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Ilia_Sergeevich [38]
3 years ago
11

Help me with this problem please

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0
It makes more sense to start with parts (c) and (d), then answer parts (a) and (b).

(c) The plot is below.

(d) Mixtures that are the same color have the same ratio of blue to yellow. They fall on the same line.

(a) There are two (2) different shades of paint mixtures.

(b) Shades A and C are the bluest. Their ratio of blue to yellow is the highest. (The slope of the line connecting their dots to the origin is the steepest.)

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a math teacher claims that she has developed a review course that increases the score of students on the math portion of a colle
madam [21]

Answer:

A.

H_0: \mu\leq514\\\\H_1: \mu>514

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.

H_0: \mu\leq514\\\\H_1: \mu>514

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

Z=\frac{M-\mu}{s/\sqrt{N}} =\frac{520-514}{119/\sqrt{2000}}=\frac{6}{2.661}=2.255

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

Z=\frac{520-514}{s/\sqrt{n}} =\frac{6}{119/\sqrt{350}} =\frac{6}{6.36} =0.94\\\\P(z>0.94)=0.1736>\alpha

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.

8 0
2 years ago
Suppose that you are a city planner who obtains and sample of 20 randomly selected members of a mid-sized town in order to deter
Dmitry_Shevchenko [17]

Answer:

The critical value for the 95% confidence interval is z = 1.96.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96.

The critical value for the 95% confidence interval is z = 1.96.

5 0
3 years ago
In a certain elementry school, 52% of the students are girls. a sample of 65 students is drawn. what is the probability that mor
Rainbow [258]

Answer:

12432435

Step-by-step explanation:

gvngxsfgjghdjmhg

7 0
3 years ago
Read 2 more answers
v-10=-3 I don't get how this would get a negative answer I don't get it and my teacher sucks at explaining these so plz help!!!!
o-na [289]
V-10=-3

add 10 by both sides (opposite of -10)

v= 7


6 0
3 years ago
Solve for x. Please:)
lutik1710 [3]

Answer:

  x = 3

Step-by-step explanation:

The smaller triangle and larger one are similar, so corresponding sides are proportional.

  8/4 = (8 +(x -1))/5

  10 = x +7 . . . . . . . . . multiply by 5 and simplify

  3 = x . . . . . . . . . subtract 7

__

<em>Alternate solution</em>

The short segments are also proportional:

  (x -1)/(5 -4) = 8/4

  x -1 = 2 . . . . simplify

  x = 3 . . . . . . add 1

3 0
2 years ago
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