What is 1 1/4divided by6

Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms oc

Anit [1.1K]

Answer:

a) $\hat \sigma^2 =s^2 =30^2 = 900$

b) $567.277 \leq \sigma^2 \leq 1690.224$

Rounded to the nearest number would be:

$567 \leq \sigma^2 \leq 1690$

c) $23.818 \leq \sigma \leq 41.112$

And rounded :

$23.8 \leq \sigma \leq 41.1$

Step-by-step explanation:

Data given and notation

s=30 represent the sample standard deviation

$\bar x=290$ represent the sample mean

n=20 the sample size

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

Part a

The best point of estimate for the population variance is the sample variance, so on this case:

$\hat \sigma^2 =s^2 =30^2 = 900$

Part b

The confidence interval for the population variance is given by the following formula:

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

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,19)" "=CHISQ.INV(0.95,19)". so for this case the critical values are:

$\chi^2_{\alpha/2}=30.144$

$\chi^2_{1- \alpha/2}=10.117$

And replacing into the formula for the interval we got:

$\frac{(19)(30)^2}{30.144} \leq \sigma \leq \frac{(19)(30)^2}{10.117}$

$567.277 \leq \sigma^2 \leq 1690.224$

Rounded to the nearest number would be:

$567 \leq \sigma^2 \leq 1690$

Part c

In order to find the confidence interval for the deviation we just need to take the square root for the interval of the variance, and we got:

$23.818 \leq \sigma \leq 41.112$

And rounded :

$23.8 \leq \sigma \leq 41.1$

7 0

3 years ago

What is the distance between point B and point C? A 2.1 units B 4.1 units C 8.6 units

wlad13 [49]

Answer:

Your answer is B

Step-by-step explanation:

Count down 4 points from B on the graph and count 1 over until you reach C which is down 4 over 1

6 0

3 years ago

PLEASE HELP ME I WILL GIVE BRAINLEAST !!!!!!!!!!!!1!!!!

Cerrena [4.2K]

Answer:

1 / q^3 = 1 / q^n

n = - 3

Step-by-step explanation:

1/r^-4 = r^4

p^3 * q^2 * p^4 * q^n * r^3 * r^4 = p^7 q ^5 r^7

(p^3 * p^4 *q^2 * r^3 * r^4 ) / ( p^7 * q^5 * r^7) = 1/q^n

(p^7 * q^2 * r^7) / (p^7 * q^5 * r^7) = 1/q^n

q^2 / q^5 = 1/q^n

1 / q^3 = 1 / q^n

4 0

3 years ago

1.4 km = 140m 1400m 14m d 14000m

Usimov [2.4K]

Answer:140 meters

Step-by-step explanation:1km=100m, 1.4km times 100=140

6 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form for the line that is parallel to y = 4x - 5 and contains the point (6, "-10).

Jobisdone [24]

Answer:

The desired equation is y = 4x - 34

Step-by-step explanation:

Start with the general slope-intercept form y = mx + b.

The new line is parallel to y = 4x - 5, and so the slope of the new line is the same as that of the old one: 4. Then we have:

y = 4x + b

Find b. Do this by substituting 6 for x and -10 for y:

-10 = 4(6) + b. Then -10 - 24 = b, and b = -34.

The desired equation is y = 4x - 34

7 0

2 years ago