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a) The mean number of cargo ships that arrive at a port is 3 per day. The port has staff and facilities to handle up to 6 ships in a day. Using the Poisson distribution, find the probability that, on a given day,
i. five ships will arrive;
ii. too many cargo ships will arrive.
b) The following represents a random sample of the amounts of carbohydrates (in grams) for thirty sandwiches from a fast food restaurant:
33 30 31 33 37 39 40 45 37 37 62 61 59 43 40
44 49 59 51 62 55 66 39 35 27 34 27 33 29 29
Find, by hand, a 95% con dence interval for the mean amount of carbohydrates in sandwiches at this particular restaurant.
Critically discuss some examples of literature reviews and statistics used and available at your work place or organization? What are they used for and how are they determined?
What is the approximate probability that the combined weight of 25 items exceeds 445 ounces? What theorem is useful in answering this question?
What is the probability of getting a number less than 5 on both?
Findout the margin of error for this survey if we want a 99 percent confidence in our estimate of the percent of adults over 50 who take vitamin supplements.
Use the five steps of hypothesis testing to determine whether the observed differences in the number of activities in the following table performed by the three groups are statistically significant at the .05 level of significance. Clearly indicat..
The least squares simple linear regression line minimizes the sum of the vertical deviations between the line and the data points.
For the following data set, indicate whether the shape of the distribution is normal, positively skewed, or negatively skewed. Provide evidence for your answer by calculating the mean, mode, and median.
Assume a linear relationship, use the least square method to find the regression coefficients bo and b1 and Predict the mean kilowatt usage when the average temperature is 50 degrees Fahrenheit.
Market researchers would like to know if customers prefer a well-known brand over a generic brand of soft drink. They give a large sample of people the two drinks to taste in a random order and ask them which one tastes better.
Some of the factors affect statistical power for a one sample t test. How does statistical power change (increase or decrease) for each of the following changes?
Now compute the standard deviation for this distribution.
Define the Linear programming problem (LPP)
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