The US Department of Agriculture reports that the mean cost of raising a child from birth to age 2 in a rural area is $10,460. A team of economists believes this value is incorrect, so they select a random sample of 900 children (age 2) and find that the sample mean cost is $10,345 with a sample standard deviation of $1540. Is this significantly different than the US Department of Agriculture reports

The degrees of freedom are given by:

The p value for this case would be given by:

The p value is low and if we use a significance level of 0.05 we can reject the null hypothesis and we can conclude tha the true mean is different from 10460

Step-by-step explanation:

Information given

represent the mean height for the sample  

represent the sample standard deviation for the sample  

sample size  

represent the value to verify

t would represent the statistic

represent the p value for the test

Hypothesis to test

We want to verify if the true mean is equal to 10460, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

 (1)  

Replacing the info given we got:

The degrees of freedom are given by:

The p value for this case would be given by:

The p value is low and if we use a significance level of 0.05 we can reject the null hypothesis and we can conclude tha the true mean is different from 10460

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation:

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step-by-step explanation: