 4-2•3+2•7= 12
6 0
2 years ago
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