The Consumer Price Index (CPI) is a measure of inflation obtained by comparing current prices with base prices in 1982–84. We can find the inflation rate for a given time period by calculating the percent of change in the CPI over that time period. For example, the CPI in 2005 was 195.3 and in 2009 it was 214.5, so the inflation rate was 214.5 − 195.3 195.3 ≈ 0.098 = 9.8 % . Use the given graph to do Exercises 47–50. Your answers may vary slightly due to rounding. Effect of inflation on the cost of sneakers. a. Calculate the inflation rate from 1990 to 2015. b. If a pair of sneakers cost $83 in 1990, use the inflation rate from part (a) to estimate the cost of the sneakers in 2015.
The Consumer Price Index (CPI) is a measure of inflation obtained by comparing current prices with base prices in 1982–84. We can find the inflation rate for a given time period by calculating the percent of change in the CPI over that time period. For example, the CPI in 2005 was 195.3 and in 2009 it was 214.5, so the inflation rate was 214.5 − 195.3 195.3 ≈ 0.098 = 9.8 % . Use the given graph to do Exercises 47–50. Your answers may vary slightly due to rounding. Effect of inflation on the cost of sneakers. a. Calculate the inflation rate from 1990 to 2015. b. If a pair of sneakers cost $83 in 1990, use the inflation rate from part (a) to estimate the cost of the sneakers in 2015.
Solution Summary: The author calculates the inflation rate for a given time period by calculating the percent of change in CPI.
The Consumer Price Index (CPI) is a measure of inflation obtained by comparing current prices with base prices in 1982–84. We can find the inflation rate for a given time period by calculating the percent of change in the CPI over that time period. For example, the CPI in 2005 was 195.3 and in 2009 it was 214.5, so the inflation rate was
214.5
−
195.3
195.3
≈
0.098
=
9.8
%
. Use the given graph to do Exercises 47–50. Your answers may vary slightly due to rounding.
Effect of inflation on the cost of sneakers.
a. Calculate the inflation rate from 1990 to 2015.
b. If a pair of sneakers cost $83 in 1990, use the inflation rate from part (a) to estimate the cost of the sneakers in 2015.
You may need to use the appropriate appendix table or technology to answer this question.
You are given the following information obtained from a random sample of 4 observations.
24
48
31
57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a)
State the null and the alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
(b)
Determine the test statistic. (Round your answer to three decimal places.)
(c)
Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 49.Do not reject H0. There is sufficient evidence to conclude that the…
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