questionsin one hybridization experiment 8070

Question

Questions

1. In one hybridization experiment 8070 offspring seeds were obtained, and 23.54% of them had green flowers.  The others had white flowers.  Perform a hypothesis test that uses a 0.05 significance level to test the claim that green flowered seeds occur at a rate less than 24%
2. Randomly selected students participated in an experiment to test their ability to determine when sixty seconds has passed forty students yielded a sample mean of 56.5 seconds.  Assuming that the population standard deviation is 9.5 seconds, use a 0.05 significance level to test the claim that the population mean is equal to 60 seconds.
3. A sample of 751 body temperature was taken.  The sample data resulted in a sample mean of 98.2F and a sample standard deviation of 0.7F Test the claim that the mean body temperature is more than 98.6F using 0.05 significance level
4. The population of quarters in the U.S. has a mean weight of 5.842 grams and a standard deviation of 0.068 grams.  New equipment was developed and tested to reduce variation.  A sample of 26 quarters minted with the new equipment has a standard deviation of 0.044 grams.  Use a 0.01 significance level to test the claim that the new equipment will produce quarters with a standard deviation less than 0.068 grams.
5. Find the minimum sample size required to estimate a population proportion given that the margin of error is within 4 percentage points with a 95% confidence level, and ^p=0.56