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The ABC battery company claims that their batteries last at least 100 hours, on average. Your experience with their batteries has been somewhat different, so you decide to conduct a test to see if the company's claim is true. You believe that the mean life is actually less than the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n = 20 batteries. Some of the information related to the hypothesis test is presented below.
Test of H0: >= 100 versus H1: < 100 Sample mean 98.5 Std error of mean 0.777
Assuming the life length of batteries is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example, 0.0234 would be a legitimate entry.
Test the hypothesis that random variable 30.4 31.2 30.8 29.9 30.4 30.7 29.9 30.1 come from a normal distribution with mean 30.5. The standard deviation of the measurements is known to be 0.1
In an experimental study of the effects of exercise on stress, participants are randomly assigned to either the no exercise or the exercise conditions. Identify what type of study this is-between-, within-, or matched-participants. In addition, id..
A hat contains three coins - one gold, one silver and one copper. You will select coins one at a time without replacement until you choose the gold coin. The outcome of interest is the sequence of coins that are selected during this process.
In order to answer the following questions, first draw a density curve describing this distribution. Pay attention to the height of the curve!
There are 10 flights from Minneapolis to St. Cloud each day. The probability that any one flight is late is 0.05. Using the binomial probability formula, what is the probability that 1 or more are late?
Consider trade relations in the United State and Mexico. Suppose that leaders of two countries believe the payoffs to alternative trade policies are as follows:
A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is independent of the others. If she serves 5 times, what's the probability she gets:
A null hypothesis is that the average pulse rate of adults is 70. For a sample of 64 adults, the average pulse rate is 71.8. A significance test is done and the p-value is 0.02. What is the most appropriate conclusion based on α of 0.05?
In the summer ECMBA has a group assignment. Students are assigned to two person groups that have to make a 25 point paper applying game theory to competitive strategy.
Assume that JVC is trying to decide how to rate a new stereo system composed of a receiver, CD player, & speakers. The firm's economists have estimated that 2-different groups will buy these products
Following is a payoff matrix for Intel and AMD. In each cell, 1st number refers to AMD's profit, while second is Intel's.
An instructor claims the average time to take a statistics test is more than 39 minutes. If a sample of 33 students took 43 minutes, is the instructor's claim true? Test at the 0.05 level.
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