A person’s level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 90 and standard deviation of σ = 21 What is the probability that, for an adult after a 12-hour fast, x is less than 53?

Draw a tree diagram to display all the possible head-tail sequences that can occur when you flip a coin four times.

Cultura: México . Frida Kahlo y Diego Rivera eran ____________. Los dos se dedicaban ___________. Muchas de las obras de Diego Rivera eran __________. Los antiguos pobladores de lo que hoy es la Ciudad de México eran (were) _________. México está en ___________. El 2 de noviembre los mexicanos celebran __________.

Please note that this question consists of six parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  The battery lifetime of particular type of calculator is supposed to last for 25,000 calculations on average.  A researcher suspects that these batteries are not as good as advertised. For a random sample of 16 batteries for such calculator type, the sample mean was found to be 24,680 calculations and standard deviation 482 calculations. Set up the appropriate null and alternative hypotheses for testing the question posed by the researcher. Are the conditions needed to carry out the test in part 1 satisfied? In addition to answering yes or no, clearly state the conditions and explain how you check.   Find the test statistic for the test in part 1. Show your calculations. Find the rejection region for the test in part 1 using 5% significance level. Clearly state the rejection region (it is not sufficient to provide just the critical value). Write the final conclusion in the context of the problem. Based on the decision you made in part 5, which error: type I or type II is possible? Explain.   

Nutrient acquisition is critical for the survival of all organisms. In what way do multicellular fungi acquire the nutrients they need?  

A protist is a  

Suppose for the test of   Vs    the p-value is 0.018. If the true population proportion is 0.45, then the probability of observing a test statistic as extreme or even more extreme than the one actually observed is 0.018. Is this statement true or false?

Current scientific information indicates that the earliest way humans acquire the microbiome is by  

For hypothesis tests or confidence intervals for a mean, the Central Limit Theorem allows the researcher to assume that the sample comes from a normal population, as long as the sample size is large. Is this statement true or false?

Put the following animal adaptations in order from earliest to most recent adaptation.   ​