1. Although there is a popular belief that herbal remedies such as ginkgo biloba and ginseng may improve learning and memory in health adults, these effects are usually not supported by well-controlled research (Persson, Bringhlov, Nilson, & Nyberg, 2004). In a typical study, a researcher obtains a sample of n = 36 participants and has each person take the herbal supplements every day for 90 days. AT the end of the 90 days, each person takes standardized memory test. For the general population, scores form the test are normally distributed with a mean of = 80 and a standard deviation of = 18. The sample of research participants had an average of M= 84. A. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined. B. Using symbols, state the hypothesis ( Ho and H1) for the two-tailed test. C. Calculate the test statistics ( z-score) for the sample. D. What decision should be made about the null hypothesis, and what decision should be made about the effect of the herbal supplements?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
1. Although there is a popular belief that herbal remedies such as ginkgo biloba and ginseng may improve learning and memory in health adults, these effects are usually not supported by well-controlled research (Persson, Bringhlov, Nilson, & Nyberg, 2004). In a typical study, a researcher obtains a sample of n = 36 participants and has each person take the herbal supplements every day for 90 days. AT the end of the 90 days, each person takes standardized memory test. For the general population, scores form the test are
participants had an average of M= 84.
A. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined.
B. Using symbols, state the hypothesis ( Ho and H1) for the two-tailed test. C. Calculate the test statistics ( z-score) for the sample.
D. What decision should be made about the null hypothesis, and what decision should be made about the effect of the herbal supplements?
2. You get hired as a server at a local restaurant, and the manager tells you that servers’ tips are $42 on average but vary about $12 (μ = 42, σ = 12). You decide to track your tips to see if you make a different amount, but because this is your first job as a server, you don’t know if you will make more or less in tips. After working 16 shifts, you find that your average nightly amount is $44.50 from tips. Test for a difference between this value and the population mean at the α = 0.05 level of significance.
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