Someone help meee pleaseee

Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expendi

cupoosta [38]

Answer:

a) Null hypothesis: $\mu_d= 0$

Alternative hypothesis: $\mu_d \neq 0$

b) $t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{850 -0}{\frac{1123}{\sqrt{42}}}=4.905$

The next step is calculate the degrees of freedom given by:

$df=n-1=42-1=41$

Now we can calculate the p value, since we have a left tailed test the p value is given by:

$p_v =2*P(t_{(41)}>4.905) =0.000015$

So the p value is lower than any significance level given, so then we can conclude that we can reject the null hypothesis that the difference between he two groups are equal.

Step-by-step explanation:

Assuming the following questions:

We assume the following data: $n = 42 ,\bar d= 850 , s_d = 1123$

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

The system of hypothesis for this case are:

Null hypothesis: $\mu_2- \mu_1 = 0$

Alternative hypothesis: $\mu_2 -\mu_1 \neq 0$

Or equivalently

Null hypothesis: $\mu_d= 0$

Alternative hypothesis: $\mu_d \neq 0$

b. Use a .05 level of significance. Can you conclude that the population means differ? What is the p-value?

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{850 -0}{\frac{1123}{\sqrt{42}}}=4.905$

The next step is calculate the degrees of freedom given by:

$df=n-1=42-1=41$

Now we can calculate the p value, since we have a left tailed test the p value is given by:

$p_v =2*P(t_{(41)}>4.905) =0.000015$

So the p value is lower than any significance level given, so then we can conclude that we can reject the null hypothesis that the difference between he two groups are equal.

4 0

3 years ago

The function f(x) = –2x2 + 32 represents the height of an object, f(x), after x seconds. How many seconds does it take for the o

Law Incorporation [45]

Given:

The height of an object, f(x), after x seconds is

$f(x)=-2x^2+32$

To find:

The time taken be object to hit the ground.

Solution:

We have,

$f(x)=-2x^2+32$

The object will hit the ground if the height is 0, i.e., f(x)=0.

$0=-2x^2+32$

$2x^2=32$

Divide both sides by 2.

$x^2=\dfrac{32}{2}$

$x^2=16$

Taking square root on both sides.

$x=\pm 4$

Time cannot be negative. So, x=4.

Therefore, the object will hit the ground after 4 seconds.

5 0

3 years ago

Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour. What is Edward's speed in miles per ho

Inessa05 [86]

1.5 miles per hour. i hope i helped :)

4 0

4 years ago

on Tuesday afternoon at Camp Bruce Did archery and sailling before dinner he spent 55 minutes at archery and 1 hour and 35 minut

Leviafan [203]

Answer:

12:30

Step-by-step explanation:

3 0

3 years ago

Julius is buying beverages for brunch. He needs to buy a total of 5

xeze [42]

Well, he only needs 5 gallons of beverages. Because he buys two containers of each, however, that means he bought 320 gallons total (I would say). How I got my answer:

There are 8 pints in a gallon (8 x 2)
There are 4 quarts in a gallon (4 x 2)
There are 16 cups in a gallon (16 x 2)
There are 128 ounces in a gallon (128 x 2)

With that being said, we can add these to find the total amount of gallons of beverages Julius bought. 16 + 8 + 8 + 32 + 256 = 320.

Hopefully this helps!

7 0

2 years ago