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3 years ago

Liz and Sara are making cookies for a bake sale. The graph shows the number of cookies that Liz bakes during a 5-hour period.

Mathematics

1 answer:

Viktor [21]3 years ago

6 0

Liz would end up baking more cookies than sara. So the answer would be d

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Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in

Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - α)% confidence interval for the population variance is given as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

It is provided that:

n = 20

s = 3.9

Confidence level = 95%

⇒ α = 0.05

Compute the critical values of Chi-square:

$\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907$

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

$\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45$

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

4 0

2 years ago

Please helpp me (and explain if you can pls:) ) TYSMMM!!!!

Vedmedyk [2.9K]

Answer:

the last three

Step-by-step explanation:

cuz im big brains like that

5 0

2 years ago

Read 2 more answers

Which is the simplest form of this algebraic expression? -(6x + 2y) + 4(2x - y)

Marrrta [24]

The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).

3 0

3 years ago

Read 2 more answers

What are the solutions to the system of equations?

user100 [1]

Solve the second equation using the given choices:

Y = 3x + 6

Replacing x with the given choices and matching the y values the answer is the second choice

(0,6) and (-2,0)

5 0

2 years ago

Laura is three times as old as Luci. In 5 years, the sum of their ages will be 30. What are the current ages of Laura and Luci?

Inga [223]

Firstly you would do 30 - 10 = 20, so their ages combined is 20, Laura has to be 15, and Luci has to be 5.

Second, 4 years ago, Peter was 15 and Sylvia was 5, and also in 5 years Sylvia will be 14 and Peter will be 24.

Hope this helps.

7 0

2 years ago