Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 16.157 25.829 1395 8071 18,389 15,835 14,536 26,744 Female 24,483 13,192 18,156 17.633 12.556 16,421 15.826 18,164 a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, p, 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 words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? word(s) word(s) My: 14 P H₁: (Type integers or decimals. Do not round) identify the last statistic 1(Round to two decimal places as needed) Identify the P-value P-value (Round to three decimal places as neec < What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There & 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 word(s) word(s) (Round to the nearest integer as needed) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains 1 4 onf ten res ec greater than less than or equal to only positive numbers, only negative numbers, zero, the null hypothesis 2 fail to reject reject 5 sufficient evidence to support the claim that males speak fewer words in a day than females. 3 fail to reject reject L is not is A all optioin are respectively

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
1395 8071
Male 16,157 25,829
18,389 15,835 14,536 26,744 O
Female 24,483 13,192 18,156 17,633 12,556 16,421 15,826 18,164
a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females.
In this example, p 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 words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?
Ho Hd word(s)
word(s)
H₁: Pd
(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 need
What is the conclusion based on the hypothesis test?
Since the P-value is
the significance level,
the null hypothesis. There
sufficient evidence to support the claim that males speak fewer words in a day than females.
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 word(s)<<
word(s).
(Round to the nearest integer as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains
1
4
onf
ten
res
ec
greater than
less than or equal to
only positive numbers,
only negative numbers,
zero,
=
the null hypothesis.
2
fail to reject
reject
5
3
fail to reject
reject
is not
is
all optioin are respectively
Transcribed Image Text:Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. 1395 8071 Male 16,157 25,829 18,389 15,835 14,536 26,744 O Female 24,483 13,192 18,156 17,633 12,556 16,421 15,826 18,164 a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, p 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 words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? Ho Hd word(s) word(s) H₁: Pd (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 need What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There sufficient evidence to support the claim that males speak fewer words in a day than females. 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 word(s)<< word(s). (Round to the nearest integer as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains 1 4 onf ten res ec greater than less than or equal to only positive numbers, only negative numbers, zero, = the null hypothesis. 2 fail to reject reject 5 3 fail to reject reject is not is all optioin are respectively
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