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The number of calories and number of grams of sugar per serving were measured for 36 breakfast cereals. The data are in the file Cereal, containing columns Cereal Name, Number of Calories, Amount of Sugar and Amount of Fiber, in that order. We are interested in trying to predict the number of calories using the sugar content (in grams).
a) Test the hypothesis that sugar content has a linear relationship with calories. Report and interpret the p-value for the test.
b) Find and interpret a 95% confidence interval for the slope of this regression model.
A random sample of five observations from the first sample resulted in a standard deviation of (12). A random sample of seven observations from the second sample gave a standard deviation of (7) at the (.01) significance level.
A random sample of 70 printers discovered that a20 of them were being used in small businesses. Find the 99% limit for the population porportion of printers that are used in small businesses.
Use a data to obtain 95% confidence interval using your formula from Number 7. Does your interval contain the correct value?
Assume that, the standard deviation of a monthly rents paid by students in a particular town is $40 A random sample of 100 students was taken to estimate the mean monthly rent paid by the whole student population- solution?
Quality Motors is an automobile dealership that regularly advertises in its local market area. It claims that a certain make and model of car averages 30 miles to a gallon of gas and mentions that this figure may vary with driving conditions. A local..
Find the test statistic, p-value and critical value and state a final conclusion. Sample data: n=40, mean of the values in a sample = 117, assume that the standard deviation = 14 and the significance level = 0.05
Banner Mattress and Furniture Company wishes to study the number of credit applications received per day for the last 300 days.
Construct a 90% confidence interval for the true mean weight. What sample size would be necessary to estimate the true weight with an error of plus or minus .03 grams with a 90% confidence?
Each undergraduate course taught cost the college an average of $2,500 in faculty wages, and each graduate courses cost $ 3,000. How many undergraduate and graduate courses should be taught in the fall so that the total faculty salaries are kept t..
Currently, quarters have weights that are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g. A vending machine is configured to accept only those quarters with weights between 5.550 g and 5.790 g.
Determine regression line for predicting January temperature from latitude.
A sample of 35 workers was randomly selected from a workforce of 110 to estimate the average amount spent weekly at a canteen by each worker.the sample meam was $13 and the sample standard deviation was $3.25.
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