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A certain group of welfare recipients receives relief goods with a mean amount of Php 500.00 per week. A random sample of 75 recipients is survived and found that the mean amount of relief goods they received in a week is Php 600 and a standard decision of Php. 50.00. Test the claim at 1% level of significance is not Php 500.00 per week and assume that the population is approximately normally distributed. What type of test does the problem represent?
A certain group of welfare recipients receives relief goods with a mean amount of Php 500.00 per week. A random sample of 75 recipients is survived and found that the mean amount of relief goods they received in a week is Php 600 and a standard decision of Php. 50.00. Test the claim at 1% level of significance is not Php 500.00 per week and assume that the population is approximately normally distributed. Which of the following is correct null and alternative hypothesis, in symbol?
The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed.
a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 690?
b. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 690 mg?
c. Why is the probability in part A larger than part B?
A. A researcher reports that the average salary of College Deans is more than $63,000. At a = 0.01 level of confidence, test the claim that the College Deans earn more than $63,000 a month.
Professor Balenciaga has reported her students' grades for several semesters and the average for all the grades ofthese students is 83. Her new class of 28 students seem to be higher than the average of ability and she wants to demonstrate that the current class is superior to the previous classes according to their average. Is there sufficient evidence for the class average of 86.2 and the standard deviation of 12 present to support her argument that the current class is superior? Using the 0.05 significance level.
Professor Balenciaga has reported her students' grades for several semesters and the average for all the grades ofthese studs is 83. Her new class of 30 studs seem to be higher than the average of ability and she wants to demonstrate that the current class is superior to the previous classes according to their average. Is ther sufficient evidence for the class average of 86.2 and the standard deviation of 12 present to support her argument that the current class is superior? Using the 0.05 significance level.
Sixteen oil tins are taken at random from an automatic filling machine. The mean weight of the tins is 14.2 kg, with a standard deviation of 0.40 kg. Can we conclude that the filling machine is wasting oil by filling more than the intended weight of 14 kg, at a significance level of 5%? (5 marks)
The following data relate to advertising expenditure in. Sh. ten thousands and their corresponding sales (in Shs. millions). Advertising expenditure 10 12 15 23 20 Sales 14 17 23 25 21 i.) Fit a regression line of sales against advertising expenditure? (5mrks) ii) Estimate the sales when the advertising expenditure is of sh. 300,000? (2 marks)
Conduct a t-test for the null hypothesis against
alternative hypothesis based on 16 random
observations. The sample mean is 110 and the sample standard
deviation is 10. Use α = 0.05.
8. The average drive to work is 9.6 miles. Assume standard deviation is 1.8. If random sample of 36 employed who derive to work are selected, find the probability that mean of sample miles driven to work is between 9 and 10 miles.
