Question

Please answer the problem in this context if possible (State your assumptions, state the values you know from the problem, H (null) and H(alternative), state T-crit (critical value) and level of significance (p-value), state decision rule, state decision, state conclusion). Please use Ph stat.

Managing Ashland MultiComm Services

Continuing its monitoring of the upload speed first described in Chapter 6 Managing Ashland MultiComm Services case on page 213, the technical operations department wants to ensure that the mean target upload speed for all Internet service subscribers is at least 0.97 on a standard scale in which the target value is 1.0. Each day, upload speed was measured 50 times, with the following data.

1) Compute the sample statistics and determine whether there is evidence that the population mean upload speed is more than 0.97. Use Ph stat

Data:

Upload Speed

0.854

1.023

1.005

1.030

1.219

0.977

1.044

0.778

1.122

1.114

1.091

1.086

1.141

0.931

0.723

0.934

1.060

1.047

0.800

0.889

1.012

0.695

0.869

0.734

1.131

0.993

0.762

0.814

1.108

0.805

1.223

1.024

0.884

0.799

0.870

0.898

0.621

0.818

1.113

1.286

1.052

0.678

1.162

0.808

1.012

0.859

0.951

1.112

1.003

0.972

Answer 1

One sample t test for population mean

H₀: µ = 0.97 versus H_a: µ > 0.97

Required PhStat output is given as below:

t Test for Hypothesis of the Mean
Data
Null Hypothesis                m=	0.97
Level of Significance	0.05
Sample Size	50
Sample Mean	0.95872
Sample Standard Deviation	0.15596782
Intermediate Calculations
Standard Error of the Mean	0.0221
Degrees of Freedom	49
t Test Statistic	-0.5114
Upper-Tail Test
Upper Critical Value	1.6766
p-Value	0.6943
Do not reject the null hypothesis

There is not sufficient evidence that the population mean upload speed is more than 0.97.