Hi,

Here are the solutions:

Estimate pooling sample variances: 401.6

Estimate based on variance of sample means: 1372.0


Thanks,

Ryan

Hi,

The p-value is 0.032

Conclusion: No


Thanks,

Ryan

Hi,

Here are the solutions:

Degrees of freedom (from the top, going down the column)

2

284

287


Mean Squares (from the top, going down the column)

615.4

395.4


F statistic: 1.56


Critical value: 2.10


Conclusion: No


Thanks,

Ryan

Hi,

That was a typo. It should have been 3.

Ryan

Hi,

The expected frequencies are: 145, 145

The values for (fo - fe)²/fe are: 0.834, 2.76

Type of test statistic: Chi-square

Degrees of freedom: 3

Value of the test statistic: 13.56

p-value: 0.004

Conclusion: Yes


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: p1 ≥ p2

Alternative hypothesis: H1: p1 < p2

(Be sure to use the subscript tool to enter the "1" and "2" as subscripts in the two hypotheses)

Type of statistic: z-statistic

Value of the test statistic: -2.156

p-value: 0.016

Conclusion: Yes


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: µ1 = µ2

Alternative hypothesis: H1: µ1 ≠ µ2

Type of test statistic: t-statistic

Degrees of freedom: 24

Value of test statistic: -0.065

Critical values: -2.064, 2.064

Conclusion: No


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: µ1 = µ2

Alternative hypothesis: H1: µ1 ≠ µ2

Type of test statistic: z-statistic

Value of test statistic: 2.906

p-value: 0.004

Conclusion: Yes


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: p ≤ 0.25

Alternative hypothesis: H1: p > 0.25

Type of test statistic: z-statistic

Value of test statistic: 0.949

p-value: 0.171

Conclusion: No


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: µ ≤ 115

Alternative hypothesis: H1: µ > 115

Type of test statistic: t-statistic

Degrees of freedom: 13

Value of test statistic: 2.395

p-value: 0.016

Conclusion: Yes


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: µ = 48

Alternative hypothesis: H1: µ ≠ 48

Type of test statistic: z-statistic

Value of test statistic: -2.905

Critical values: -2.576, 2.576

Conclusion: Yes


Thanks,

Ryan

Hi,

I'm sorry for the delay. I had to step away from the computer for a few minutes.

The null hypothesis is H0: µ is greater than or equal to 2800

The alternative hypothesis is H1: is less than 2800

A Type II error is failing to reject the hypothesis that µ is greater than or equal to 2800 when, in fact, µ is less than 2800.

Suppose the group decides to reject the null hypothesis. What sort of error might it be making? Type I


Thanks,

Ryan

Hi,

Thank you for your patience and understanding.

Here are the solutions for #12:

H0: p = 0.66

H1: p ≠ 0.66


Thanks,

Ryan

Hi,

The null hypothesis is H0: β1 = β2 = 0

Type of test statistic: F-statistic

Degrees of freedom in numerator: 2

Degrees of freedom in denominator: 22

Test value: 3.710

p-value: 0.041

Conclusion: Yes


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: β3 = 0

Alternative hypothesis: H1: β3 ≠ 0

Type of test statistic: t-statistic

Degrees of freedom: 14

Value of the test statistic: 1.44

Critical values: -1.76, 1.76

Conclusion: No


Thanks,

Ryan

Hi,

Here are the solutions:

Null hypothesis: H0: ρ = 0

Alternative hypothesis: H1: ρ ≠ 0

Type of test statistic: t-statistic

Value of the test statistic: 3.113

Critical values: -2.262, 2.262

Conclusion: Yes


Thanks,

Ryan

Hi,

Degrees of freedom is 9.

Ryan

Hi,

Great, thanks.

Here are the solutions:

1. 6.19

2. total sum of squares, 1389.7720

3. 0.95

4. error sum of squares, 72.4630


Thanks,

Ryan

Hi,

Here are the solutions:

1. Slope of the regression line: -11.35

2. y-intercept of the regression line: 2555.36


Thanks,

Ryan

Hi,

Here are the solutions:

1) greater than

2) 0.0014

3) 3.06

4) 3.16


Thanks,

Ryan

Hi,

Ok, great.

Here are the solutions:

1. None

2. None

3. Figure 2

4. Figure 3


Thanks,

Ryan

Hi,

The scatter plot with the regression line looks like this:



I'm not sure what options are available to for drawing the line, but here are two points that you can plot, just in case it allows for direct entry of coordinates:

(2, 3.48)

(10, 8.57)


Thanks,

Ryan

Hi,

The solution for #21 is 59.58

Thanks,

Ryan

Hi,

The solution for #22 is 681.60

Thanks,

Ryan

Hi,

The first one (line 7) is 194.37

The second one (line 9) is 196.33


Thanks,

Ryan

Hi,

The index for January is 0.862


Thanks,

Ryan