Question

In: Math

Nine people weight and height. Weight &

Nine people weight and height.

Weight Height

140	68 inches
145	67 inches
125	64inches
130	69inches
165	73 inches
156	71 inches
116	65inches
119 179	63inches 72inches

You will be applying what you have learned in this course by gathering data and running a statistical analysis.

To study the relationship between height and the weight of people you know, you need to collect a sample of nine (9) people using a systematic sampling method.

Where and how are you going to collect your sample?

Collect the sample and record the data.

Construct a confidence interval to estimate the mean height and the mean weight. (CLO 1)

Find the sample mean and the sample standard deviation of the height.

Find the sample mean and the sample standard deviation of the weight.

Construct a confidence interval to estimate the mean height.

Construct a confidence interval to estimate the mean weight.

Test a claim that the mean height of the people is not equal to 64 inches using the p-value method or the traditional method. (CLO 2)

State H0 and H1.

Find the p-value or critical value(s).

Draw a conclusion.

Find the correlation coefficient between the height and the weight.

Construct the equation of the regression line and use it to predict the weight of a person who is 68 inches tall. (CLO 3)

Write one to two paragraphs about what you have learned from this process.

When you read, see, or hear a statistic in the future, what skills will you apply to know whether you can trust the result?

Expert Solution

a) SAMPLE MEAN AND SAMPLE STANDARD DEVIATION FOR WEIGHT IS 141.67 POUND AND 21.63 POUND RESPECTIVELY.

b) SAMPLE MEAN AND SAMPLE STANDARD DEVIATION FOR HEIGHT IS 68 INCHES AND 3.57 INCHES

RESPECTIVELY.

c) 95% confidence interval to estimate the mean weight:

M = 141.67
t critical = 2.31
sM = √(21.63^2/9) = 7.21

μ = M ± t(sM)
μ = 141.67 ± 2.31*7.21
μ = 141.67 ± 16.6263
95% CI [125.0437, 158.2963].

You can be 95% confident that the population mean (μ) falls between 125.0437 and 158.2963.

d) 95% confidence interval to estimate the mean height:

M = 68
t critical = 2.31
s_M = √(3.57²/9) = 1.19
μ = M ± t(s_M)
μ = 68 ± 2.31*1.19
μ = 68 ± 2.74

95% CI [65.26, 70.74].

You can be 95% confident that the population mean (μ) falls between 65.26 and 70.74 inches

NOTE: As per the guidelines I have done the first four please re post the rest. Thank you.

milcah answered 2 months ago

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