The mean of a population is 75 and the standard deviation is 13. The shape of the population is unknown. Determine the probability of each of the following occurring from this population.

a. A random sample of size 32 yielding a sample mean of 76 or more
b. A random sample of size 160 yielding a sample mean of between 74 and 76
c. A random sample of size 218 yielding a sample mean of less than 75.2

(Round all the values of z to 2 decimal places and final answers to 4 decimal places.)

An independent-measures research study was used to compare two treatment conditions. The first treatment had n=13, a mean of M=74 with a variance of s²=9, and the second treatment had n=11, M=61 and s²=6. Do these data indicate a significant difference between the two treatments? use a two-tailed test with αα=.05. Be Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers.

a. Which of these variables - age group or blood pressure - are the independent and dependent variables?

Independent: Age ?

Dependent: Blood Pressure ?

b. Find the regression equation which best describes the relationship between these variables.

Y = a + bx?

c. Calculate the correlation coefficient for this regression equation for this sample.  

Let X represent the weight of the students at a university. Suppose X has a mean of 75 kg and a standard deviation of 10 kg. Among 100 such randomly selected students from this university, what is the approximate probability that the average weight of this sample (X100) lies between

(a) 74 and 75 kg

(b) greater than 76 kg

(c) less than 73 kg

Assume that the sample size(N) is large enough for the CLT (Central Limit Theorem) to be applicable.

1. The sales associates at TV World earn a commission on every extended warranty that they sell to customers who buy a TV, so they have an incentive to aggressively promote that warranty. Suppose that TV World sells an extended warranty to 12% of the customers who buy a TV. We are planning to randomly select 135 customers who have bought a TV from TV World in the last year.

   1. What is the sampling distribution of the sample proportion of the customers who bought an extended warranty when they bought a TV? (You should include the mean and standard deviation)

   2. What is the probability that between 8% and 13% of the customers in the sample bought an extended warranty?

   3. What is the probability that at most 20% of the customers in the sample bought an extended warranty?

   4. What is the probability that at least 20% of the customers in the sample bought an extended warranty?

A parallel plate capacitor has circular plates of diameter 5 cm and separation 2 mm. The space between the plates is filled with a material of dielectric constant K = 3. The charges on the plates are ± q. The charge is given by q = 27 × 10−9 C.

Find: (i) the charge; (ii) the capacitance; (iii) the potential difference between the plates; (iv) the magnitude of the electric field between the plates; (v) the electric energy density between the plates; and (vi) the total electric energy

Schedule of Cash Collections of Accounts Receivable

OfficeMart Inc. has "cash and carry" customers and credit customers. OfficeMart estimates that 30% of monthly sales are to cash customers, while the remaining sales are to credit customers. Of the credit customers, 25% pay their accounts in the month of sale, while the remaining 75% pay their accounts in the month following the month of sale. Projected sales for the next three months are as follows:

The Accounts Receivable balance on September 30 was $81,000.

Prepare a schedule of cash collections from sales for October, November, and December. Round all calculations to the nearest whole dollar.

Schedule of Cash Collections of Accounts Receivable

OfficeMart Inc. has "cash and carry" customers and credit customers. OfficeMart estimates that 25% of monthly sales are to cash customers, while the remaining sales are to credit customers. Of the credit customers, 30% pay their accounts in the month of sale, while the remaining 70% pay their accounts in the month following the month of sale. Projected sales for the next three months are as follows:

The Accounts Receivable balance on September 30 was $35,000.

Prepare a schedule of cash collections from sales for October, November, and December. Enter all amounts as positive numbers.

Schedule of Cash Collections of Accounts Receivable

OfficeMart Inc. has "cash and carry" customers and credit customers. OfficeMart estimates that 20% of monthly sales are to cash customers, while the remaining sales are to credit customers. Of the credit customers, 25% pay their accounts in the month of sale, while the remaining 75% pay their accounts in the month following the month of sale. Projected sales for the next three months are as follows:

The Accounts Receivable balance on September 30 was $77,000.

Prepare a schedule of cash collections from sales for October, November, and December. Round all calculations to the nearest whole dollar.

Schedule of Cash Collections of Accounts Receivable

OfficeMart Inc. has "cash and carry" customers and credit customers. OfficeMart estimates that 25% of monthly sales are to cash customers, while the remaining sales are to credit customers. Of the credit customers, 20% pay their accounts in the month of sale, while the remaining 80% pay their accounts in the month following the month of sale. Projected sales for the next three months are as follows:

The Accounts Receivable balance on September 30 was $79,000.

Prepare a schedule of cash collections from sales for October, November, and December. Round all calculations to the nearest whole dollar.