1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MakcuM [25]
2 years ago
6

A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i

s $150. 00 with a standard deviation of $30. 20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2. 5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test? The customers spend more than the national average in his store. The manager should decrease prices in his store. The customers do not spend more than the national average in his store. The customers in his store just come from a rich neighborhood.
Mathematics
2 answers:
strojnjashka [21]2 years ago
3 0

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

  • Population mean = \mu = $150
  • Population standard deviation = \sigma = $30.20
  • Sample mean = \overline{x} = $160
  • Sample size = n = 40 > 30
  • Level of significance = \alpha = 2.5% = 0.025
  • We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

  • Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: H_0: \mu_0 \leq \mu = 150
  • Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically H_1: \mu_0 > \mu = 150

where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

Musya8 [376]2 years ago
3 0

Answer:

A

Step-by-step explanation:

You might be interested in
What is the nth term rule of the quadratic sequence below?<br> -5, -3,3, 13, 27, 45, 67, ...
Svetllana [295]

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ally has 4 times as many pencils as Anna Claire. They have 30 pencils in all. How many pencils does Ally have?
dexar [7]

T = 30

A = 4c

A + c = T

Anna Claire has 6 pencils. Times 4 makes Ally's pencil count. 4 * 6 = 24

24 + 6 = 30. So, you answer is: Ally has 24 pencils.

5 0
3 years ago
3) What is the mean value of the data?
soldi70 [24.7K]
The mean - add all the numbers (data) divided by the amount. 4+3+1+1+2+4+1 =16 16/7 = 2.28
The median - the middle number.
The mode - the most common number.
8 0
3 years ago
Please help lads<br><br> i need blaze rods, how do i get them.<br> (without dying)
Damm [24]
Wait what...... stream
Txt
7 0
2 years ago
Read 2 more answers
A graph Includes the ordered pair (2,4). Write two different rules that would be possible for this graph. Explain how you found
Vanyuwa [196]
We know that
An ordered pair is used to locate a point on a coordinate grid.
The first number in an ordered pair is the x-coordinate, and the second number in an ordered pair is the y-coordinate.

In this problem, the ordered pair is
(2,4)
so
the x-coordinate is equal to 2
the y-coordinate is equal to 4

therefore

Rule N 1
The y-value is 2 times the x-value

Rule N 2
The y-value is 2 greater than the x-value     

Both are possible because their solutions include the ordered pair listed          
4 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please answer this question please answer it correctly and please show work please help me I need it
    9·2 answers
  • If 1 1/2 cups od something fills 2/3 of a container how many cups fill the container
    9·1 answer
  • Arrange the functions in descending order, starting with the function that eventually has the greatest value and ending with the
    7·1 answer
  • Ce qui est cent fois vingt
    9·1 answer
  • What’s the rate of change for this table? Please explain and show your work.
    5·1 answer
  • A cell phone costs $120 dollars. The price is reduced 30% for a sale. How much is the savings?
    5·1 answer
  • If a circle is divided into 20 angles, what is the measure of each angle in the circle?
    14·3 answers
  • A softball player made a hit 34 times in the last 170 times at bat . Find the probability that the softball player will get a hi
    14·1 answer
  • in a triangle PQR, p=7.5cm, q=10cm, r=9.1cm. find the largest angle in the triangle using cosine rule.​
    12·1 answer
  • Solve the equation 15p2 + 7p − 4 = 0 by completing the square.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!