A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the average number of races a horse enters is ¯ x = 15.3 , with a standard deviation of s = 6.8 in a sample of n = 20 horses. A 95% confidence for μ , the average number of times a horse races, is given by___________.

a. (12.32, 18.28).
b. (10.95, 19.65).
c. (12.12, 18.48).
d. (11.38, 19.22).

Question

06-03-2020
Mathematics

contestada

A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the average number of races a horse enters is ¯ x = 15.3 , with a standard deviation of s = 6.8 in a sample of n = 20 horses. A 95% confidence for μ , the average number of times a horse races, is given by___________.

a. (12.32, 18.28).
b. (10.95, 19.65).
c. (12.12, 18.48).
d. (11.38, 19.22).

Respuesta :

Otras preguntas

A simple random sample of 48 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is

In the past, 26% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a

Where was the Holy Roman Empire located? Question 9 options: The Iberian Peninsula Modern-day Turkey Southern Italy Central Europe

I paid twice as much by not waiting for a sale and not ordering on line. Which ofthe following statements is also true? (a) I paid 200% more than I could have o

Find the range of all the multiples of 3 between 10 and 20

please help me asap..

Left-sided heart failure is characterized by

An electrician earns $50 per hour, and expects to earn $5 additional per hour as each year passes. Find the electrician’s hourly wage after 8 years have elapsed

The statement “force equals mass times acceleration (F=ma)” is Newton’s second law of motion. Why is this a law rather than a theory?A-It states, rather than ex

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (7,-7) and perpendicular to the line whose equa

cchilabert cchilabert · Answer 1 · 2020-03-09T01:42:05+01:00

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± [tex]t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }[/tex]

[tex]t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093[/tex]

[15.3 ± 2.093 * [tex]\frac{6.8}{\sqrt{20} }[/tex]]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!