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QUESTION: A researcher wishes to determine whether the average amount of bleaching agent in a 1kg packet of brand X wheat flour exceeds that of brand Y. Fifteen 1kg packets of wheat flour for each brand were selected at random. It is found that on average, X contains 5% bleaching agent with a standard deviation of 0.3 and Y contains on average, 4% bleaching agent content with standard deviation of 0.5.
a) Obtain the point estimate of the mean difference of the bleaching agent content in a packet of 1kg wheat flour.
b) Determine the sampling distribution for the mean difference of the bleaching agent in a 1kg packet of wheat flour.
c) Formulate the appropriate null and alternative hypotheses to be tested.
d) Calculate the test statistics for the test.
e) Interpret your findings at 5% level of significance.
A person claims to have ESP (extrasensory perception). A coin is tossed 16 times, and each time the person is asked to predict in advance whether the coin will land heads or tails.
The amounts dispensed by a cola machine follow the normal distribution with a mean of 7 ounces and a standard deviation of 0.10 ounces per cup.
At the .05 significance level, can we conclude that the guideline is still reasonable?
There is 0.75 probability that you will get promotion or raise. Probability of getting promotion and raise is 0.50. Determine the probability to receive a raise.
When solving a quadratic equation using the quadratic formula, it is possible for the b2 - 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number.
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The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month.
What is the best estimate of the average tread life for the entire population of these tires?
Let the following all-integer linear program: Max 1x1 + 1x2, s.t. 4x1 + 6x2
This question is asking for speculation about the possible results of a study if we change the size of the population. It all depends on unknowns such as how representative the 100 adults are of the population.
A four-year financial project is forecast to have net cash inflows of $20,000; $25,000; $30,000; and $50,000 in the next four years. It will cost $75,000 to implement the project
You're operating a business in very competitive market. You're not yet the dominant player, but you have invested heavily in marketing and product development and it has paid off with a steady growth rate of 10%.
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