hexacordoK

2020-11-14

To state:Null hypothesis and alternative hypothesis.

Nichole Watt

Skilled2020-11-15Added 100 answers

Given:

A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class1, the mean exam for 12 students is 78.7 with a standard deviation of 6.5. In Class 2, the mean exam core for 15 students is 81.1 with a standard deviation of 7.4. Assume that the population variances are equal.

Let class 1 is population! and class 2 is population 2. Let${\mu}_{1}$ be the mean exam score of population 1 and ${\mu}_{2}$ mean score of population 2. A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. When written mathematically, this is ${\mu}_{1}\ne {\mu}_{2}$ and hence the alternative hypothesis. By subtracting ${\mu}_{2}$ from both sides of the above inequality result $i{\mu}_{1}i-{\mu}_{2}0$ .

The null hypothesis is that there is no significant difference between the mean exam scores of class 1 and class 2 students.

${H}_{0}:{\mu}_{1}-{\mu}_{2}=0$

Alternative hypothesis is that there is a significant difference between the mean exam scores of class 1 students and class 2 students.

${H}_{1}:{\mu}_{1}-{\mu}_{2}\ne 0$

Thus, the hypotheses are stated as follows:${H}_{0}:{\mu}_{1}-{\mu}_{2}=0$

${H}_{1}:{\mu}_{1}-{\mu}_{2}\ne 0$

A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class1, the mean exam for 12 students is 78.7 with a standard deviation of 6.5. In Class 2, the mean exam core for 15 students is 81.1 with a standard deviation of 7.4. Assume that the population variances are equal.

Let class 1 is population! and class 2 is population 2. Let

The null hypothesis is that there is no significant difference between the mean exam scores of class 1 and class 2 students.

Alternative hypothesis is that there is a significant difference between the mean exam scores of class 1 students and class 2 students.

Thus, the hypotheses are stated as follows:

Given that 1${\mathrm{log}}_{a}\left(3\right)\approx 0.61$ and l${\mathrm{log}}_{a}\left(5\right)\approx 0.9$ , evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the the logarithms of 3 and 5.

$C=\frac{5}{9}(F-32)$

The equation above shows how temperature

*F*, measured in degrees Fahrenheit, relates to a temperature*C*, measured in degrees Celsius. Based on the equation, which of the following must be true?1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of $\frac{5}{9}$ degree Celsius.

2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

3. A temperature increase of $\frac{5}{9}$ degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only

B) II only

C) III only

D) I and II onlyOne of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.

One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.

if -x^2+y^2=4-4x^2y then find the equations of all tangent lines to the curve when y=-5

Find the formula for an exponential function that passes through (0,6) and (2,750)

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is

x-6y-5=0

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is x-6y-5=0

A polynomial of a degree 5 had rational coefficients and the zeros $\frac{4}{3},8i$, and $3-5\sqrt{2}$

What are the missing zeros?

Let R be the relation on the set {0, 1, 2, 3} containing the ordered pairs (0, 1),(1, 1),(1, 2),(2, 0),(2, 2),(3, 0). Find reflexive, symmetric and transitive closure of R.

A baseball team plays in a stadium that holds 70,000 spectators. With the ticket price at $11, the average attendance has been 29,000. When the price dropped to $10, the average attendance rose to 35,000. Assuming the demand function, p(x)$p\left(x\right)$, is linear, find p(x)$p\left(x\right)$, where x$x$ is the number of the spectators.

*Write p(x)*$p\left(x\right)$*in slope-intercept form.*To break even in a manufacturing business, income or revenue R must equal the cost of production the letter C. The cost the letter C to produce X skateboards is the letter C = 108+21X. The skateboards are sold wholesale for $25 each, so revenue the letter R is given by the letter R = 25 X. Find how many skateboards the manufacture needs to produce and sell to break even. (Hint: set the cost expression equal to the revenue expression and solve for X.)