Can someone please help? Thank you. 10) A fitness app states that its users achieve an average step count of 8,000 steps per day. To verify this, yourandomly select 20 users and record their daily step counts: [7500, 8200, 7900, 8100, 8300, 8100, 8200, 7900,8000, 8300, 7600, 8200, 8000, 7900, 8000, 7800, 8300, 7900, 8100, 8000]. Is there evidence to support theapp's claim at a 1% significance level?

Answered: 10) A fitness app states that its users…

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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Question

Can someone please help? Thank you.

10) A fitness app states that its users achieve an average step count of 8,000 steps per day. To verify this, you
randomly select 20 users and record their daily step counts: [7500, 8200, 7900, 8100, 8300, 8100, 8200, 7900,
8000, 8300, 7600, 8200, 8000, 7900, 8000, 7800, 8300, 7900, 8100, 8000]. Is there evidence to support the
app's claim at a 1% significance level?

Expert Solution

Step 1: Solution

Given information

n= 20 Sample size

$top enclose x equals space fraction numerator sum for blank of x over denominator n end fraction equals 160300 over 20 equals 8015 space space S a m p l e space m e a n space s equals square root of fraction numerator sum for blank of left parenthesis x minus top enclose x right parenthesis squared over denominator n minus 1 end fraction end root s equals square root of 905500 over 19 end root s equals 218.3069 space space S a m p l e space s tan d a r d space d e v i a t i o n space mu equals 8000 space P o p u l a t i o n space m e a n space$