2.5 A Spar retailer observed a random sample of 161 customers and found that 69 customers paid for their grocery purchases by cash and the remainder by credit card. Question: Construct a 90% confidence interval for the actual percentage of customers who pay cash for their grocery purchases.

5 points

a) The actual percentage of customers who pay cash for their grocery purchases lies between 42.81% and 43.90%.

b) The actual percentage of customers who pay cash for their grocery purchases lies between 36.44% and 49.28%.

c) The actual percentage of customers who pay cash for their grocery purchases lies between 42.12% and 41.80%.

d) The actual percentage of customers who pay cash for their grocery purchases lies between 37.85% and 47.87%.

2.6 A survey amongst a random sample of 250 male and female respondents was conducted into their music listening preferences. Each respondent was asked whether they enjoy listening to jazz. Of the 140 males surveyed, 46 answered ‘Yes’. Of the 110 female respondents, 21 answered ‘Yes’. Is there statistical evidence at the 5% level of significance that males and females equally enjoy listening to jazz? Question: Formulate the Null and Alternative Hypothesis for this problem and tick the correct answer below.

2 points

a) H0: μ1 - μ2 ≠ 0 vs H1: μ1 - μ2 > 0

b) H0: μ1 - μ2 = 0 vs H1: μ1 - μ2 ≠ 0

c) H0: μ1 - μ2 < 0 vs H1: μ1 - μ2 < 0

d) H0: μ1 - μ2 ≤ 0 vs H1: μ1 - μ2 < 0

2.7 Make use of the information provided in the previous question and calculate the z-statistic using Z-test and tick the correct answer below.

5 points

a) z-stat = 1.96

b) z-stat = 2.19

c) z-stat = 2.44

d) z-stat = -2.01

2.8 Based on your empirical evidence in the previous question make a statistical conclusion whether there is statistical evidence at the 5% level of significance that males and females equally enjoy listening to jazz. Tick the correct answer below.

5 points

a) None of these answers is correct.

b) Reject the Null hypothesis. The alternative is probably true that the male and female proportions differ.

c) Fail to reject the Null hypothesis, the Null is probably true that the male and female proportions is the same.

d) Accept the Null hypothesis because the statistic is very close to the z-critical = 1.96.

A fire recently destroyed a substantial portion of Culver Company’s production capacity. It will be many months before capacity can be restored. During this period, demand for the firm’s products will exceed the company’s ability to produce them. Per-unit data on the firm’s three major products is summarized as follows:

Fixed costs have been allocated to the products on the basis of the labour hours required to produce each product. The major capacity constraint is the availability of time on a processing machine. Each unit of Product A and Product C requires 2 hours of processing on the machine, whereas Product B requires 3 hours.

a) Assume that the firm has enough capacity to meet the demand of the two products you identified in previous part. If estimated demand for the next product to be produced exceeds capacity by 950 units, what is the maximum amount the firm would be willing to pay to increase capacity?

b) Management adopted your plan from first part. Shortly thereafter, a strategically important customer requested that the firm supply 500 units of Product D, which has been discontinued but could be produced again if needed. Management wants to meet the customer’s request to maintain goodwill but wants to know the cost before making the decision. In the past, Product D sold for $43, incurred $22 in variable costs, was allocated $4 of fixed costs, and required 1.5 hours of processing on the machine. What is the opportunity cost of accepting the order?

Two average height parents have several children, all about the same average height as their parents. Which set of parental genotypes could account for these data? (Mark all correct answers)

If height in plants was controlled by three additive genes, A, B, and C, a cross of an intermediate plant with a genotype of AaBbCc with an intermediate plant with a genotype of AaBbCc, would produce what ratios of heights in the offspring?

In wheat, seed color is a polygenic trait (additive model). If true- breeding red and white varieties are crossed, the F1 are intermediate in color. If the F1 are self-fertilized, about 1 in 256 have white seeds. How many genes control variation in color?

An inbred strain of plants has a mean height of 20 cm. A second inbred strain also has a height of 40 cm. Crossing the two strains produces an F ₁ that has a mean height of 30 cm. The F ₂ have a continuous range of heights was observed with most plants around 30 cm and 1 out of 1000 at 20-cm, and 1 out of 1000 at 40 cm. How much does each additive allele contribute to height?

Please answer all and explain.Thank you!

The data in the accompanying table represent the heights and weights of a random sample of professional baseball players. Complete parts ​(a) through ​(c) below.

