Consider the data. x 2 9. 13 20 Y 5 19 25 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) 6.555 1x (b) Test for a significant relationship by using the t test. Use a 0.05. State the null and alternative hypotheses. O Ho: , - 0 H 0 OHo: P20 Ho: P < 0 O Ho: Po 0 H: Po - 0 O Ho: Po-0 H: Po 0 O Ho: P 0 H: -0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Reject Ho. We conclude that the relationship between x and y is significant. Use the F test to test for a significant relationship. Use a 0.05. State the null and alternative hypotheses. O Ho: Po * 0 Ha: Po = 0 O Ho: P - 0 Ha: P 0 O Ho: Po-0 H: Po0 O Ho: B 20 H: P <0 O Ho: P +0 H P = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Reject Ho: We conclude that the relationship between and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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1

Consider the data.
X 2
9
13 20
Y 5
19
8
25
22
(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)
6.555
(b) Test for a significant relationship by using the t test. Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B, = 0
H: P *0
O Ho: P20
H: < 0
O Ho: Po *0
H: Po = 0
O Ho: Po - 0
H: Po * 0
O Ho: P 0
H: = 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject Ho: We cannot conclude that the relationship between x and y is
significant.
O Do not reject Ho. We conclude that the relationship between x and y is significant.
O Reject Ho. We cannot conclude that the relationship between x and y is significant.
O Reject Ho. We conclude that the relationship between x and y is significant.
OUse the F test to test for a significant relationship. Use a = 0.05.
State the null and alternative hypotheses.
O Ho: Po +0
H: Po = 0
OHo: P 0
H: P 0
O Ho: Po = 0
Ha: Po *0
O Ho: B 20
H: P < 0
O Ho: B 0
H: B, = 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
O Do not reject Ho. We conclude that the relationship between x and
is significant.
O Reject Ho. We cannot conclude that the relationship between x and y is significant.
O Reject Ho. We conclude that the relationship between x and y is significant.
O Do not reject Ho. We cannot conclude that the relationship between x and y is
significant.
Transcribed Image Text:Consider the data. X 2 9 13 20 Y 5 19 8 25 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) 6.555 (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. O Ho: B, = 0 H: P *0 O Ho: P20 H: < 0 O Ho: Po *0 H: Po = 0 O Ho: Po - 0 H: Po * 0 O Ho: P 0 H: = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject Ho: We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Reject Ho. We conclude that the relationship between x and y is significant. OUse the F test to test for a significant relationship. Use a = 0.05. State the null and alternative hypotheses. O Ho: Po +0 H: Po = 0 OHo: P 0 H: P 0 O Ho: Po = 0 Ha: Po *0 O Ho: B 20 H: P < 0 O Ho: B 0 H: B, = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? O Do not reject Ho. We conclude that the relationship between x and is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
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