A bank offers 9.00% on savings accounts. What is the effective annual rate if interest is compounded daily?

Answer format: Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))

A bank offers 9.00% on savings accounts. What is the effective annual rate if interest is compounded continuously?

Answer format: Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))

Assume a bank offers an effective annual rate of 6.70%. If compounding is quarterly what is the APR?

Answer format: Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))

Assume a bank offers an effective annual rate of 7.39%. If compounding is monthly what is the APR?

Answer format: Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))

Problem 3) Butterflies show 3 phenotypes due to incomplete dominance at the D locus with alleles D^Y and D^B giving green phenotype in heterozygotes and yellow and blue in homozygotes

a) A population of butterflies showed 49% yellow, and 51% blue and green. What percentage of the gametes for the next generation would contain the D^B allele?

b) In another population only 1% of the butterflies are blue, What is the D^Y allele frequency?

c) If the butterflies were subject to predation by birds that could easily detect blue & yellow individuals what effect would you expect this to have on the genotype and allele frequencies over time? Indicate possible percentages.

Problem 4)   About 7% of men in a population are red-green colour blind due to a sex-linked recessive gene. Assuming random mating in the population with respect to colour blindness;

a) What percentage of women would be expected to be colour blind?

b) What percentage of women would be expected to be heterozygous?

c) What percentage of men would be colour blind in the next generation?

1.

Consider the following stock price and shares outstanding information. DECEMBER 31, Year 1 DECEMBER 31, Year 2 Price Shares Outstanding Price Shares Outstanding Stock K $22 108,000,000 $33 108,000,000 Stock M 86 2,200,000 46 4,400,000a Stock R 37 21,000,000 42 21,000,000 aStock split two-for-one during the year. Compute the beginning and ending values for a price-weighted index and a market-value-weighted index. Assume a base value of 100 and Year 1 as the base period. Do not round intermediate calculations. Round your answers to two decimal places.

PWIYear 1:

PWIYear 2:

VWIYear 1:

VWIYear 2:

Compute the percentage change in the value of each index during the year. Do not round intermediate calculations. Round your answers to two decimal places.

Percentage change in PWI: %

Percentage change in VWI: %

Compute the percentage change for an unweighted index assuming $1,000 is invested in each stock. Do not round intermediate calculations. Round your answer to two decimal places.

%

Question 5 options: A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds that 77% of them received a passing grade. Create a 99% confidence interval for the population proportion of passing test scores. Enter the lower and upper bounds for the interval in the following boxes, respectively. You may answer using decimals rounded to four places or a percentage rounded to two. Make sure to use a percent sign if you answer using a percentage.

Question 6 options: An online retailer wants to estimate the number of visitors that click on their advertisement from a particular website. Of 978 page views in a day, 8% of the users clicked on the advertisement. Create a 90% confidence interval for the population proportion of visitors that click on the advertisement. Enter the lower and upper bounds for the interval in the following boxes, respectively. You may answer using decimals rounded to four places or a percentage rounded to two. Make sure to use a percent sign if you answer using a percentage.

5. Recorded for May for a 65-bed hospital:

Date IPSD Date IPSD Date IPSD

1 50 11 48 21 55

2 50 12 56 22 58

3 49 13 58 23 62

4 54 14 56 24 65

5 52 15 59 25 63

6 51 16 60 26 62

7 50 17 59 27 60

8 43 18 58 28 60

9 44 19 54 29 62

10 46 20 55 30 63

31 50

Calculate: (2 decimal places)

a. Percentage of occupancy for May

b. Percentage of occupancy for May 25

c. Percentage of occupancy for:

(1) May 1 through May 10

(2) May 11 through May 20

(3) May 21 through May 31

d. Percentage of occupancy for May if the bed count had increased to 70 beds on May 11 and to 75 beds on May 21.

In one school district, there are 89 elementary school (K-5) teachers, of which 18 are male (or male-identifying). In a neighboring school district, there are 102 elementary teachers, of which 17 are male. A policy researcher would like to calculate the 99% confidence interval for the difference in proportions of male teachers.

To keep the signs consistent for this problem, we will calculate all differences as p1−p2. That is, start with the percentage from the first school district and then subtract the percentage from the second district. Failing to do so may end up with “correct” answers being marked as wrong.

Point estimate for the percentage males in the first district:
      ˆp1=
Point estimate for the percentage males in the second district:
      ˆp2=
Point estimate for the difference in percentages between the two districts:
      ˆp1−ˆp2=

Estimate of the standard error for this sampling distribution (distribution of differences):
      √ˆp1(1−ˆp1)n1+ˆp2(1−ˆp2)n2=

Critical value for the 99% confidence level:
      zc.v.=

99% margin of error:
      M.E.=

99% confidence interval:

≤p1−p2≤

Consider the following stock price and shares outstanding information. DECEMBER 31, Year 1 DECEMBER 31, Year 2 Price Shares Outstanding Price Shares Outstanding Stock K $22 100,000,000 $30 100,000,000 Stock M 84 2,400,000 46 4,800,000a Stock R 39 24,000,000 42 24,000,000 aStock split two-for-one during the year. Compute the beginning and ending values for a price-weighted index and a market-value-weighted index. Assume a base value of 100 and Year 1 as the base period. Do not round intermediate calculations. Round your answers to two decimal places.

PWIYear 1: PWIYear 2: VWIYear 1: VWIYear 2:

Compute the percentage change in the value of each index during the year. Do not round intermediate calculations. Round your answers to two decimal places. Percentage change in PWI: % Percentage change in VWI: %

Compute the percentage change for an unweighted index assuming $1,000 is invested in each stock. Do not round intermediate calculations. Round your answer to two decimal places. %

Consider the following stock price and shares outstanding information.

1. Compute the beginning and ending values for a price-weighted index and a market-value-weighted index. Assume a base value of 100 and Year 1 as the base period. Do not round intermediate calculations. Round your answers to two decimal places.

             PWI_{Year 1}:

             PWI_{Year 2}:

             VWI_{Year 1}:

             VWI_{Year 2}:

2. Compute the percentage change in the value of each index during the year. Do not round intermediate calculations. Round your answers to two decimal places.

   Percentage change in PWI:   %

   Percentage change in VWI:   %

3. Compute the percentage change for an unweighted index assuming $1,000 is invested in each stock. Do not round intermediate calculations. Round your answer to two decimal places.

     %