Math245 - Addo Lab4 StatCrunch Application to Hypothesis Testing Due April 22

Stat Crunch Application to Hypothesis Testing

Login to Canvas MyLab and Mastering Course Home, StatCrunch Website or StatCrunch with data in the text Stat Z Stat OR T Stat OR Proportion Stat. Copy and paste the hypothesis testing's output in stat crunch below each question and decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

1. A random sample of 100 medical school applicants at a university has a mean of total score of 502 on the MCAT. According to a report, the mean total score for the school's applicants is more than 499. Assume the population standard deviation is 10.6. At = 0.01, is there enough evidence to support the report's claim?

2.A sports statistician claims that the mean winning times for Boston Marathon women's open division champions is at least 2.68 hours. The mean winning time of a sample of 30 randomly selected the Boston Marathon women's open division champions is 2.60 and the population standard deviation is 0.32 hour. At = 0.05, can you reject the claim?

3. The heights (in feet ) of 36 randomly selected top-rated roller coasters are listed in Data from StatCrunch 7.2 Exercise 35. Assume the population standard deviation is 71.6 feet. At = 0.05, is there enough evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet?

4. A credit reporting agency claims that the mean credit card debt by state is greater than $5500 per person. You want to test this claim. You find that a random sample of 30 states has a mean credit card debt of $5594 per person and a standard deviation of $597 per person. At = 0.05, can you support the claim?

5. A state Department of Transportation claims that the mean wait time for various services at its different location is at most 6 minutes. A random sample of 34 services at different locations has a mean wait time of 10.3 minutes and a standard deviation of 8.0 minutes. Is there enough evidence to reject the claim at a= 0.01.

6. A research center claims that 27% of U.S. adults would travel into space on a commercial light if they could afford it. In a random sample of 1000 U.S. adults, 300 say that they would travel into space on a commercial flight if they could afford it. At a = 0.05, is there enough evidence to reject the research center's claim?

7. A research center claims that at most 18% of U.S. adults' online food purchases are for snacks. In a random sample of 1995 U.S. adults, 20% say their online food purchases are for snacks. At a = 0.10, is there enough evidence to reject the center's claim?