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dybincka [34]
3 years ago
12

Can someone check if my answer is correct? Thank you!

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0

Answer:

Step-by-step explanation:

you are correct.

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A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is s
bogdanovich [222]

Answer:

No, the sample evidence is not statistically significant (P-value = 0.125).

To reject the null hypothesis, the P-value has to be smaller than the significance level, so the significance level to reject the null hypothesis has to be 0.125 or higher.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

Then, the null and alternative hypothesis are:

H_0: \mu=131\\\\H_a:\mu\neq 131

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=133.474.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.193.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.193}{\sqrt{50}}=1.583

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{133.474-131}{1.583}=\dfrac{2.474}{1.583}=1.563

The degrees of freedom for this sample size are:

df=n-1=50-1=49

This test is a two-tailed test, with 49 degrees of freedom and t=1.563, so the P-value for this test is calculated as (using a t-table):

P-value=2\cdot P(t>1.563)=0.125

As the P-value (0.125) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

8 0
3 years ago
Round 7.21 divided by 7 to the nearest tenth
tensa zangetsu [6.8K]
1 is the answer.

The exact answer is 1.03, but we have to round it to the nearest tenth which is 0 because 3 is less than 5.
8 0
3 years ago
Find the coordinates of the circumcenter of the triangle below
Lena [83]
(2,2) (6,2) (6,8) Hope this helps I’m pretty sure this is correct :)
6 0
3 years ago
Find the diameter of a cicle with an area of 240.48 π square millimeters?
seropon [69]

31.02 mm.

Step-by-step explanation:

Step 1:

The area of the given circle is 240.48 π sq mm

We need to find the diameter of the circle

Step 2:

The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle

We know that the diameter of  circle is 2 times its radius.

Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2 , we get the diameter.

Step 3 :

Using the above method , we have

πr²  = 240.48 π

=> r² = 240.48 π / π = 240.48

=> r = √240.48 = 15.51 approximately

Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.

6 0
3 years ago
Jane Andre and Maria pick apples Andre pics three times as many pounds as Maria Jane pics to charge as many pounds as Andre the
Marta_Voda [28]
840 ÷ 3 = 280 

Andre picked 280 pounds of apples. 

Hope this helps and have a great day! :D 
7 0
3 years ago
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