1) The 90% confidence interval of the mean of each group 2) construct a complete hypothesis test and determine if the two groups have significantly difference balances using a=0.05. ll Sprint ?*7:18 PM@ 25%( All InboxesDirections: In cell B2below, where it saysname, type your nameand hit enter. Then copyand paste the data into aWord document.Sandra SantiagoBalance Time (sec)Number of Days WorkoutFavorite WorkoutMen 11776.ВackMen 2184BackMen 3108BackMen 41287ВackMen 5566ArmsMen 6744ChestMen 7681ChestMen 823ChestMen 91846.ArmsMen 101634ArmsMen 111587ChestMen 12162ВackWomen11047ArmsWomen1692ChestWomen31333LegsWomen41407ChestWomen5327ChestWomen1127ChestWomen7873LegsWomen8791Вack

Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per the policy, we have solved only one question for you. If you need any specific question to be answered, please re-submit the question separately or by specifying the question number or name.Given information: Given data represents the values of the variables balance time, number of days workout and favorite workout for men and women.State the hypotheses: Denote µ1 as the population mean balance time for men and µ2 as the population mean balance time for women. The null and alternate hypotheses are stated below: Null hypothesis H0: H0: µ1 = µ2 That is, there is no significant difference in the mean balance time between the two groups men women. Alternative hypothesis H1: H1: µ1 ≠ µ2 (Two tailed test) That is, there is a significant difference in the mean balance time between the two groups men women.Two sample t test: EXCEL software can be used to perform a two-sample t test for the given data. Software Procedure: The step-by-step procedure to perform a two-sample t test using EXCEL software is given below: Open an EXCEL file. Enter the data of Men in column A and name it as Men. Enter the data of Women in column B and name it as Women. Select Data > Data Analysis > Two-Sample Assuming Equal Variances > OK. In Variable 1 Range enter $A$1:$A$13 and in Variable 2 Range enter $B$1:$B$9. Click on Labels and enter Alpha as 0.05. Click OK. The obtained output is shown below: From the above obtained output below values are reported: The degrees of freedom is d.f = 18. The test statistic value is t = 0.1182. The P-value is P-value = 0.9072. Decision rule: The level of significance is α = 0.05. Decision rule based on P-value approach: If P-value ≤ α, then reject the null hypothesis H0. If P-value > α, then fail to reject the null hypothesis H0. Conclusion: Conclusion based on P-value approach: The P-value is 0.9072 and α value is 0.05. Here, P-value is greater than the α value. That is, 0.9072 (=P-value) > 0.05 (=α). By the rejection rule, fail to reject the null hypothesis. Thus, there is no significant difference in the mean balance time between the two groups men women.

Answered: construct a complete hypothesis test…

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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1) The 90% confidence interval of the mean of each group

2) construct a complete hypothesis test and determine if the two groups have significantly difference balances using a=0.05.

ll Sprint ?*
7:18 PM
@ 25%
( All Inboxes
Directions: In cell B2
below, where it says
name, type your name
and hit enter. Then copy
and paste the data into a
Word document.
Sandra Santiago
Balance Time (sec)
Number of Days Workout
Favorite Workout
Men 1
177
6.
Вack
Men 2
18
4
Back
Men 3
108
Back
Men 4
128
7
Вack
Men 5
56
6
Arms
Men 6
74
4
Chest
Men 7
68
1
Chest
Men 8
23
Chest
Men 9
184
6.
Arms
Men 10
163
4
Arms
Men 11
158
7
Chest
Men 12
162
Вack
Women
1
104
7
Arms
Women
169
2
Chest
Women
3
133
3
Legs
Women
4
140
7
Chest
Women
5
32
7
Chest
Women
112
7
Chest
Women
7
87
3
Legs
Women
8
79
1
Вack

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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