in ΔABC, ∠ABC is a right angle, AB = 3 units, and BC = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the cen
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Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 25
The sample mean is
The standard deviation is
Let assume the level of significance of this test is
The null hypothesis is
The alternative hypothesis is
Generally the degree of freedom is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of
is
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
The recursive rule is
.
The iterative rule is
The recursive rule is given by the formula
, where d is the common difference. Our common difference is -4, which gives us the recursive rule above.
The iterative rule begins with the formula
, where a₁ is the first term and d is the common difference. Our first term is 10 and our common difference is -4:
The iterative rule is
The recursive rule is given by the formula
The iterative rule begins with the formula