Answer:
idk
Step-by-step explanation:
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of interior angles of a triangle is 180°.
Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°
Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)
= 35°
Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,
Both the triangles will be similar by AA property of similarity.
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Using the Central Limit Theorem, it is found that:
- The standard deviation is
.
<h3>Central Limit Theorem</h3>
- It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean
and standard deviation 
- When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:
In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:
Hence, for the distribution of differences:
To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444
