Find the measure of x
1 answer:
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Answer:
The p-value is between .025 and .05
p-value = 0.028
The critical region is χ² ≥ 24.996
Using both approaches the decision is to reject the null hypothesis.
Step-by-step explanation:
Hello!
You have the following hypothesis
H₀: σ² ≤ 50
H₁: σ² > 50
α: 0.05
To test the population variance, the statistic to use has is Chi-Square distribution:
χ²=<u> (n-1)S² </u> ~χ²
σ²
With n= 16 and S= 9.5
The statistic value is:
χ²=<u> (16-1)(9.5)² </u> = 27.075
50²
This is a one-tailed test, to calculate the p-value you have to calculate the probability of the χ² value.
P(χ² ≥ 27.075) = 1 - P(χ²
< 27.075) = 1 - 0.972 = 0.028
The p-value is between .025 and .05
p-value = 0.028
Since the p-value ≤ α the decision is to reject the null hypothesis. You can conclude that the population variance is greater than 50.
As I said this is a one-tailed test, the critical value is:
χ² = χ²
= 24.996
Decision:
If χ² ≥ 24.996 then you reject the null hypothesis.
If χ² < 24.996 then you support the null hypothesis.
Since the calculated χ² value is greater than the critical value, you reject the null hypothesis.
I hope you have a SUPER day!
Answer: The correct option is 1, i.e., .
Explanation:
The geometric sequence is in the form of,
Where, a is the first term of the sequence and r is the common ratio of the sequence.
It means the term of the sequence is defined as,
So the the term of the sequence is defined as,
It means the geometric sequence is in the form of,
Where, r be any constant.
From the options only is in the form of
with common ratio
.
Therefore, the function can be used to model the graphed geometric sequence is .