Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:
![H_o: \mu = 178](https://tex.z-dn.net/?f=H_o%3A%20%5Cmu%20%3D%20178)
Alternative hypothesis:
![H_1: \mu \neq 178](https://tex.z-dn.net/?f=H_1%3A%20%5Cmu%20%5Cneq%20178)
The t-test statistics is determined by using the formula:
![t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7BX%20-%20%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B177.5%20-%20178%7D%7B%5Cdfrac%7B2%7D%7B%5Csqrt%7B25%7D%7D%7D)
![t = \dfrac{-0.5}{\dfrac{2}{5}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B-0.5%7D%7B%5Cdfrac%7B2%7D%7B5%7D%7D%7D)
![\mathbf{t= -1.25}](https://tex.z-dn.net/?f=%5Cmathbf%7Bt%3D%20-1.25%7D)
Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Answer:
4.2 laps
Step-by-step explanation:
because 4 laps is 1600+ the 80 which is a 1/5 of 400 causing it to be .2
C is the answer because the fractions are not proportional.
Answer: C. 9/14, 3/4
Answer:
-1/2
Step-by-step explanation:
2(x-4)=6x-6
2x-8=6x-6
2x-6x-8=-6
-4x-8=-6
-4x=-6+8
-4x=2
x=2/-4
simplify
x=-1/2
Answer:
to convert a fraction to a decimal you have to divide the numerator with the denominator.
so Rylie ate 12 grapes out of 20= 12/20
12/20=0.6
Step-by-step explanation: