(a) Perform a hypothesis test to assess whether there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. (Use Lighter - Heavier. Use a = 0.05.) State the null and alternative hypotheses (in g/cm2). (Enter != for # as needed.) μ₁=0 M₁!=0 Ho: H₁: X Find the test statistic. (Round your answer to two decimal places.) 0.17 X Use technology to find the p-value. (Round your answer to four decimal places.) p-value = 0.8659 State your conclusion. Reject Ho. There is sufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. H₁: Fail to reject Ho. There is insufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. Fail to reject Ho. There is sufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. Reject Ho. There is insufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. (b) Perform a hypothesis test to assess whether there are significant differences in mean BMD for the femoral shaft between the heavier- and lighter-smoking twins. (Use Lighter - Heavier. Use a = 0.05.) State the null and alternative hypotheses (in g/cm2). (Enter != for # as needed.) Ho: M₁=0 M₁!=0 X

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Please answer (a) and (b)

 

ID Age fn1 fn2 fndiff fs1 fs2 fsdiff
1002501 27 0.73 0.68 0.05 0.99 1.04 -0.05
1015401 42 0.75 0.64 0.11 0.98 1.11 -0.13
1027601 59 0.64 0.64 0 1.06 0.86 0.2
1034301 61 0.65 0.69 -0.04 1.11 1.03 0.08
1121202 47 0.71 0.54 0.17 1.13 0.96 0.17
1162502 33 0.57 0.5 0.07 1.14 1.06 0.08
1188701 45 0.84 0.78 0.06 1.15 1.23 -0.08
1248202 73 0.57 0.49 0.08 1.06 1.04 0.02
1268301 43 0.66 0.77 -0.11 1.06 1.15 -0.09
1269402 43 0.89 0.87 0.02 1.31 1.24 0.07
1273101 47 0.71 0.74 -0.03 1.25 1.21 0.04
1323501 47 0.86 0.76 0.1 1.22 1.09 0.13
1337102 72 0.54 0.56 -0.02 0.92 1.01 -0.09
1467301 58 0.67 0.64 0.03 1.17 1.04 0.13
1479401 36 0.63 0.61 0.02 1.08 1.2 -0.12
1494101 47 0.6 0.66 -0.06 1.1 0.99 0.11
1497701 53 0.83 0.88 -0.05 1.14 1.18 -0.04
1505502 49 0.65 0.63 0.02 1.02 1.15 -0.13
1519402 52 0.67 0.71 -0.04 0.97 1.01 -0.04
1521701 44 0.65 0.61 0.04 1.11 0.96 0.15
1528201 55 0.58 0.65 -0.07 1.15 1.15 0
1536201 44 0.77 0.63 0.14 1.03 1.12 -0.09
1536701 34 0.62 0.81 -0.19 1.24 1.33 -0.09
1541902 37 0.81 0.67 0.14 1.25 1.08 0.17
1543602 34 0.66 0.76 -0.1 1 1.06 -0.06
1596702 46 0.7 0.71 -0.01 1.13 1.06 0.07
1597002 49 0.75 0.74 0.01 1.13 1.1 0.03
1597601 36 0.61 0.85 -0.24 1.11 1.16 -0.05
1607901 62 0.5 0.48 0.02 1.16 0.73 0.43
1608801 76 0.55 0.38 0.17 0.8 0.64 0.16
1628601 53 0.7 0.67 0.03 1.1 1.08 0.02
1635901 42 0.72 0.83 -0.11 1.15 1.24 -0.09
1637901 47 0.66 0.63 0.03 1.23 1.12 0.11
1640701 44 0.61 0.54 0.07 1.04 0.97 0.07
1643602 71 0.46 0.54 -0.08 0.88 0.86 0.02
1647502 72 0.43 0.46 -0.03 0.71 0.66 0.05
1648701 40 0.68 0.64 0.04 1.1 1.21 -0.11
1657301 49 0.66 0.62 0.04 1.43 1.22 0.21
1671001 45 0.58 0.71 -0.13 1.07 1.03 0.04
1672702 41 0.66 0.79 -0.13 1.07 1.02 0.05
2609801 48 0.8 0.72 0.08 1.24 1.31 -0.07
Perform a hypothesis test to assess whether there are significant differences in mean BMD for the femoral neck
between the heavier- and lighter-smoking twins. (Use Lighter Heavier. Use α = 0.05.)
State the null and alternative hypotheses (in g/cm²). (Enter != for as needed.)
Ho:
M₁=0
H₁:
M₁!=0
X
Find the test statistic. (Round your answer to two decimal places.)
0.17
X
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value = 0.8659
State your conclusion.
Reject Ho. There is sufficient evidence to conclude that there are significant differences in mean BMD for the
femoral neck between the heavier- and lighter-smoking twins.
Ho:
Fail to reject Ho. There is insufficient evidence to conclude that there are significant differences in mean BMD
for the femoral neck between the heavier- and lighter-smoking twins.
H₁:
Fail to reject Ho. There is sufficient evidence to conclude that there are significant differences in mean BMD
for the femoral neck between the heavier- and lighter-smoking twins.
Reject Ho. There is insufficient evidence to conclude that there are significant differences in mean BMD for
the femoral neck between the heavier- and lighter-smoking twins.
(b) Perform a hypothesis test to assess whether there are significant differences in mean BMD for the femoral shaft
between the heavier- and lighter-smoking twins. (Use Lighter Heavier. Use α = 0.05.)
State the null and alternative hypotheses (in g/cm²). (Enter != for as needed.)
μ₁=0
M₁!= 0
X
X
Transcribed Image Text:Perform a hypothesis test to assess whether there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. (Use Lighter Heavier. Use α = 0.05.) State the null and alternative hypotheses (in g/cm²). (Enter != for as needed.) Ho: M₁=0 H₁: M₁!=0 X Find the test statistic. (Round your answer to two decimal places.) 0.17 X Use technology to find the p-value. (Round your answer to four decimal places.) p-value = 0.8659 State your conclusion. Reject Ho. There is sufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. Ho: Fail to reject Ho. There is insufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. H₁: Fail to reject Ho. There is sufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. Reject Ho. There is insufficient evidence to conclude that there are significant differences in mean BMD for the femoral neck between the heavier- and lighter-smoking twins. (b) Perform a hypothesis test to assess whether there are significant differences in mean BMD for the femoral shaft between the heavier- and lighter-smoking twins. (Use Lighter Heavier. Use α = 0.05.) State the null and alternative hypotheses (in g/cm²). (Enter != for as needed.) μ₁=0 M₁!= 0 X X
Expert Solution
Step 1

