If |z| = 1, where z = x + yi ... find the real part of the number 1 / z-1??

We're testing the hypothesis that the average boy walks at 18 months of age (H0: p = 18). We assume that the ages at which boys

marusya05 [52]

Answer:

II. This finding is significant for a two-tailed test at .01.

III. This finding is significant for a one-tailed test at .01.

d. II and III only

Step-by-step explanation:

1) Data given and notation

$\bar X=19.2$ represent the battery life sample mean

$\sigma=2.5$ represent the population standard deviation

$n=25$ sample size

$\mu_o =18$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean battery life is equal to 18 or not for parta I and II:

Null hypothesis: $\mu = 18$

Alternative hypothesis: $\mu \neq 18$

And for part III we have a one tailed test with the following hypothesis:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{19.2-18}{\frac{2.5}{\sqrt{25}}}=2.4$

4) P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=25-1=24$

Since is a two tailed test for parts I and II, the p value would be:

$p_v =2*P(t_{(24)}>2.4)=0.0245$

And for part III since we have a one right tailed test the p value is:

$p_v =P(t_{(24)}>2.4)=0.0122$

5) Conclusion

I. This finding is significant for a two-tailed test at .05.

Since the $p_v$ . We reject the null hypothesis so we don't have a significant result. FALSE

II. This finding is significant for a two-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

III. This finding is significant for a one-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

So then the correct options is:

d. II and III only

6 0

3 years ago

Find the surface area of the triangular prism

melomori [17]

Answer:

608 ft²

Step-by-step explanation:

1) Find the area of the bases

$A=\frac{1}{2} bh$ where b is the base length and h is the height

Plug in b and h

$A=\frac{1}{2} (12)(8)\\A=48$

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

2) Find the area of the two sides facing up

$A=lw$ where l is the length and w is the width

Plug in l and w

$A=10*16\\A=160$

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

3) Find the area of the bottom side

$A=lw$ where l is the length and w is the width

Plug in l and w

$A=12*16\\A=192$

Therefore, the area of this side is 192 ft².

4) Add all the areas together

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

5 0

3 years ago

Read 2 more answers

Can someone please helpp.

nika2105 [10]

1. Over a period of 6 years (from 1980 to 1986) the house gained a value of 12000 dollars (109k-97k). 12000/6 gives you a rate of 2000 dollars per year. Because the initial price at t=0 is 97000, the function is 97000+2000t

6 0

3 years ago

Troy Ulman received his annual savings account statement, showing $78.75 in interest. If his savings account balance was $2,100

Naya [18.7K]

Answer is 3.75%

3.75% = 0.0375

0.0375 + $2,100 = $78.75

4 0

3 years ago

Due tomarrow please help!!!!!!!!!!!!!!!!!!!!!!!!! Identify the independent and dependent variables in the following statement. T

miskamm [114]

The independent variable is the rate that water is flowing into the pool, and the dependent variable is the depth of water in the pool.

I believe this would be the case due to the fact that we are not in control of the flow yet the flow impacts the depth. So flow would be independent while the pool depth would be dependent on the rate of flow.

8 0

4 years ago

If |z| = 1, where z = x + yi ... find the real part of the number 1 / z-1??​

If |z| = 1, where z = x + yi ... find the real part of the number 1 / z-1??