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
DochEvi [55]
3 years ago
15

A researcher would like to determine whether a new tax on legalized marijuana has had any effect on people’s purchasing behavior

. During the year before the tax was imposed, medical marijuana stores reported selling an average of µ = 410 grams of marijuana per day with a σ = 60 grams. The distribution of daily sales was approximately normal. For a sample of n = 9 days following the new tax, the researcher found an average of M = 386 grams of marijuana per day for the same stores. Use a two-tailed test with α = .05
a. Is the sample mean sufficient to conclude that there was a significant change in marijuana purchases after the new tax? Use a two-tailed test with α = .05.
b. If the population standard deviation was σ = 30, is the result sufficient to conclude that there is a significant difference in sales of marijuana?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

Answer:

a) z=\frac{386-410}{\frac{60}{\sqrt{9}}}=-1.2    

p_v =2*P(z  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not different from 410 at 5% of signficance.  

b) z=\frac{386-410}{\frac{30}{\sqrt{9}}}=-2.4  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

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 we can conclude that the true mean is significantly different from 410 at 5% of signficance.  

Step-by-step explanation:

Part a

Data given and notation  

\bar X=386 represent the sample mean    

\sigma=60 represent the population standard deviation

n=9 sample size  

\mu_o =410 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z 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 true mean differs from 410, the system of hypothesis would be:  

Null hypothesis:\mu =410  

Alternative hypothesis:\mu \neq 410  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-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:  

z=\frac{386-410}{\frac{60}{\sqrt{9}}}=-1.2  

P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not different from 410 at 5% of signficance.  

Part b

z=\frac{386-410}{\frac{30}{\sqrt{9}}}=-2.4  

P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

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 we can conclude that the true mean is significantly different from 410 at 5% of signficance.  

You might be interested in
Will give brainliest so no links^^
lora16 [44]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?
vodka [1.7K]
The correct answer to this problem would be -3. Based on the points you've provided on the graph, -3 would be the correct common difference. :)
5 0
3 years ago
Read 2 more answers
Is it possible to split a jackpot of $2,783,000 equally among 9 winners? Explain your answer.​
Katena32 [7]

Answer:

No it isnt possible

Step-by-step explanation:

it is not because 2,783,000 is not divisible by 9

4 0
2 years ago
I need help with 28 and the answer is supposed to be a percent
pogonyaev

Answer:

12% decrease

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

650-572=78

Divide this amount by the original amount

78/650 =.12

Multiply by 100

.12*100 = 12

Add the percent symbol

12% decrease

6 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST. DUE TODAY
SpyIntel [72]

Step-by-step explanation:

AB = AC ( Given)

angle BAD = angle DAC. (AD bisects BAC)

AD = AD. ( common side )

abd is congruent to adc. ( SAS Axiom)

4 0
3 years ago
Other questions:
  • If the sum of a number and one is doubled​, the result is three less than the number. Find the number
    8·2 answers
  • Which figure is a prism? A pyramid with rectangular base. A cylinder. A prism with a rectangular base. A pyramid.
    5·2 answers
  • Simply this term<br> is -2x+11+6x​
    7·2 answers
  • Can someone help again please
    9·2 answers
  • What is the missing term that makes these ratios equivalent? 1.5:3, 31.5:____
    13·1 answer
  • Simplify 8y-7/8x+6y+3/8
    8·1 answer
  • Please help, thank you.
    9·1 answer
  • Write 5,890,000,000 in scientific notation.
    9·1 answer
  • How much will you get paid if you work 28.5 hours for $7.75 per hour?
    8·2 answers
  • Given that Q(x)=2x^2 +5x-3 find and simplify Q(a+h)-Q(a-h)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!