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
1.75 yards .its simple you just have to see how much youll have to multiply by 4 to get 7
Answer:
Answer;
-38 %
Step-by-step explanation:
Explanation;
-Budget busters are the large potential problem areas that can destroy a budget. Failure to control even one of these problem areas can result in financial disaster.
-Housing takes about 38 percent of your monthly budget. Housing decisions should be based on need and financial ability, not on internal or external pressure.
-Food takes 12 percent of your monthly budget. The reduction of a family's food bill requires quantity and quality planning.
-Transportation (purchase and maintenance), takes 15 percent of your monthly budget, Debts takes 5 percent of Net Spendable Income, Insurance takes 5 percent of Net Spendable Income assuming an employer provides medical insurance, Recreation/Entertainment takes 5 percent of Net Spendable Income, Clothing takes 5 percent of Net Spendable Income, Medical and dental takes 5 percent of Net Spendable Income and Savings takes 5 percent of Net Spendable Income
Hello There!
<u><em>n - d = 0</em></u>
<u><em>5n+10d = 90</em></u>
<u><em>----------------------</em></u>
<u><em>n-d = 0</em></u>
<u><em>n+2d = 18</em></u>
<u><em>-------------------</em></u>
<u><em>Subtract and solve for "d":</em></u>
<u><em>3d = 18</em></u>
<u><em>d = 6 (# of dimes)</em></u>
<u><em>n = d = 6 (# of nickels)</em></u>