Given:

ID Age fn1 fn2 fndiff fs1 fs2 fsdiff
1002501 27 0.73 0.68 0.05 0.99 1.04 -0.05
1015401 42 0.75 0.64 0.11 0.98 1.11 -0.13
1027601 59 0.64 0.64 0 1.06 0.86 0.2
1034301 61 0.65 0.69 -0.04 1.11 1.03 0.08
1121202 47 0.71 0.54 0.17 1.13 0.96 0.17
1162502 33 0.57 0.5 0.07 1.14 1.06 0.08
1188701 45 0.84 0.78 0.06 1.15 1.23 -0.08
1248202 73 0.57 0.49 0.08 1.06 1.04 0.02
1268301 43 0.66 0.77 -0.11 1.06 1.15 -0.09
1269402 43 0.89 0.87 0.02 1.31 1.24 0.07
1273101 47 0.71 0.74 -0.03 1.25 1.21 0.04
1323501 47 0.86 0.76 0.1 1.22 1.09 0.13
1337102 72 0.54 0.56 -0.02 0.92 1.01 -0.09
1467301 58 0.67 0.64 0.03 1.17 1.04 0.13
1479401 36 0.63 0.61 0.02 1.08 1.2 -0.12
1494101 47 0.6 0.66 -0.06 1.1 0.99 0.11
1497701 53 0.83 0.88 -0.05 1.14 1.18 -0.04
1505502 49 0.65 0.63 0.02 1.02 1.15 -0.13
1519402 52 0.67 0.71 -0.04 0.97 1.01 -0.04
1521701 44 0.65 0.61 0.04 1.11 0.96 0.15
1528201 55 0.58 0.65 -0.07 1.15 1.15 0
1536201 44 0.77 0.63 0.14 1.03 1.12 -0.09
1536701 34 0.62 0.81 -0.19 1.24 1.33 -0.09
1541902 37 0.81 0.67 0.14 1.25 1.08 0.17
1543602 34 0.66 0.76 -0.1 1 1.06 -0.06
1596702 46 0.7 0.71 -0.01 1.13 1.06 0.07
1597002 49 0.75 0.74 0.01 1.13 1.1 0.03
1597601 36 0.61 0.85 -0.24 1.11 1.16 -0.05
1607901 62 0.5 0.48 0.02 1.16 0.73 0.43
1608801 76 0.55 0.38 0.17 0.8 0.64 0.16
1628601 53 0.7 0.67 0.03 1.1 1.08 0.02
1635901 42 0.72 0.83 -0.11 1.15 1.24 -0.09
1637901 47 0.66 0.63 0.03 1.23 1.12 0.11
1640701 44 0.61 0.54 0.07 1.04 0.97 0.07
1643602 71 0.46 0.54 -0.08 0.88 0.86 0.02
1647502 72 0.43 0.46 -0.03 0.71 0.66 0.05
1648701 40 0.68 0.64 0.04 1.1 1.21 -0.11
1657301 49 0.66 0.62 0.04 1.43 1.22 0.21
1671001 45 0.58 0.71 -0.13 1.07 1.03 0.04
1672702 41 0.66 0.79 -0.13 1.07 1.02 0.05
2609801 48 0.8 0.72 0.08 1.24 1.31 -0.07

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