In Miami, the number of highway accidents increased by 20% over a four year period. How many accidents were there in 2013 if the
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The length of the hypotenuse is .
Given that
Consider triangle DEF.
The legs have a length of 36 units each.
Triangle DEF is shown.
Angle DFE is 90 degrees and angles FDE and DEF are 45 degrees.
The lengths of sides DF and FE are 36 units.
We have to determine
What is the length of the hypotenuse of the triangle?
According to the question
The length of the hypotenuse is determined by using the Pythagoras theorem following all the steps given below.
The length of the hypotenuse is determined by;
Hence, the length of the hypotenuse is .
To know more about Pythagoras theorem click the link given below.
Answer:
We conclude that a negative message results in a lower mean score than positive message.
Step-by-step explanation:
We are given that Forty-two subjects were randomly assigned to one of two treatment groups, 21 per group.
The 21 subjects receiving the negative message had a mean score of 9.64 with standard deviation 3.43; the 21 subjects receiving the positive message had a mean score of 15.84 with standard deviation 8.65.
<em>Let </em><em> = population mean score for negative message</em>
<em /><em> = population mean score for positive message</em>
SO, Null Hypothesis, :
or
{means that a negative message results in a higher or equal mean score than positive message}
Alternate Hypothesis, :
or
{means that a negative message results in a lower mean score than positive message}
The test statistics that will be used here is <u>Two-sample t test statistics</u> as we don't know about the population standard deviations;
T.S. = ~
where, = sample mean score for negative message = 9.64
= sample mean score for positive message = 15.84
= sample standard deviation for negative message = 3.43
= sample standard deviation for positive message = 8.65
= sample of subjects receiving the negative message = 21
= sample of subjects receiving the positive message = 21
Also, =
= 6.58
So, <u><em>the test statistics</em></u> = ~
= -3.053
<em>Now at 0.05 significance level, the t table gives critical value of -1.684 at 40 degree of freedom for left-tailed test. Since our test statistics is less than the critical value of t as -3.053 < -1.684, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.</em>
Therefore, we conclude that a negative message results in a lower mean score than positive message.