Mathematics, 06.05.2020 08:30 Andjew

A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobile homes yielded the following prices, in thousands of dollars. Assume that the population standard deviation of all such prices is $7.5 thousand, that is, $7 comma 500. Use the data to obtain a 99.7% confidence interval for the mean price of all new mobile homes.

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Answer from: Kimberley5752

The 99.7% confidence interval for the mean price of all new mobile homes is ($60,672, $65,622).

Step-by-step explanation:

The question is incomplete:

The prices in thousands of dollar are:

66.6, 69.8, 58.4, 57.3, 63.1, 61.8, 56, 72.7, 61.8,

66.9, 72.6, 63.1, 58.7, 65.9, 61.1, 56.1, 49.9, 72.6,

49, 56.4, 72.6, 60.1, 65, 64.8, 56.5, 52, 53.2,

56.4, 75.4, 76.3, 60.5, 74.6, 57, 69.2, 62.7, 77.2.

We have a sample of n=36 new mobile homes.

The mean of this sample is:

$M=(1/36)\sum_{i=1}^{36}x_i=\dfrac{2273.3}{36}=63.147$

The population standard deviation is σ=7.5 (in thousands of dollars).

The critical value of z for a 99.7% CI is z=2.97.

Then, we can calculate the margin of error as:

$E=z\cdot \sigma/\sqrt{n}=2.97*7.5/\sqrt{36}=22.275/9=2.475$

Now we can calculate the lower and upper bound of the confidence interval as:

$LL=\bar X-E=63.147-2.475=60.672\\\\UL=\bar X+E=63.147+2.475=65.622$

The 99.7% confidence interval for the mean price of all new mobile homes is ($60,672, $65,622).

A government bureau publishes annual price figures for new mobile homes. A simple random sample of 3

Answer from: Quest

answer:

given the linear inequality : $x-2y\geq -12$

add 2y to both sides we get;

$x-2y+2y\geq -12+2y$

simplify:

$x\geq -12+2y$

add 12 to both sides of an equation;

$x+12\geq -12+2y+12$

simplify:

$x+12\geq 2y$

divide both sides by 2 we get;

$\frac{x}{2} + 6 \geq y$

$y\leq \frac{x}{2} + 6$

the related equation for the inequality equation [1] is;

$y =\frac{x}{2} +6$

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

$y =\frac{0}{2} +6$

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

$0 =\frac{x}{2} +6$

subtract 6 from both sides we get

$0-6 =\frac{x}{2} +6-6$

$-6 =\frac{x}{2}$

multiply both sides by 2 we get;

$-6 \times 2=x$

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

Answer from: Quest

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

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A government bureau publishes annual price figures for new mobile homes. A simple random sample of 3...