There is a monthly fee of $35.00 at your fitness center you have spent $700.00 in fees

romanna [79]

-7/4+2y+1/4x is the answer

5 0

3 years ago

Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunne

Pavlova-9 [17]

Answer:

$t=\frac{2.35-1.83}{\sqrt{\frac{0.88^2}{10}+\frac{0.54^2}{7}}}}=1.507$

$p_v =P(t_{(15)}>1.507)=0.076$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the group CTS, NOT have a significant higher mean compared to the Normal group at 1% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X_{CTS}=2.35$ represent the mean for the sample CTS

$\bar X_{N}=1.83$ represent the mean for the sample Normal

$s_{CTS}=0.88$ represent the sample standard deviation for the sample of CTS

$s_{N}=0.54$ represent the sample standard deviation for the sample of Normal

$n_{CTS}=10$ sample size selected for the CTS

$n_{N}=7$ sample size selected for the Normal

$\alpha=0.01$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for the group CTS is higher than the mean for the Normal, the system of hypothesis would be:

Null hypothesis: $\mu_{CTS} \leq \mu_{N}$

Alternative hypothesis: $\mu_{CTS} > \mu_{N}$

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{CTS}-\bar X_{N}}{\sqrt{\frac{s^2_{CTS}}{n_{CTS}}+\frac{s^2_{N}}{n_{N}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

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

$t=\frac{2.35-1.83}{\sqrt{\frac{0.88^2}{10}+\frac{0.54^2}{7}}}}=1.507$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n_{CTS}+n_{N}-2=10+7-2=15$

Since is a one side right tailed test the p value would be:

$p_v =P(t_{(15)}>1.507)=0.076$

We can use the following excel code to calculate the p value in Excel:"=1-T.DIST(1.507,15,TRUE)"

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the group CTS, NOT have a significant higher mean compared to the Normal group at 1% of significance.

6 0

4 years ago

Find the least number which must be added to 6203 to obtain a perfect square.

andrey2020 [161]

Answer:

79

Step-by-step explanation:

78

---------

7 | 62 03

49

----------

148 | 13 03

11 84

-----------

19

-----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

= 79 * 79

= 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

5 0

3 years ago

Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principle amount, with

DedPeter [7]

Answer:

Harrison earns: $208.14

Sherrie earns: $216.57

Step-by-step explanation:

Sherrie earns more money than Harrison in 2 years.

5 0

3 years ago

Twenty seven pears are packed in bags of three. Five bags of pears are sold. How many pears are left

aliya0001 [1]

Answer:

$Pears\ Left = 12$

Step-by-step explanation:

Given

$Pears = 27$

$Bags\ Sold = 5$

Required

Determine the number of bags sold

First, we need to determine the number of bags for 27 pears;

Since they are packed in 3s

$Bags = 27/3$

$Bags = 9$

Hence:

9 bags were used for 27 pears;

After 5 bags were sold, we have:

$Bags\ Left = 9 - 5$

$Bags\ Left = 4$

Recall that the pears are packed in 3s

So:

$Pears\ Left = 4 * 3$

$Pears\ Left = 12$

4 0

3 years ago