A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 194 185 182 187 191 172 Height (cm) of Main Opponent 188 176 174 171 188 183 a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd (1) cm H1: H (2). (Type integers or decimals. Do not round.) cm Identify the test statistic. t%3D (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is (3). the significance level, (4) the null hypothesis. There (5) sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is cm < Hd < cm. (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains (6) (7) the null hypothesis. O is O reject O fail to reject (1) O = (2) О < (3) O less than or equal to (4) (5) O greater than O is not %3D (6) O only positive numbers, O zero, (7) O fail to reject O reject O only negative numbers,
A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 194 185 182 187 191 172 Height (cm) of Main Opponent 188 176 174 171 188 183 a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd (1) cm H1: H (2). (Type integers or decimals. Do not round.) cm Identify the test statistic. t%3D (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is (3). the significance level, (4) the null hypothesis. There (5) sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is cm < Hd < cm. (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains (6) (7) the null hypothesis. O is O reject O fail to reject (1) O = (2) О < (3) O less than or equal to (4) (5) O greater than O is not %3D (6) O only positive numbers, O zero, (7) O fail to reject O reject O only negative numbers,
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:4. A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are
heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a)
and (b) below.
Height (cm) of President
Height (cm) of Main Opponent 188 176 174 171 188 183
194 185 182 187 191 172
a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and
their main opponents, the differences have a mean greater than 0 cm.
In this example, H is the mean value of the differences d for the population of all pairs of data, where each individual
difference d is defined as the president's height minus their main opponent's height. What are the null and alternative
hypotheses for the hypothesis test?
Ho: Ha (1)
cm
H1: Hd (2)
cm
(Type integers or decimals. Do not round.)
Identify the test statistic.
t =
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is (3)
the significance level, (4)–
the null hypothesis. There
(5).
sufficient evidence to support the claim that presidents tend to be taller than their opponents.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the
confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is
cm < Hd <
cm.
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains (6)
(7).
the null hypothesis.
(5) O is
O is not
(1)
(2)
(3) O less than or equal to
(4)
O reject
%3D
greater than
fail to reject
(6) O only positive numbers,
O zero,
(7) O fail to reject
O reject
O only negative numbers,
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