Step-by-step explanation:
a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:
Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries
Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
b.
Because we know the population standard deviation, we can use a z test
Plugging in the values:
Expected population mean: 24.57
Sample average: 23.89
Sample size: 30
Population standard deviation: 2.4, we get 0.1207 as our p-value.
c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)
d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis
<h2>Writing an Exponential Function given the Table</h2><h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Given:
The most basic form to write an exponential function is . Where is when . We can see from the given Table of Values that at , . So, . The is the common ratio and can be calculated by , where is when .
Solving for the Common Ratio:
Now we know what and are. We can finally write the equation of the exponential function depicted by the table.
The equation is
The statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value. That is option D.
<h3>Comparison of table function and graph</h3>
From the graph, the maximum value is =0.5 while the minimum value cannot be determined.
From the table the maximum value is -3 while the minimum value is -24.
Therefore, the statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value.
Learn more about graph here:
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