Answer:
The sample consisting of 64 data values would give a greater precision.
Step-by-step explanation:
The width of a (1 - <em>α</em>)% confidence interval for population mean μ is:
So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).
That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.
Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.
The two sample sizes are:
<em>n</em>₁ = 25
<em>n</em>₂ = 64
The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.
Width for n = 25:
![\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]](https://tex.z-dn.net/?f=%5Ctext%7BWidth%7D%3D2%5Ccdot%20z_%7B%5Calpha%2F2%7D%5Ccdot%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7B25%7D%7D%3D%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5B2%5Ccdot%20z_%7B%5Calpha%2F2%7D%5Ccdot%20%5Csigma%5D)
Width for n = 64:
![\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]](https://tex.z-dn.net/?f=%5Ctext%7BWidth%7D%3D2%5Ccdot%20z_%7B%5Calpha%2F2%7D%5Ccdot%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7B64%7D%7D%3D%5Cfrac%7B1%7D%7B8%7D%5Ccdot%20%5B2%5Ccdot%20z_%7B%5Calpha%2F2%7D%5Ccdot%20%5Csigma%5D)
Thus, the sample consisting of 64 data values would give a greater precision
<h2>
Answer:</h2>
The average speed of car is:
0.75 miles per minutes.
The equation of line is:
<h2>
Step-by-step solution:</h2>
The table that describes the time and number of miles marked is given by:
Time Miles
0 0
4 3
8 6
Clearly we could observe that with the increase in time by every 4 minutes the number of mile increases by 3.
i.e. the average speed is calculated as the ratio of change in miles to the change in time.
Hence,
Hence, the average speed=0.75 miles per minutes.
Also we will find the equation of the lines that related the miles and time by using the two-point formula.
i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:
Here (a,b)=(0,0) and (c,d)=(4,3)
i.e. the equation is given by:
52. Rahzel wants to determine how much gasoline they had every month
=> He used 78 1/3 gallons of gas monthly
=> his wife used 41 3/8 gallons of gas last month
How much is to total of gas that they both used.
First let’s convert this fraction to decimal
=> 78 1/3 = 78.33
=> 41 3/8 = 41.38
Now, let’s start adding.
=> 78.33 + 41.38 = 119.71 this is already rounded to the nearest hundredths.
Answer:
50y^4x/49
Step-by-step explanation:
y^3/98
((100* y^3/98 * x) * y
2.1 y^3 * y^1=y^(3+1)=y^4
Answer:
(D)Jaleel's method is correct because 2(x-2)=2x-4.
Step-by-step explanation:
Jaleel and Lisa are simplifying the expression 2(x-2)+2 as shown.
We can see that Jaleel's method is correct because:
2(x-2)=2x-4.
When you expand, you must multiply the term outside by all the terms inside the bracket.
The correct option is D.
