MATHEMATICS COLLEGE

It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $11. A random sample of 36 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.

Answers

Answer 1

Answer:

Answer:

The null hypothesis is

$H_o : \mu =$ $98

The alternative hypothesis is

$H_a : \mu >$ $98

test statistics $t_s = 1.091$

The the result of the test statistics is significant

Step-by-step explanation:

From the question we are told that

The population mean is $\mu =$ $98

The standard deviation is $\sigma =$ $11

The sample size is $n = 36$

The sample mean is $\= x =$ $100

The level of significance is $\alpha = 5$ % = 0.05

The null hypothesis is

$H_o : \mu =$ $98

The alternative hypothesis is

$H_a : \mu >$ $98

Now the critical values for this level of significance obtained from critical value for z-value table is $z_\alpha = 1.645$

The test statistics is mathematically evaluated as

$t_s = (\= x - \mu)/( (\sigma )/( √(n) ) )$

substituting values

$t_s = (100 - 98)/( (11 )/( √(36) ) )$

$t_s = 1.091$

Looking at $z_\alpha \ and \ t_s$ we see that $z_\alpha \ > t_s$ hence the we fail to reject the null hypothesis

hence there is no sufficient evidence to conclude that the mean weekly food budget for all households in this community is higher than the national average.

Thus the the result is significant

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Answer:

Step-by-step explanation:

- A cylindrical fish tank can hold approximately 502.40

cubic inches of water. If the height of the fish tank is

10 inches, what is the radius of the tank? Use 3.14 for

the answer, 6.86

If your the bus driver and you have 30 kids on the bus. But the first stop 10 kids get off the bus how old is the bus driver?

Answers

Answer:

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Step-by-step explanation:

Hope this helps!

The environmental science club is printing T-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20. If the T-shirt order costs a total of $162.50, how much does the company charge for each shirt?

Answers

Final answer:

After subtracting the setup fee from the total cost, the remaining amount ($142.50) is divided by the number of t-shirts (15) to find the cost of each shirt, which is $9.5.

Explanation:

The total cost for the T-shirt order is $162.50 and this includes a $20 setup fee. If you subtract this setup fee from the total cost, you will be left with the total cost of the actual T-shirts.

This gives us: $162.50 - $20 = $142.50.

The total cost of the T-shirts is $142.50, and this is for the 15 members of the club. To find out a cost of each shirt, you would divide this amount by the number of shirts, which is 15:

$142.50 / 15 = $9.5.

So, the company charges $9.5 for each shirt.

Learn more about Cost Calculation here:

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Answer:

x=9.5

Step-by-step explanation:

Let be the cost of each shirt. From the information provided in the problem, we can setup the following equation:

Solving for will give us the answer:

In a particular class of 31 students, 14 are men. What fraction of the students in the class are men?

Answers

Answer:4 34/100

Step-by-step explanation:

31=100%

14=?

14*100/31

HOPE IT HELPS PLS MARK AS BRAINLIEST

Your dinner in London cost 82 British pounds. How muchwas it in U.S. dollars?

Some one please help me ASAP!!!

Answers

In U.S. dollars, the equivalent money will be $100.74

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given is your dinner in London cost 82 British pounds

Then in U.S. dollars, the equivalent money will be equivalent to -

x = 82 pounds = 82 x 1.2286 = $100.74

x = $100.74

Therefore, in U.S. dollars, the equivalent money will be $100.74

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the answer is $108.32

Need this asap please help!