Your hard work building the fancy fire pit you saw on Pinterest has really paid off! Now every weekend evening in the summer your neighbors and their kids come over to enjoy conversation, games, and cool beverages with you and your family. One especially cunning parent has managed to convince the neighborhood children to put down their tablets and phones and play by catching (and sometimes releasing) fireflies. You make a game out of it by seeing how many they can catch every 15 minutes. Throughout the course of a long evening, you collect the data below, which shows how many fireflies the kids catch every 15 minutes. Assuming this data comes from a normally distributed population – can you conclude that the average number of fireflies caught after 10 pm was greater than the average caught before 10 pm? Use = 0.05. Before 10pm After 10pm 6 15 8 12 12 9 9 14 8 10 13 12 11 8 10 10 What type of hypothesis test is required here? 2 population Z test Is this a left-tailed, right-tailed, or two-tailed test? Right tailed Verify all assumptions required for this test: State the null and alternate hypotheses for this test: (use correct symbols and format!) Run the correct test using software and provide the information below. Use correct symbols and round answers to 3 decimal places. Test Statistic t = -1.365 Degrees of freedom df = 13 Critical Value C = -1.771 p-value State your statistical decision (and justify it!) Interpret your decision within the context of the problem: what is your conclusion? I need help with the question in BOLD

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Your hard work building the fancy fire pit you saw on Pinterest has really paid off! Now every weekend evening in the summer your neighbors and their kids come over to enjoy conversation, games, and cool beverages with you and your family. One especially cunning parent has managed to convince the neighborhood children to put down their tablets and phones and play by catching (and sometimes releasing) fireflies. You make a game out of it by seeing how many they can catch every 15 minutes. Throughout the course of a long evening, you collect the data below, which shows how many fireflies the kids catch every 15 minutes. Assuming this data comes from a normally distributed population – can you conclude that the average number of fireflies caught after 10 pm was greater than the average caught before 10 pm? Use = 0.05.

Before 10pm	After 10pm
6	15
8	12
12	9
9	14
8	10
13	12
11	8
10	10

What type of hypothesis test is required here? 2 population Z test

Is this a left-tailed, right-tailed, or two-tailed test? Right tailed

Verify all assumptions required for this test:

State the null and alternate hypotheses for this test: (use correct symbols and format!)

Run the correct test using software and provide the information below. Use correct symbols and round answers to 3 decimal places.

Test Statistic t = -1.365 Degrees of freedom df = 13

Critical Value C = -1.771 p-value

State your statistical decision (and justify it!) Interpret your decision within the context of the problem: what is your conclusion?

I need help with the question in BOLD

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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