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Fernanda runs a large bowling league. She suspects that the league average score is greater than 150 per
game. She takes a random sample of 36 game scores from the league data. The scores in the sample have a
mean of 156 and a standard deviation of 30.
Fernanda wants to use these sample data to conduct at test on the mean. Assume that all conditions for
inference have been met.
Calculate the test statistic for Fernanda's test.
You may round your answer to two decimal places.

Respuesta :

opudodennis

Answer:

1.20

Step-by-step explanation:

Let mean be represented by M and standard deviation by d. The score will be x and sample number of games be n

To get the test statistic, t for Fernanda's test, we use the formula

[tex]t=\frac {M-x}{\frac{s}{\sqrt n}}[/tex]

Substituting 156 for mean, M then 150 for score x and 30 for standard deviation while 36 for n then

[tex]t=\frac {156-150}{\frac{30}{\sqrt 36}}[/tex]

t=1.20 when put in two decimal place

The test statistic for Fernanda's test is 1.20.

Calculation of the test statistic;

Since She suspects that the league average score is greater than 150 per

game. She takes a random sample of 36 game scores from the league data. The scores in the sample have a mean of 156 and a standard deviation of 30.

So here the test statistic should be

[tex]= 156 - 150\div 30\div \sqrt{36}[/tex]

= 1.20

Hence, The test statistic for Fernanda's test is 1.20.

Learn more about mean here: https://brainly.com/question/24611011

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