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7nadin3 [17]
3 years ago
8

9x - 5 - 3x - 3 = 2x - 12

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0
9x-3x-5-3=2x-12
12x -8 =2x-12
-2x. -2x
10x. -8. =-12
+8. +8
10x. = -4
X = -0.4
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Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

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The upper limit on the confidence interval is -$299.13.

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The sample data is:

Gender   Mean          Std. dev.     n

Female    2577.75      1916.29     67

Male        3809.42     2379.47     33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

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The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795

The t-value for a 95% confidence interval is t=1.96.

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MOE=t\cdot s_M=1.96 \cdot 475.795=932.54

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The 95% confidence interval for the difference between means is (-2164.21, -299.13).

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