Mathematics, 16.07.2021 06:40 terrenevans4156

A yoga instructor wanted to construct a 95% confidence interval for the average age of students in her yoga class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years. What is the 95% confidence interval for the population mean

Answers: 2

Show answers

Answers

Answer from: victoriabrooks5766

The 95% confidence interval for the population mean is between 17.9 and 20.3 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.306

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}} = 1.2$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 19.1 - 1.2 = 17.9 years.

The upper end of the interval is the sample mean added to M. So it is 19.1 + 1.2 = 20.3 years.

The 95% confidence interval for the population mean is between 17.9 and 20.3 years.

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

Ugucycucucuvuvjvxyxtxu

Another question on Mathematics

Mathematics, 21.06.2019 14:50

Statement: if two points are given, then exactly one line can be drawn through those two points. which geometry term does the statement represent? defined term postulate theorem undefined term

Answers: 1

Answer

Mathematics, 21.06.2019 18:10

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

Which equation represents the model shown? a)1/3 divide 1/6 = 2 b)2/3 divide 1/6 = 2/18 c)1/3 divide 1/6 = 1/18 d)2/3 divide 1/6 =4

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

What is the average diastolic blood pressure for adults

Answers: 2

Answer

You know the right answer?

A yoga instructor wanted to construct a 95% confidence interval for the average age of students in h...