Question

Please Do Carefully please

A slower walking speed is a sign of deteriorating health in older patients, but there is little data about walking speed in middle age. A 2019 study from New Zealand recorded the natural walking speed of a random sample of 904 forty-five-year-old individuals, reporting a mean walking speed of 1.30 meters per second (m/s) with a standard deviation of 0.17 m/s.

Obtain a 95% confidence interval for the parameter of interest.

1.

Which math symbol represents this parameter?

a.)μdiff

b.)t

c.)p

d.)x¯1−x¯2

e.)C

f.)z

g.)x¯diff

h.)x¯

i.)m

j.)μ1−μ2

k.)μ

l.)σ

m.)n

n.)

2.

A confidence interval can be expressed in this form: (lower bound, upper bound). Give the numerical value of the lower bound for this confidence interval.

(Round your answer to 2 decimal places, for ex. 1.11. Do NOT include any text as Canvas cannot handle text with numerical values.)

3.

A confidence interval can be expressed in this form: (lower bound, upper bound). Give the numerical value of the upper bound for this confidence interval.

(Round your answer to 2 decimal places, for ex. 1.11. Do NOT include any text as Canvas cannot handle text with numerical values.)

4.

Assuming that the conditions for inference are met, interpret your confidence interval in a sentence in context.

[This essay question will be graded manually later.]

5.

What are the conditions for this inference procedure?

a.)Independent random samples AND normal data AND large enough total sample size AND similar sample standard deviations.

b.)Independent random samples AND normal data or large enough total sample size AND similar sample standard deviations.

c.)Independent random samples AND normal data or large enough total sample size.

d.)One random sample AND normal data or large enough sample size.

e.)One random sample AND normal data AND large enough sample size.

f.)Independent random samples AND normal data AND large enough total sample size.

6.

The conditions for this inference procedure

a.)are all met.

b.)are not met at all.

c.)are not completely met (one condition or more isn't met).

d.)may be barely met (at the limit of the robustness of this procedure)

Answer 1

To calculate the confidence intervel we will use z distribution.