The average American gets a haircut every 39 days. Is the average larger for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 33, 41, 33, 33, з6, 50, 45, 50, 42, 34, 49, 38, 36 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? v Select an answer v H1: ? v Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean number of days between haircuts for college students is not significantly higher than 39 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 39. O The data suggest the population mean is not significantly higher than 39 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 39. O The data suggest the populaton mean is significantly higher than 39 at = 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 39.
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.
part f and g only please
![**Study on Average Days Between Haircuts for College Students**
The average American gets a haircut every 39 days. This study aims to determine if this average is larger for college students. The data presented below is from a survey of 13 college students, showing how many days elapse between their haircuts. We assume normal distribution for the population.
**Data Collected:**
- Days between haircuts: 33, 41, 33, 33, 36, 50, 45, 50, 42, 34, 49, 38, 36
**Hypothesis Testing at α = 0.10 Level of Significance:**
a. For this study, we should use [Select an answer].
b. The null and alternative hypotheses are:
- \( H_0 \): [Select an answer]
- \( H_1 \): [Select an answer]
c. The test statistic is denoted by \( ? \) and needs to be calculated, showing the answer to three decimal places.
d. Calculate the p-value, ensuring the answer is shown to three decimal places.
e. Compare the p-value \( ? \) with \( \alpha \).
f. Based on this comparison, we should [Select an answer] the null hypothesis.
g. Final conclusions:
- Option 1: The data suggest the population mean number of days between haircuts for college students is not significantly higher than 39 at \( \alpha = 0.10 \). Thus, there's insufficient evidence to conclude that the mean is higher.
- Option 2: The data suggest the population mean is not significantly higher than 39 at \( \alpha = 0.10 \). Hence, there is insufficient evidence to conclude that the mean for college students is exactly 39.
- Option 3: The data suggest the population mean is significantly higher than 39 at \( \alpha = 0.10 \). Therefore, there is sufficient evidence to conclude the mean for college students is higher than 39.
To proceed with this analysis, compute the test statistic and p-value using the sample data and compare it against the given α level to draw a conclusion on the hypotheses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4506b8da-c2cc-42a3-8039-41217f182aab%2F4891e446-8c5f-489b-b653-62cef186979d%2Fzz0u5ov_processed.jpeg&w=3840&q=75)
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