What is the fourth term of the sequence 4, 8, 12, 16, 20, 24, . . .?

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

3 years ago

A sealed-tube manometer can be used to measure pressures below atmospheric pressure. The tube above the mercury is evacuated. Wh

sp2606 [1]

The <u>correct answers</u> are:

6.5 cm = 65.00001052 torr
6.5 cm = 8665.93 Pa
6.5 cm = 0.08552632119 atm

Explanation

The conversion rate from centimeters mercury (cm Hg) to torr is
1 torr = 0.099999983814461 cm.

We have 6.5 cm; this means to convert we divide:
6.5/0.099999983814461 = 65.00001052

The conversion rate from cm Hg to Pascals (Pa) is
1 cm = 1333.22 Pa

We have 6.5 cm; this means to convert we multiply:
6.5(1333.22) = 8665.93

The conversion rate from cm Hg to atmospheres (atm) is
1 atm = 75.999995199606 cm

We have 6.5 cm; this means to convert we divide:
6.5/75.999995199606 = 0.08552632119

7 0

3 years ago

Read 2 more answers

solve the system of linear equations using substitution. Which expression would be eastier to substitute into the other equation

Colt1911 [192]

The x=7y-4 one and put it to where the x in the other equation is.

7 0

3 years ago

In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.

luda_lava [24]

It’s 164.5 that would be ur answer

7 0

3 years ago

Read 2 more answers

Mhanifa please help! Explain how you can use the perpendicular bisector of a segment to draw an isosceles triangle.

Anna007 [38]

Answer:

If you construct the perpendicular bisector of a line segment, every point on the perpendicular bisector will be the same distance from both point A and point B.

To construct an isosceles triangle, you can start from any point on the perpendicular bisector and draw line segments to point A and to point B

7 0

2 years ago