Preliminary data analyses indicate that you can reasonably use a t-test to conduct each of the hypothesis tests required in Exercises Apparel and Services. According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer unit spent $1736 on apparel and services in 2012. That same year, 25 consumer units in the Northeast had the following annual expenditures, in dollars, on apparel and services. 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 5% significance level, do the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1736? (Note: The sample mean and sample standard deviation of the data are $1922.76 and $350.90, respectively.)

Question

Preliminary data analyses indicate that you can reasonably use a t-test to conduct each of the hypothesis tests required in Exercises

Apparel and Services. According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer unit spent $1736 on apparel and services in 2012. That same year, 25 consumer units in the Northeast had the following annual expenditures, in dollars, on apparel and services.

1279 1457 2020 1682 1273
2223 2233 2192 1611 1734
2688 2029 2166 1860 2444
1844 1765 2267 1522 2012
1990 1751 2113 2202 1712

At the 5% significance level, do the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1736? (Note: The sample mean and sample standard deviation of the data are $1922.76 and $350.90, respectively.)

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in
MathStatistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Q: Explain why the margin of error determines the accuracy with which a sample mean estimates a populat...

A: Margin of Error: The margin of error is defined as a statistic which gives the amount of sampling er...

Q: Suppose that you want to perform a hypothesis test for a population mean based on a small sample but...

A: a.One hypothesis test is needed for population mean with small sample but in the data outlier is pre...

Q: A local store is having a sale. All shoes are 40% off. If a pair of shoes normally costs $13.72 plus...

A: Note:Hey there! Thank you for posting the question. Since exact value is not given, from the given i...

Q: Casino Games When betting on the pass line in the dice game of craps at the Mohegan Sun casino in Co...

A: Note:Hey there! Thank you for posting the question. However, since the given probability distributio...

Q: State two of the main reasons for studying the normal distribution.

A: The two main reasons for studying the normal distribution are as follows:The normal distribution is ...

Q: Explain the meaning of the term hypothesis as used in inferential statistics.

A: Hypothesis testing:         Hypothesis testing was introduced by R.A.Fisher (Ronald Fisher).It is a ...

Q: Precision is a measure of -?-?

A: Precision:In measurement of a set, accuracy refers to closeness of the measurements to a specific va...

Q: Here is a data set: 647 696 453 614 696 612 617 581 565 570 608 514 556 517 659 666 696 6...

A: The class width is calculated as follows:

Q: In Exercises, X denotes a binomial random variable with parameters n and p. For each exercise, indic...

A: Continuity correction:The binomial probability is converted to a normal distribution probability by ...