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Mathematics

STAT2103

Temple University

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a. Construct a 95% confidence interval around the difference in the MA and CA unemployment rates. Show you work.What are the lower and upper bounds of this confidence interval?

b. Is there a statistically significant difference in the unemployment rates between MA and CA at the 5% significance level?

Test the following null and alternative hypotheses.

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NAME: 0 a. What is the appropriat P-value: ? b. Can they infer at the 5 Choose Yes or No and state YES or NO: Conclusion: ? ? t customer staifisfaction (0-100 scale) increases when fares are uring the week. A seperate random sample of ten fliers are er priced). Test the research hypothesis that statisfaction following null and alternative hypotheses. H0: μR - μN = 0 where μR is the population mean sataisfaction during reduced fare week Ha: μR - μN > 0 and μN is the population mean sataisfaction during normal fare week hat is the appropriate p-value? Show your work on this Excel sheet. n they infer at the 5% significance level that customer satisfaction increased during the campaign? State you Yes or No and state your conclusion. H0: μR - μN = 0 Ha H0: μR - μN = 0 Ha H0: μR - μN ≠ 0 Ha H0: μR - μN = 0 Ha: μR - μN < 0 H0: μR - μN = 0 Ha: μR - μN ≠ 0 H0: μR - μN ≠ 0 Ha: μR - μN = 0 (3) Malls face increasing completion from Amazon. Last year the average consumer spent $50 at decreasing? This year, in a random sample of shoppers, each was asked how much money s/he spe they data support at α=5% significance level the research hypothesis that average shopper this yea Consumer Spending Test the fowllowing null and alternative hypotheses. $ 53.72 $ 31.17 $ $ 41.93 32.62 $ $ 60.73 41.51 a. $ $ $ 47.02 35.61 53.78 P-value: H0: μ = $50 Ha: μ < $50 b. where μ is the mean spent per shopper at What is the appropriate p-value? Show your work. ? Can they infer at the 5% significance level that consumer spendin YES or NO: Conclusion: ? ? e consumer spent $50 at the local mall. Is consumer spending ow much money s/he spent on the last trip to the local mall. Do average shopper this year spent less than $50? ean spent per shopper at the mall this year our work. el that consumer spending decreased since last year? State your conclusion. (4) The average length of stay in U.S. hospitals 3 days. The length of stay in days of a random samp Length of Stay (days) 1 6 1 a. 6 Lower Bound: Upper Bound: 8 9 11 6 7 13 9 2 3 Use this data to construct a 99% confidence interval. What are the ? ? b. Based on your confidence interval, is the length of stay at this local hospital significantly different from the Choose Yes or No and state your conclusion. YES or NO: Conclusion: ? ? nce interval. What are the upper and lower bounds? Show your work. ificantly different from the national average at the 1% significance level?
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