(b) Basea on your sample, graph the 90% confidence interval for the population mean of all the heights of fully grown male V • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 7.74 from the article. 90% confidence interval: 0.000 10.000 7.740 0.000 2.000 4.000 6.000 8.000 10.000 x 5 ? (c) Does the 90% confidence interval you constructed contradict the claim made in the article? Choose the best answer from the choices below. O No, the confidence interval does not contradict the claim. The mean of 7.74 m from the article is inside the 90% confidence interval. O No, the confidence interval does not contradict the claim. The mean of 7.74 m from the article is outside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 7.74 m from the article is inside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 7.74 m from the article is outside the 90% confidence
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Čonstructing a confidence interval to test a claim about the...
(b) Basea on your sample, graph the 90% confidence interval for the population mean of all the heights of fully grown male West African giraffes.
• Enter the values for the lower and upper limits on the graph to show your confidence interval.
• For the point (), enter the claim 7.74 from the article.
90% confidence interval:
0.000
10.000
7.740
0.000
2.000
4.000
6.000
8.000
10.000
Does the 90% confidence interval you constructed contradict the claim made in the article?
(c)
Choose the best answer from the choices below.
O No, the confidence interval does not contradict the claim. The mean of 7.74 m from the article is inside the 90%
confidence interval.
O No, the confidence interval does not contradict the claim. The mean of 7.74 m from the article is outside the 90%
confidence interval.
O Yes, the confidence interval contradicts the claim. The mean of 7.74 m from the article is inside the 90% confidence
interval.
O Yes, the confidence interval contradicts the claim. The mean of 7.74 m from the article is outside the 90% confidence
interval.
Explanation
Check
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![Suppose tnat the population of heights of all fully grown male West African giraffes is approximately normally distributed. A recent article published in the
Zoology Now journal claims that the mean of this population is 7.74 m. You want to test the daim made in the artide, so you select a random sample of 11 fully
grown male West African giraffes and record the height of each.
Follow the steps below to construct a 90% confidence interval for the population mean of all heights of fully grown male West African giraffes. Then state
whether the confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results for your random sample.
Sample standard
deviation
Number of male West
Sample mean
African giraffes
Take Sample
11
5.021
1.679
Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90%
confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Sample size:
11
Standard error:
Point estimate:
Critical values
Sample standard deviation:
Margin of error:
f0.00s =3.169
f0.010 =2.764
Critical value:
0.025 =2.228
90% confidence interval:
0.050-1.812
Compute
Explanation
Check
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