PRACTICE OF STATS - 1 TERM ACCESS CODE
PRACTICE OF STATS - 1 TERM ACCESS CODE
4th Edition
ISBN: 9781319403348
Author: BALDI
Publisher: Macmillan Higher Education
Question
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Chapter 17, Problem 17.16AYK
To determine

To find:that is there is proof of a bionic pancreas that supports patients reach a lower level of plasma glucose than an insulin pump.

Expert Solution & Answer
Check Mark

Answer to Problem 17.16AYK

Glucose level in insulin pump is greater than in bionic pancreas.

Explanation of Solution

Given:

    SubjectControlBionic
    1220136
    2202142
    3188149
    4189147
    5179140
    6172134
    7164132
    8161139
    9159154
    1095136
    11119152
    12122117
    13133151
    14138119
    15144156
    16157151
    17222138
    18181137
    19169142
    20163125
    21156144
    22153136
    23152156
    24129136
    25138179
    26147139
    27147135
    28141150
    29159134
    30158146
    31151144
    32145139

Formula used:

  x¯=dn

  s=(dx¯)2n1

  t=d¯sn1

Calculation:

    SubjectControlBionicd=Control-Bionicdd¯(dd¯)2
    12201368467.814598.54
    22021426043.811919.54
    31881493922.81520.41
    41891474225.81666.29
    51791403922.81520.41
    61721343821.81475.79
    71641323215.81250.04
    8161139225.8133.79
    91591545-11.19125.16
    1095136-41-57.193270.41
    11119152-33-49.192419.41
    121221175-11.19125.16
    13133151-18-34.191168.79
    14138119192.817.91
    15144156-12-28.19794.54
    161571516-10.19103.79
    172221388467.814598.54
    181811374427.81773.54
    191691422710.81116.91
    201631253821.81475.79
    2115614412-4.1917.54
    22153136170.810.66
    23152156-4-20.19407.54
    24129136-7-23.19537.66
    25138179-41-57.193270.41
    261471398-8.1967.04
    2714713512-4.1917.54
    28141150-9-25.19634.41
    29159134258.8177.66
    3015814612-4.1917.54
    311511447-9.1984.41
    321451396-10.19103.79
    Sum51828200.88

  x¯=dn=51832=16.19s=(dx¯)2n1=28200.88321=30.1613

Null Hypotheses: - glucose level is the equal in both from bionic pancreas and in insulin pump.

  H0:μ1=μ2

Alternative Hypotheses: - glucose level in insulin pump is greater than in bionic pancreas.

  H1:μ1>μ2 (one-tailed)

Level of significance is 0.05

Test statistics

  t=d¯sn1=16.1930.161331=2.99

  t0.05,df=31=1.696

Conclusion Calculated test statistics is greater than critical value, therefore reject the null hypotheses, hence conclude that glucose level in insulin pump is greater than in bionic pancreas.

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