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Q1) Last year the government made a claim that the average income of the American people...

Q1) Last year the government made a claim that the average income of the American people was $34100 However, a sample of 25 people taken recently showed an average income of $34,665 with a standard deviation of $3200. Is the government’s estimate too low? Conduct a significance test to see if the true mean is more than the reported average. Use α=0.05.

(a) State the null and alternative hypothesis.

(b) Calculate the test statistic.

(c) Calculate the p-value. Round to 4 decimal places

(d) Make a decision at the 0. 05 significance level to reject Ho or fail to reject Ho.

(e) Write your conclusion in the context of the claim.

Math   Statistics-And-Probability   
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Answer #1

d)as p vlaue is more than 0.05 level we fail to reject Ho.

e) we do not have sufficient evidence to conclude that government’s estimate too low

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