What should she do next?
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Answer
Find out the how many of each metal did your team win.
To prove
As given
Your team wins 18 medals at a competition.
The metals are gold, silver, and bronze in a ratio of 2:4:3.
Let us assume that x be the scalar multiple of the gold, silver and bronze medal.
Thus
Number of gold medal = 2x
Number of silver medal = 4x
Number of bronze medal = 3x
Than the equation becomes
2x + 4x + 3x = 18
9x = 18
x = 2
Number of gold medal = 2 × 2
= 4
Number of silver medal = 4 × 2
= 8
Number of bronze medal = 3 × 2
= 6
Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.
Answer:
The critical values for α = 0.10 are t=±1.7341.
Step-by-step explanation:
The critical values for a two tailed test are the values of t that are placed in the limit of the significance level. If the test statistic t is greater than this critical values, the null hypothesis is rejected.
To determine this values, we first divide the significance level by 2. With a t-table or app, we can determine the t values for P(x>|t|)=α/2=0.05.
In this case, for a degrees of freedom DF=20-2=18, we have the test statistic t=±1.7341 that satisfies the condition.
Solution of the hypothesis test
In this problem we want to prove if the slope of the regression model is different from 0, by means of a hypothesis test.
First, we state the null and alternative hypothesis:
The significance level is .
The degrees of freedom for a simple regression model is:
The standard error estimated of the slope is 0.0053.
The test statistic t is calculated as:
The P-value for a two-tailed test for a t=4.0377 and DF=18 is:
The P-value is smaller than the significance level, so the effect is statistically significant. The null hypothesis is rejected.
