C=5/9 (F - 32), for F

A random sample of n = 40 observations from a quantitative population produced a mean x = 2.2 and a standard deviation s = 0.29.

zmey [24]

Answer:

$t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18$

$df=n-1=40-1=39$

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

$p_v =P(t_{(39)}>2.18)=0.0177$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and then the population mes seems to be higher than 2.1 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=2.2$ represent the sample mean

$s=0.29$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =2.1$ represent the value that we want to test

$\alpha=0.05$ 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 is higher than 2,1, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2.1$

Alternative hypothesis: $\mu > 2.1$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

Calculate the statistic

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

$t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18$

P-value

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

$df=n-1=40-1=39$

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

$p_v =P(t_{(39)}>2.18)=0.0177$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and then the population mes seems to be higher than 2.1 at 5% of significance

7 0

4 years ago

2

nignag [31]

Answer:

1st = 4×10 ^-9

2nd= 4×10^1

3rd = 4×10^7

4th = 4×10^-5

Step-by-step explanation:

for whole numbers you just have to count from the ending till the number indicated beside the x10

for decimals you count from the front starting at the decimal till you cover the whole number

6 0

1 year ago

Determine the slope, if it exists, of the graph of the linear equation y=3.1x-3

Sunny_sXe [5.5K]

Slope = 3.1

This is in y =mx + b

Where m = slope

6 0

3 years ago

Read 2 more answers

Ten pieces of paper numbered consecutively from 1 to 10 are put into a hat. if three pieces of paper are drawn at random from th

DaniilM [7]

There are 5 even numbers from 1 to 10.

The number of ways to draw all even numbers is 5!/(2!*3!) = 10

The number of ways to draw from the hat is 10!/(7!*3!) = 128

Therefore the probability is 10/128 = 5/64 or roughly 7.81%

7 0

3 years ago

The adult height of a male is about 1.19 times his height at age 12. The adult height of a female is about 1.07 times her height

marissa [1.9K]

If you are 12 years old, just measure your own height, then multiply your height by 1.19 if you’re a male, or 1.07 if you’re a female.

6 0

3 years ago

Read 2 more answers

C=5/9 (F - 32), for F​

C=5/9 (F - 32), for F