DO F 0 TextEdit File Edit Format View Window Help Times New Roman C Bold 12 D 1..... T-Distribution 3. Statistical Abstracts (117th edition) reports that the average amount spent annually for food by householders under 25 years of age is $2,690. A random sample of 16 people under 25 years of age who live in a university neighborhood were surveyed. The survey showed that they spent a sample mean amount of $3,220 with sample standard deviation $750. Test the claim that the mean for this neighborhood is different from the national average. Use a 5% significance level. Assume our data is normally distributed. a) State the null and alternate hypotheses. b) Would you perform a one-tailed or two-tailed test? Why? c) State the test statistic and p-value for your test. Round your answers to four decimal places. 2 Hypothesis Test Assignment (1).rtf

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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1 v Times New Roman Bold
C
C12 v
स BIV
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T-Distribution
3. Statistical Abstracts (117th edition) reports that the average amount spent annually for
food by householders under 25 years of age is $2,690. A random sample of 16 people
under 25 years of age who live in a university neighborhood were surveyed. The survey
showed that they spent a sample mean amount of $3,220 with sample standard deviation
$750. Test the claim that the mean for this neighborhood is different from the national
average. Use a 5% significance level. Assume our data is normally distributed.
a) State the null and alternate hypotheses.
b) Would you perform a one-tailed or two-tailed test? Why?
c) State the test statistic and p-value for your test. Round your answers to
four decimal places.
d) Explain your conclusion to reject or fail to reject the null hypothesis in
terms of p and a.
e) Interpret your conclusion in the context of this problem.
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Hypothesis Test Assignment (1).rtf
APR
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MacBook Air
F6
F5
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Transcribed Image Text:C TextEdit File Edit Format View View Window Help 000 1 v Times New Roman Bold C C12 v स BIV 1.... Ev 0 T-Distribution 3. Statistical Abstracts (117th edition) reports that the average amount spent annually for food by householders under 25 years of age is $2,690. A random sample of 16 people under 25 years of age who live in a university neighborhood were surveyed. The survey showed that they spent a sample mean amount of $3,220 with sample standard deviation $750. Test the claim that the mean for this neighborhood is different from the national average. Use a 5% significance level. Assume our data is normally distributed. a) State the null and alternate hypotheses. b) Would you perform a one-tailed or two-tailed test? Why? c) State the test statistic and p-value for your test. Round your answers to four decimal places. d) Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and a. e) Interpret your conclusion in the context of this problem. AW N 000 20 000 F4 O ← esc F1 0 F2 #3 F3 $ 4 www % 5 Hypothesis Test Assignment (1).rtf APR 28 MacBook Air F6 F5 ^ 6 & E Loe F7 S
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