1. Use both methods to find the distance between the points on the number line. Method A: Count the number of units between the
points. Method B: Take the absolute value of the difference of the two numbers. When taking the absolute value, show that the greater number or the lesser number can be the subtrahend (the number subtracted).
-12 and 19 on a number line are shown (I cant put in the pic)
-12 and 19 on a number line are shown (I cant put in the pic)
2 answers:
Answer:
The distance between the points is 31.
Step-by-step explanation:
Consider the provided information.
Method A: Count the number of units between the points.
Consider the figure shown and cont the units between the point -12 and 19.
There are 31 units between -12 and 19.
Hence, the required answer is 31.
Method B: Take the absolute value of the difference of the two numbers.
Subtract the number using absolute value.
We can find the difference with two ways:
Way 1: Subtract smaller number(-12) from the bigger number(19).
|19 -(- 12)| = |19+12| = 31
Way 2: Subtract bigger number(19) from the smaller number(-12).
|-12 - 19| = |-31|
Hence, the distance between the points is 31.
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Answer:
A.
B. Z=2.255. P=0.01207.
C. Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.
D. P(z>0.94)=0.1736
Step-by-step explanation:
<em>A. state the null and alternative hypotheses.</em>
The null hypothesis states that the review course has no effect, so the scores are still the same. The alternative hypothesis states that the review course increase the score.
B. test the hypothesis at the a=.10 level of confidence. is a mean math score of 520 significantly higher than 514? find the test statistic, find P-value. is the sample statistic significantly higher?
The test statistic Z can be calculated as
The P-value of z=2.255 is P=0.01207.
The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.
Then we can conclude that the score of 520 is significantly higher than 514, in this case, specially because the big sample size.
C. do you think that a mean math score of 520 vs 514 will affect the decision of a school admissions adminstrator? in other words does the increase in the score have any practical significance?
Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.
D. test the hypothesis at the a=.10 level of confidence with n=350 students. assume that the sample mean is still 520 and the sample standard deviation is still 119. is a sample mean of 520 significantly more than 514? find test statistic, find p value, is the sample mean statisically significantly higher? what do you conclude about the impact of large samples on the p-value?
In this case, the z-value is
In this case, the P-value is greater than the significance level, so there is no evidence that the review course is increasing the scores.
The sample size gives robustness to the results of the sample. A large sample is more representative of the population than a smaller sample. A little difference, as 520 from 514, but in a big sample leads to a more strong evidence of a change in the mean score.
Large samples give more extreme values of z, so P-values that are smaller and therefore tend to be smaller than the significance level.