We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:

Null hypothesis: $\mu =45$

Alternative hypothesis: $\mu \neq 45$

Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=48$ represent the sample mean

$s=10$ represent the sample standard deviation

$n$ sample size

$\mu_o =45$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:

Null hypothesis: $\mu =45$

Alternative hypothesis: $\mu \neq 45$

Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.

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3 years ago