The following table contains information on matched sample
values whose differences are normally distributed. (You may
find it useful to reference the appropriate table: z table
or t table)
Number | Sample 1 | Sample 2 |
1 | 17 | 20 |
2 | 12 | 12 |
3 | 21 | 22 |
4 | 21 | 20 |
5 | 16 | 21 |
6 | 14 | 16 |
7 | 17 | 18 |
8 | 17 | 20 |
a. Construct the 90% confidence interval for the mean
difference μD. (Negative values should
be indicated by a minus sign. Round intermediate calculations to at
least 4 decimal places and final answers to 2 decimal
places.)
The following table is obtained:
Sample 1 | Sample 2 | Difference = Sample 1 - Sample 2 | |
17 | 20 | -3 | |
12 | 12 | 0 | |
21 | 22 | -1 | |
21 | 20 | 1 | |
16 | 21 | -5 | |
14 | 16 | -2 | |
17 | 18 | -1 | |
17 | 20 | -3 | |
Average | 16.875 | 18.625 | -1.75 |
St. Dev. | 3.091 | 3.249 | 1.909 |
n | 8 | 8 | 8 |
and the sample size is n = 8. For the score differences, we have
We need to construct the 90% confidence interval for the population mean μ. The following information is provided:
Sample Mean | -1.75 |
Sample Standard Deviation | 1.909 |
Sample Size | 8 |
The critical value for α = 0.1 and df = n-1 = 7 degrees of freedom is = 1.895. The corresponding confidence interval is computed as shown below:
CI = (-3.029, -0.471)
Therefore, based on the data provided, the 90% confidence interval for the population mean is -3.029 < μ < −0.471, which indicates that we are 90% confident that the true population mean μ is contained by the interval (-3.029, -0.471)
The following table contains information on matched sample values whose differences are normally distributed. (You may...
The following table contains information on matched sample values whose differences are normally distributed. (You may find it useful to reference the appropriate table: z table or t table) Number Sample 1 Sample 2 1 18 22 2 13 11 3 22 23 4 23 20 5 17 21 6 14 16 7 18 18 8 19 20 Construct the 99% confidence interval for the mean difference μD. (Negative values should be indicated by a minus sign. Round intermediate calculations...
The following table contains information on matched sample values whose differences are normally distributed. (You may find it useful to reference the appropriate table: z table or t table) NumberSample 1Sample 21162021213320224202251720614167161881821 a. Construct the 99% confidence interval for the mean difference μD. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
The following table contains information on matched sample values whose differences are normally distributed. (You may find it useful to reference the appropriate table: z table or t table) Number Sample 1 16 Sample 2 21 10 12 WN 00 O a. Construct the 90% confidence interval for the mean difference up. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is...
The following table contains information on matched sample values whose differences are normally distributed. Use Table 2. Number Sample 1 Sample 2 1 16 20 2 12 13 3 20 22 4 20 22 5 17 20 6 14 16 7 16 18 8 18 21 a. Construct the 99% confidence interval for the mean difference μD. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at...
The following table contains information on matched sample values whose differences are normally distributed. Number - Sample 1 - Sample 2 1 17 21 2 12 13 3 21 22 4 23 19 5 19 19 6 13 17 7 19 16 8 17 21 a. Construct the 95% confidence interval for the mean difference μD.
Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table) H0: μD ≥ 0; HA: μD < 0 d¯d¯ = −3.5, sD = 5.5, n = 21 The following results are obtained using matched samples from two normally distributed populations: a-1. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x−1x−1 = 32.7 x−2x−2 = 25.4 σ12 = 95.5 σ22 = 91.0 n1 = 16 n2 = 21 a. Construct the 90% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table 31.6x2 26.8 σ12-91.9 σ22-90.0 120 2-26 a. Construct the 99% confidence interval for the difference between the population means Negative values should be indicated b, a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is to
Return to question Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) X1 = 30.5 012 = 96.3 ni = 27. x2 = 24.7 022 = 93.1 n2 = 26 a. Construct the 95% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final...
Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table) Hypotheses: H0: μD ≤ 2; HA: μD > 2 Sample results: d−d− = 5.6, sD = 6.2, n = 10 The following results are obtained using matched samples from two normally distributed populations: a. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Round all intermediate calculations to at least 4 decimal places and...