#3 4:22 143. Let x be a random variable representing the concentration of chemical Z in human blood. Over aiong time frame a population mean u = 12% or above is considered unhealthy. A patient has taken%3D12 blood samples over the last two weeks. The average concentration from these 12 samples is13% and s = 1.3%.Do these data suggest a population mean u higher than 12% for this patient? (Use a = 5%)b. Using the sample data, generate a 99% confidence interval for u. Please do this part on aseparate blank page!4. Women athletes at a university have a long term graduation rate of 67%. Over the past severalyears, a random sample of 38 women athletes at the school showed that 21 eventually graduated.Does this indicate that the population proportion of women athletes who graduate from thisuniversity has changed (either way)? Use a 1% level of significance.Is it better to fish from the shore or a boat? Let x be a random variable representing the number ofhours taken to catch a fish. The table below contains the data taken over several months for B from,the shore, and A from a boat.OctJanFebMarAprB/shore)1.61.83.23.93.63.3A (boat)1.51.42.23.33.03.8Use a 1% level of significance to determine if there is a difference in the population mean hours perfish using a boat compared with fishing from shore. (This is a paired difference problem.)In allocation two random samples were taken concerning the rate of hay fever per 1000 population.Sample 1 (n1 = 14) contained people under 25, sample 2 (n2 16) contained people over 50.ww%3D1 109.5 S1 15.41X2 = 99.36 S2 = 11.57Assumme that the hay fever rate in each group has an approximately normal distribution. Do the dataindicate that the over 50 group has a significantly lower hay fever rate? (Use a =(Note: Several of these problems have been adapted from our text.)TESTING:

Name: #3 4:22 143. Let x be a random variable representing the concentration
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Description: #3 4:22 143. Let x be a random variable representing the concentration of chemical Z in human blood. Over aiong time frame a population mean u = 12% or above is considered unhealthy. A patient has taken%3D12 blood samples over the last two weeks. The