Weights, in pounds, of ten-year-old girls are collected from a neighborhood. a sample of 26 is given below. assuming normality, use excel to find the 98% confidence interval for the population mean weight μ. round your answers to three decimal places and use increasing order.
66.4
86.3
71.3
52.8
68.0
85.0
66.2
79.2
93.5
84.5
71.1
74.5
65.0
58.5
59.8
80.2
69.2
92.9
78.9
59.4
63.6
66.5
60.7
80.1
60.4
74.5

The 98% confidence interval for the sample mean is (66.763, 76.969).

Step-by-step explanation:

The main difficulty of this problem is to write all the data into an Excel sheet. Once we have done this part the problem is not difficult. Here we are assuming that we do not know the standard deviation. Also, we need to remark that the data has been written from the cell A1 to the cell A26.

First step: Let us calculate the mean of the sample. This can be done using an Excel function: AVERAGE. If we want to write the mean in the cell B1, we mark the cell and then write =AVERAGE(A1:A26). Notice that the arguments of the function is the first and the last cell of our data. With this we get that μ = 71.86538462 , and rounding μ = 71.866.

Second step: Now we need to calculate the standard deviation of the sample, because we do not know the theoretical standard deviation. This can be done using an Excel function: STDEV. If we want to write the mean in the cell B2, we mark the cell and then write =STDEV(A1:A26).  Notice that the arguments of the function is the first and the last cell of our data. With this we get that σ = 11.0160226 and rounding σ = 11.016.

Third step: We are going to calculate the confidence. This can be done using an Excel function: CONFIDENCE. If we want to write the mean in the cell B3, we mark the cell and then write =CONFIDENCE(0.02;11.016;26). Let us explain what are the arguments of the function CONFIDENCE:

With this we get that the confidence is  ε=5,10298125 , and rounding is ε=5,103.

Fourth step: Finally we are going to find the confidence interval. Here we are going to use the results of the first and third step. The confidence interval is obtained by the formula (μ - ε, μ + ε). Then,

(μ - ε, μ + ε) = (71.866 - 5,103, 71.866 + 5,103) = (66.763, 76.969)

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12