Question

In: Math

suppose a woman wants to estimate her exact day of ovulation for contraceptive purposes. A theory...

suppose a woman wants to estimate her exact day of ovulation for contraceptive purposes. A theory exists that at the time of ovulation the body temperature rises 0.5 to 1.0 degrees F thus, changes in body temperature can be used to goes the day of ovulation.

suppose that for this purpose a woman measures her body temperature on awakening on the first 10 days after menstruation and obtains the following data: 95.8, 96.5, 97.4, 97.4, 97.3, 96.0, 97.1, 97.3, 96.2, 97.3.

A. what is the best point estimate of her underlying basal body temperature (population mean)

b. how precise is this estimate (calculate the standard error of the estimate)?

c. compute a 95% confidence interval for the underlying mean basal body temperature using the data. assume that her underlying mean basal body temperature has a normal distribution

Solutions

Expert Solution

(a)

From the given data, the following statistics are calculated:

n = 10

= 96.83

s = 0.6360

The best point estimate of her underlying basal body temperature (population mean) = = 96.83

(b)

How precise is this estimate (The standard error of the estimate) =s/

                                                                                             = 0.6360/

                                                                                             = 0.2011

(c)

= 0.05

ndf = n - 1 = 10 - 1 = 9

From Table, critical values of t = 2.2622

Confidence Interval:

96.83 (2.2622 X 0.2011)

= 96.83 0.4550

= (96.3750 ,97.2850)

Confidence Interval:

96.3750 < < 97.2850

milcah answered 2 months ago
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