In a recent national survey, 30 Canadian adults aged 18-24 reported having used cannabis for the first time since its legalisation in 2018 compared to 68 among the 25-44-year-olds. Out of the 1500 survey respondents, 125 were 18-24-year-olds and 400 were in the 25-44 age group. The Public Health Agency has been concerned that the first time use of cannabis among the younger cohort is higher than that among the older cohort.

a) Formulate the appropriate statistical hypotheses to test if the proportion of first-time cannabis users is higher among younger adults.  

b) Perform the appropriate hypothesis test manually using the P-value approach and a 2% significance level. Make sure you verify that the relevant assumptions and conditions are met for the test.  

c) Using the corresponding confidence level, calculate a one-sided confidence interval for the difference in the proportions of first-time cannabis users among the two age groups.  

d) Are the results from b) and c) above consistent and why?

e) Use Minitab or other appropriate software to perform the calculations in b) and c) and comment on any differences.

Please show your calculations and steps. In a recent national survey, 30 Canadian adults aged 18-24 reported having used cannabis for the first time since its legalisation in 2018 compared to 68 among the 25-44-year-olds. Out of the 1500 survey respondents, 125 were 18-24-year-olds and 400 were in the 25-44 age group. The Public Health Agency has been concerned that the first time use of cannabis among the younger cohort is higher than that among the older cohort.

a) Formulate the appropriate statistical hypotheses to test if the proportion of first-time cannabis users is higher among younger adults.

b) Perform the appropriate hypothesis test manually using the P-value approach and a 2% significance level. Make sure you verify that the relevant assumptions and conditions are met for the test.

c) Using the corresponding confidence level, calculate a one-sided confidence interval for the difference in the proportions of first-time cannabis users among the two age groups.

d) Are the results from b) and c) above consistent and why? e) Use Minitab or other appropriate software to perform the calculations in b) and c) and comment on any differences.

What are the resource inequalities for the following situation?

Producing a bookshelf requires 8 boards and 12 screws. Producing a TV stand requires 6 boards and 14 screws. Each bookshelf yields $27 profit, and each TV stand yields $25 profit. There are 55 boards and 130 screws available.

• 8x+12y≤558x+12y≤55, 6x+14y≤1306x+14y≤130, x≥0x≥0, y≥0y≥0
• 8x+6y≤558x+6y≤55, 12x+14y≤13012x+14y≤130, x≥0x≥0, y≥0y≥0
• 8x+12y≤278x+12y≤27, 6x+14y≤256x+14y≤25, x≥0x≥0, y≥0y≥0
• 8x+6y≤278x+6y≤27, 12x+14y≤2512x+14y≤25, x≥0x≥0, y≥0

MCE

Craig, Inc., has provided the following information for one of its products for each hour of production:

Required:

1. Calculate MCE. If required, round your answer to two decimal places.

2. What is the theoretical cycle time? Calculate MCE using actual and theoretical cycle times. If required, round your answers to two decimal places.

3. What if waste is reduced by 50 percent?
New waste =  minutes

What is the new MCE? If required, round your answer to two decimal places.

What is the new cycle time?
minutes

An entrepreneur was opening a new fitness equipment store and wanted to determine the quantity of each type aerobic equipment she needed to have in inventory. In a previously opened store she opened, historical data showed the following to be monthly sales by machine in terms of percentage of units sold:

Treadmill 42%

Elliptical 22%

Stairmaster 22%

Recumbent bike 14%

She sold 200 total units in the first month of business with the following distribution:

Treadmill 91

Elliptical 35

Stairmaster 47

Recumbent bike 27

* THESE ARE THE OBSERVED VALUES

If her expected sales are to match her previous store, did her observed values equal her expected values at a 5% level of significance?

*Use and show the 5-step process along with any supporting information.

Expected Values

Treadmill 200 x .42 = 84

Eliptical 200 x .22 = 44

Stairmaster 200 x .22 = 44

Recumbent Bike 200 x .14 = 28

Step 1: H₀=

H_A=

Step 2: alpha =

Step 3: Test Statistic:

Step 4: Decision Rule:

Step 5: Calculation and Decision: X²= E((f₀-f_e)²/f_e)=

Reject or do not reject H₀? Why?

Using swap.s as a starting point and conforming to the stack frame structure explained above, provide MINIMAL MIPS assembly codes which EXACTLY match the desired behavior of C program below. Note that the selection function does not return value, instead it stores the outcome into the address (*list, a pointer of the array data, means the beginning address of the array data) provided by the caller. Hence, the caller needs to allocate a local variable, temp, in the stack.

void main()

{ int data[10] = {55, 44, 22, 33, 77, 0, 11, 99, 88, 44};

int size = 10, i;

selection(data, 0, 0, size, 1);

printf("The sorted list in ascending order is\n");

for (i = 0; i < size; i++)

{ printf("%d ", data[i]);

} } void selection(int *list, int i, int j, int size, int flag)

{

int temp;

if (i < size - 1)

{

if (flag)

{

j = i + 1;

}

if (j < size)

{

if (list[i] > list[j])

{

temp = list[i];

list[i] = list[j];

list[j] = temp;

}

selection(list, i, j + 1, size, 0);

}

selection(list, i + 1, 0, size, 1);

}

}