Reference no: EM13111591
1. The value of the z-score that is obtained for a hypothesis test is influence by several factors. Some factors influence the size of the numerator of the z-score and the factors influence of the standard error in the denominator. For the following, indicate whether the factor influences the numerator or denominator of the z-score and determine whether the effect would be to increase the value of z (farther from zero) or decrease the value of z (closer to zero. In each case, assume that all other component of the z-score remain constant.
a. Increase the sample size
b. Increase the population standard deviation.
c. Increase the difference between the sample mean and the value of the µ specified in the null hypothesis.
2. Briefly explain the advantage of using an alpha level of .01 versus of .05. In general, what is the disadvantage of using a smaller alpha level?
3. A sample of n=9 scores is obtained from a normal population distribution with σ = 12 the sample M =60
a. With a two-tailed test and a= 0.5 use the sample data to test the hypothesis and the population mean is µ =65
b. With a two- tailed test and a =.05 use the sample data to test the hypothesis that the population is µ =55
c. In parts (a) and (b) of this problem, you should find that µ=65 and µ =55 are both acceptable hypotheses. Explain how two different values can both be acceptable.
|
What would be the ratio of brown-eyed
: 1. Let's assume for this problem that the world is divided into blue-eyed people and brown-eyed people. Let's also assume for the sake of simplicity that there is only one gene responsible for eye color and that the allele for brown eyes (B) is do..
|
|
Testable null statistical hypothesis
: Clearly identify the independent and dependent variables you would study. Determine whether a one-tail or two-tail test is most appropriate and explain why. Generate a testable null statistical hypothesis and an alternative statistical hypothesis.
|
|
Find volume of released gas at new conditions
: In the welding shop of the XYZ Manufacturing plant you have a cylinder with a volume of 548L of a compressed gas, and the pressure gauge shows 238 psig at the room temperature 25 C.
|
|
What is mutation rate
: Tay Sachs, an autosomal recessive genetic disease in humans has a frequency (q2, assuming random mating) of about 2x10-6; assuming random mating, therefore, the frequency of the Tay-Sachs allele, q is about 1.4x10-3 . Tay-Sachs sufferers usually d..
|
|
Testing of hypothesis-nature of z statistic
: The value of the z-score that is obtained for a hypothesis test is influence by several factors. Some factors influence the size of the numerator of the z-score and the factors influence of the standard error in the denominator.
|
|
Calculation of lethal inhalation
: The lethal inhalation dose of sarin for a 200 pound person has been determined to be 0.0015 mg. Determine the LD50 of sarin that researchers used to calculate this lethal inhalation dose.
|
|
Research questions of hypothesis testing
: Clearly identify the independent and dependent variables you would study. Determine whether a one-tail or two-tail test is most appropriate and explain why. Generate a testable null statistical hypothesis and an alternative statistical hypothesis.
|
|
Discussion on right-tail p-values
: Faced with rising fax costs, a firm issued a guideline those transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below.
|
|
Estimating density of air
: The density of air at ordinary atmospheric pressure and 25 0C is 1.19 g/L. What is the mass of air, in kg, in a room that measures 12.5 ft by 15.5 ft by 8.0 ft?
|