If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volume
2 answers:
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Answer:
Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
Answer:
The degrees of freedom are:
Now we can calculate the p value using the alternative hypothesis:
Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces
Step-by-step explanation:
Assuming the following data:"12.14 12.05 12.27 11.89 12.06
12.14 12.05 12.38 11.92 12.14"
We can calculate the sample deviation with this formula:
represent the sample size
represent the confidence level
represent the sample variance
represent the value to verify
Null and alternative hypothesis
We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
The statistic can be calculated like this;
The degrees of freedom are:
Now we can calculate the p value using the alternative hypothesis:
Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces