Search & Filtering
I. State the null and alternative hypothesis for each statement.
1. A light bulb manufacturer claims that the mean life of a certain type of light bulb is more than 750 hours.
H0: _____
Ha: _____
2. A study claims that the mean survival time for certain cancer patients treated immediately with chemotherapy and radiation is 24 months.
H0: _____
Ha: _____
3. A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%.
H0: _____
Ha: _____
4. We want to test whether the general average of students in Math is different from 80%.
H0: _____
Ha: _____
5. We want to test whether the mean height of Grade 8 students is 58 inches.
H0: _____
Ha: _____
Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.
Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.
Determine the area to the left of g(y) = 3-y2 and to the right of x = -1
Find the area of f(x) = 3+2x-x² above the x-axis.
Find the area, take the elements of the area parallel to the x-axis. y= 2x³-3x³-9x; y=x²-2x²-3x.
a seller claim that her lip tint has a mean organic content of 90%. A rival seller asked 60 users of that lip tint and found that it has a mean organic content of 85% with a standard deviation of 5%. test the claim at 1% level of significance and assume tha the population is approximately normally distributed
Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.
A farmer wants to fence an area of 60,000 m2 in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be (in m) in order to minimize the cost of the fence?
smaller value = m
larger value = m
A poster is to have an area of 630 cm2 with 2.5 cm margins at the bottom and sides and a 5 cm margin at the top. Find the exact dimensions (in cm) that will give the largest printed area.
width = cm
height = cm
