Answer:
There is enough evidence to infer at the 10% significance level that the population mean is greater than 23
Step-by-step explanation:
Given that the sample mean is 26 and sample std dev = 9
i.e
![\bar x = 26\\s=9\\n = 32\\se = \frac{9}{\sqrt{32} } =1.591](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%2026%5C%5Cs%3D9%5C%5Cn%20%3D%2032%5C%5Cse%20%3D%20%5Cfrac%7B9%7D%7B%5Csqrt%7B32%7D%20%7D%20%3D1.591)
![H_0: \bar x = 23\\H_a: \bar x >23](https://tex.z-dn.net/?f=H_0%3A%20%5Cbar%20x%20%3D%2023%5C%5CH_a%3A%20%5Cbar%20x%20%3E23)
(Right tailed test at 10% significance level)
Mean diff = 3
Test statistic t = ![\frac{3}{1.591} \\=1.886](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1.591%7D%20%5C%5C%3D1.886)
Critical region is t>1.310
df 31
p value = 0.034
Since p <0.10 reject null hypothesis
There is enough evidence to infer at the 10% significance level that the population mean is greater than 23
Critical region is in the enclosed file
Hello!
To solve any algebraic equation, you need to use SADMEP. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents and parentheses. Our goal is to isolate the variable, x.
24 - 4x = 15 - 3x + 10 - x (simplify)
24 - 4x = 25 - 4x (subtract 24 from both sides)
-4x = 1 - 4x (add 4x to both sides)
1 = 0
This equation has no solutions because 1 and 0 are <u>never equal</u> to each other, which means that this is identified to be neither because it <u>has no real solutions</u>.