Answer:
Step-by-step explanation:
There are two answers:
2y+2y=4y
Y+y+y+y=4y
Let one number be x.
Let the other number be y.
x + y = 49
x - y = 7
Subtracting both equations,
2y = 49 - 7 = 42
--- y = 21
--- x = 21 + 7 = 28
Hence the two numbers are 21 and 28.
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
From the given, there are 14 yellow marbles. 154 are of different colors other and are not yellow. When we speak of "odds in favor", we divide the number of ways a certain event can occur by the number of ways it cannot occur. Mathematically, this can be,
odds = 14 / 154
Simplifying,
odds = 2/11
The answer to this item is first choice.