Homework Answers

According to a student conducted by the grade 12 students P155 is the average monthly expense for cellphone loads of high school students in their province. A statistics student claims that this amount has increased since January of this year. do you think his claim is acceptable if a random sample of 50 students has an average monthly expense of P165 for cellphone loads? Using 5% level of significance, assume that a population standard deviation is P52

2. An association of City Mayors conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random sample of 20 families were asked and found a mean of 5 times in a week and a standard deviation of 2. Use 5% significance level to test that the population mean is not equal to 5. Assume that the population is normally distributed

Find the volume of the solid by revolving the astroid x⅔+y⅔=a⅔ along x axis

A medical expert claims that 80% of recovered COVID-19 patients have produced antibodies against the virus. To verify this, 1,000 recovered patients were tested and found that 823 of them have antibodies for the corona virus. Is this enough evidence to support the claim? Use 𝑎 = 0.01.

A politician claims that he will get at least 70% of the votes. Out of 300 randomly sampled registered voters, 200 said they will vote for the said politician. Test the claim using 0.10 level of significance.

The score 28 and 40 bound the middle 95% of the distribution. What percent is left at the tails of the distribution

A local political leader claims that 95% of the families in his area of responsibility 

were given “ayuda” during a one-month lockdown. Of a random sample of 200 families, 187 said they received relief or “ayuda”. Is this enough to affirm the 

leader’s claim? Use 𝑎 = 0.05.

It is a point such that 90% of the distribution lies below it and 10% lies above

Find the perimeter of loop of the curve 3ay²=x²(a-x)