Player   Height_(inches)   Weight_(pounds)
Player_1   75   227
Player_2   75   195
Player_3   72   180
Player_4   82   231
Player_5   69   185
Player_6   74   190
Player_7   75   228
Player_8   71   200
Player_9   75   230

​(a) Draw a scatter diagram of the​ data

​(b) Determine the​ least-squares regression line. Test whether there is a linear relation between height and weight at the α=0.05 level of significance.

Determine the​ least-squares regression line. Choose the correct answer below.

A.

ŷ =−93.9x+4.058

B.

ŷ =4.058x−93.9

C.

ŷ =4.058x−95.9

D.

ŷ =8.058x−93.9

Test whether there is a linear relation between height and weight at the α=0.05 level of significance.

State the null and alternative hypotheses. Choose the correct answer below.

A.

H0​: β1=0

H1​: β1>0

B.

H0​: β0=0

H1​: β0≠0

C.

H0​: β1=0

H1​: β1≠0

D.

H0​: β0=0

H1​: β0>0

Determine the​ P-value for this hypothesis test.

​P-value=__?__

​(Round to three decimal places as​ needed.)

State the appropriate conclusion at the α=0.05 level of significance. Choose the correct answer below.

A.

Reject H0.

There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

B.

Reject H0.

There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

C.

Do not reject H0.

There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

D.

Do not reject H0.

There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

​(c) Remove the values listed for Player 4 from the data table. Test whether there is a linear relation between height and weight. Do you think that Player 4 is​ influential?

Determine the​ P-value for this hypothesis test.

​P-value=__?__

​(Round to three decimal places as​ needed.)

State the appropriate conclusion at the α=0.05 level of significance. Choose the correct answer below.

A.

Reject H0.

There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

B.

Do not reject H0.

There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

C.

Do not reject H0.

There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

D.

Reject H0.

There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

Do you think that Player 4 is​ influential?

No

Yes

A bank has kept records of the checking balances of its customers and determined that the population average daily balance of its customers is $300 with a population standard deviation of $48. A random sample of 144 checking accounts is selected.

A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $300 with a standard deviation of $48, and is a normally distributed population.  A random sample of 144 checking accounts is selected.

a) What is the probability that the sample mean will be at least $306.60?

b) What is the probability that the sample mean will be less than $308?

c) What is the probability that the sample mean will be between $302 and $308?

Please Use the ECLIPSE AND FOLLOW THESE RULES

Apply the naming conventions for variables, methods, classes, and packages:

- variable names start with a lowercase character

- classes start with an uppercase character

- packages use only lowercase characters

methods start with a lowercase character

question1:

Design a Lotto class with one array instance variable to hold three random integer values (from 1 to 9). Include a constructor that randomly populates the array for a lotto object. Also, include a method in the class to return the array.

Use this class to simulate a simple lotto game in which the user chooses a number between 3 and 27. The user runs the lotto up to 5 times and each time the sum of lotto numbers is calculated. If the number chosen by the user matches the sum, the user wins and the game ends. If the number does not match the sum within five rolls, the computer wins.

question2:

Write a Java class that implements a set of three overloaded static methods. The methods should have different set of parameters and perform similar functionalities. Call the methods within main method and display the results.

eclipse...

3. A bank with branches located in a commercial area in Jakarta wants to improve the process for serving customers during the lunch time period.
Waiting time data was collected from a random sample of 15 customers in Bank branch 1, as follows:

4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50 6.10 0.38 5.12 6.46 6.19 3.79

Data was also collected from a random sample of 15 customers in Bank branch 2, as follows:

9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.35 10.49 6.68 5.64 4.08 6.17 9.91 5.47

a. Assuming that the population variations of the two bank branches are the same, test the hypothesis that there is a difference in the average waiting time between the two branches? (Use α = 0.05.)
b. Create and interpret an estimated 95% confidence interval from the difference in average waiting time between the two branches

1. Following information is from the instruction of Q5 DNA polymerase: One unit of enzyme will incorporate 10 nmol of dNTP into acid insoluble material in 30 minutes at 74°C. The temperature of denaturing should be (   ) and the temperature of extension should be (   )

   		94℃ to 98℃ for both.
   		94℃ to 98℃ for denaturing, 74℃ for extension.
   		72℃ for denaturing, 50℃ to 65℃ for extension.
   		94℃ to 98℃ for denaturing, 50℃ to 65℃ for extension.