Before the furniture store began its ad campaign, it averaged 182 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 11 randomly selected days since the ad campaign began is shown below: 194, 170, 172, 180, 151, 169, 179, 181, 167, 170, 194 Assuming that the distribution is normal, what can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: Hv Select an answer v 182 H1: 182 c. The test statistic ? v = -1.826 (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
please help with: d, e ,f, g, h
(a)
Determine the type of study.
The type of study used t-test for a population mean.
(b)
State the hypotheses.
That is, there is no evidence to conclude that population mean number of customers since the ad campaign began is different from 182
That is, there is evidence to conclude that population mean number of customers since the ad campaign began is different from 182
(c)
Obtain the value of the test statistic.
Use EXCEL Procedure to obtain values for the given samples.
Follow the instruction to obtain the value of mean and SD:
- Open EXCEL
- Go to Data>Data Analysis.
- Choose Descriptive Statistics.
- Enter the input range as $A$1:$A$12.
- Check the Labels in the first row.
- Check the option Summary statistics
- Click OK.
EXCEL output:
From the EXCEL output, the value of mean is 160.4545 and the standard deviation is 49.1475.
The required value is,
Thus, the value of the test statistic is 1.454.
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