Answer:
Step-by-step explanation:
Given that:
Population Mean = 7.1
sample size = 24
Sample mean = 7.3
Standard deviation = 1.0
Level of significance = 0.025
The null hypothesis:
The alternative hypothesis:
This test is right-tailed.
Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test 
The test statistics can be computed as:
t = 0.980
Decision rule:
Since the calculated value of t is lesser than, i.e t = 0.980 < , then we do not reject the null hypothesis.
Conclusion:
We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.
Answer:
5x^3-x-3
Step-by-step explanation:
5x^3-2-x-1
5x^3-x-3
Answer:
x = 23
y = 128
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
98 = 2x + 3x - 17
115 = 5x
x = 23
Angles 3x - 17 and y form a linear pair, so they are supplementary.
3x - 17 + y = 180
3(23) - 17 + y = 180
69 - 17 + y = 180
52 + y = 180
y = 128
Using an ideal gas equation to solve the problem. Then the original volume is 17.67 liters.
<h3>What is an ideal gas equation?</h3>
An ideal gas is a theoretical composed of a set of randomly moving gas particles that interact only through elastic collision.
Given
A balloon containing 0.500 mol at 0. 00°C and 65.0 kPa pressure are expanded by adding more argon.
Pressure (P) = 65 kPa
Mole (n) = 0.5 mol
Temperature (T) = 0 °C = 273.15 K
Universal gas constant (R) = 8.317 L.kPa/mol.K
We know the ideal gas equation
Put the values, we have
Thus, the original volume is 17.67 liters.
More about the ideal gas equation link is given below.
brainly.com/question/4147359
