A biotechnology firm is planning its investment strategy for future products and research labs. A poll found that 11​% of a random sample of 1047 adults approved of attempts to clone a human.

Question: Find the margin of error for this poll if we want 90​% confidence in our estimate of the percent of adults who approve of cloning humans.

ME = ____________ (round to three decimal places as needed.)

Question: Find the margin of error if we want 99% confidence in our estimate.

ME= ________ ( round to three decimal places as needed.)

Diastolic blood pressure for diabetic women has a normal distribution with unknown mean and a standard deviation equal to 10 mmHg. Researchers want to know if the mean DBP of diabetic women is equal to the mean DBP among the general public, which is known to be 76 mmHg. A sample of 10 diabetic women is selected and their mean DBP is calculated as 85mmHg.

a. Conduct the appropriate hypothesis test at the 0.01 significance level.

b. What would a Type-1 error in example setting be?

c. How much power do you have to detect a difference of 11 mmHg between men and women?

In 2018-2019 season, Adam had a free throw success percentage of 64.2%. Assume that free throw shots are independent and that he had 8 free throws in a game.

Let X= number of free throws made in the next game.

-X has a binomial distribution, state the value of n and p.

-Find the binomial properties. Create a probability distribution table for X and show this probability distribution below.

(Write the following in terms of x in part A and in part B determine the probabability)

1. -Half are made

a. x=

b. Probabability=

2. Compute the mean and standard deviation for the probability distribution. Interpret the values that you calculate in the context of this problem.

The Merck Manual states that, for healthy adults, the mean number of milliliters of oxygen per deciliter of blood is 19.0. A company that sells vitamins claims that its multivitamin complex will increase the oxygen capacity of the blood. A random sample of 28 adults took the vitamin for six months. After blood tests, it was found that the sample mean was 20.7 ml of oxygen per deciliter of blood with a standard deviation of 6.7ml.

a. At the 0.05 level, test the claim that the average oxygen capacity has increased.

b. How much power do you have to detect a 3ml difference (from the null) in the average amount of oxygen in the blood?

c. What sample size would you need to have 90% power to detect this observed difference?

Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 125 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 110 mg/dl and σ = 14 mg/dl.

Let X = Sheila's measured glucose level one hour after a sugary drink

(a) P(X > 125) =  (Use 3 decimal places)

Suppose measurements are made on 3 separate days and the mean result is compared with the criterion 125 mg/dl.

(b) P(X > 125) =  (Use 3 decimal places)

(c) What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Hint: this requires a backward Normal calculation. (Use 2 decimal places)

1. If you were to toss a fair coin 5 times, how many different possible sequences of flips would there be?

2. Suppose that employees at a large company are assigned an ID number which contains 5 numbers and 2 letters. How many possible combinations are there in this system?

An important feature of digital cameras is battery​ life, the number of shots that can be taken before the battery needs to be recharged. The accompanying data contains battery life information for 29 subcompact cameras and 16 compact cameras. Complete parts​ (a) through​ (d) below.

Battery life data for the two types of digital camera:

Subcompact Compact

302 394

310 445

289 447

279 260

246 345

197 239

326 332

242 221

276 233

236 256

197 281

223 397

279 507

209 201

261 148

221 129

236

209

208

289

162

276

197

141

232

222

198

168

149

a. Is there evidence of a difference in the variability of the battery life between the two types of digital​ cameras? (Use

alphaαequals=0.05​.)

What are the correct null and alternative​ hypotheses?

What is the test​ statistic?

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

What is the critical​ value? Select the correct choice below and fill in the answer box within your choice.

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

A.

Upper F Subscript alphaFαequals=...

B.

Upper F Subscript alpha divided by 2Fα/2equals=...

What is the correct​ conclusion?

A.

Reject

Upper H 0H0.

There is insufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

B.

Do not reject

Upper H 0H0.

There is insufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

C.

Reject

Upper H 0H0.

There is sufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

D.

Do not reject

Upper H 0H0.

There is sufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

b. Determine the​ p-value in​ (a) and interpret its meaning.

The​ p-value in part​ (a) is.....

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

What does the​ p-value mean?

A.

The probability of obtaining a sample that yields a test statistic equal to or more extreme than the one in​ (a) is equal to the​ p-value if there is a difference in the two population variances.

B.

The probability of obtaining a sample that yields a test statistic equal to or more extreme than the one in​ (a) is equal to the​ p-value if there is no difference in the two population variances.

C.

The probability of obtaining a sample that yields a test statistic equal to or less extreme than the one in​ (a) is equal to the​ p-value if there is no difference in the two population variances.

D.

The probability of obtaining a sample that yields a test statistic equal to or less extreme than the one in​ (a) is equal to the​ p-value if there is a difference in the two population variances.

c. What assumption about the population distribution of the two types of cameras is necessary in​ (a)?

A.

The populations have equal means.

B.

The populations are the same size.

C.

The populations have different means.

D.

The populations are normally distributed.

Is this assumption​ satisfied?

▼

Yes,

No,

because

▼

the subcompact sample is

the compact sample is

the two samples are

the compact sample mean is

▼

left-skewed.

right-skewed.

smaller than the subcompact sample.

roughly symmetric.

skewed in opposite directions.

smaller than the subcompact sample mean.

equal to the subcompact sample mean.

equal to the subcompact sample.

larger than the subcompact sample mean.

larger than the subcompact sample.

d. Based on the results of​ (a), which t test should be used to compare the mean battery life of the two types of​ cameras?

A.

The​ pooled-variance t test should be​ used, because the two populations have equal variances.

B.

The​ separate-variance t test should be​ used, because the two populations do not have equal variances.

C.

The​ separate-variance t test should be​ used, because the two populations have equal variances.

D.

The​ pooled-variance t test should be​ used, because the two populations do not have equal variances.

(CO7) A state Department of Transportation claims that the mean wait time for various services at its different location is more than 6 minutes. A random sample of 16 services at different locations has a mean wait time of 9.5 minutes and a standard deviation of 7.6 minutes. At α=0.01, can the department’s claim be supported assuming the population is normally distributed?
@See text page 382

3) An academic advisor at a university was studying student class attendance and would like to know if class attendance depends on school. a) State the Hypothesis to show class attendance depends on school. b) Choose a level of significance Use a = 0.05 for this problem. c) To test the hypothesis, the advisor obtained attendance records for 23 students (6 from engineering, 9 from business, and 8 from arts and sciences) for the fall term. The advisor determines the total number of lectures missed by each student. The data appear in the Absence worksheet in the HW4 data workbook on Moodle. d) Draw a conclusion and report that in the context of the problem. e) Use Fisher’s LSD Test with a= 0.05 to determine which schools’ students have significantly differently absence rates.

data:

a bakery has bought 140 lbs of muffin dough. They want to make muffins and waffles in half dozen packs out of it. A pack of muffins requires one pound of dough & a pack of waffles requires half a pound of dough. It takes bakers 2 minutes to make a half dozen of muffins & 5 minutes to make a half dozen of waffles. The bakery make $1.50 profit on each pack of muffins and $2.00 profit on each pack of waffles. What is the max possible profit the bakery can make from the muffin dough it purchased if the bakers need to complete the baking in 10 hours or less (600 minutes)?

a)$210 b)$240 c)$310 d) $320 e)none

John is 37 years old and would like to establish a retirement plan. Develop a spreadsheet model that could be used to assist John with retirement planning. Your model should include the following input parameters:

John’s current age = 37 years,

Johns current total retirement savings = $259,000,

Annual rate of return on retirement savings = 4 percent,

Johns current annual salary = $145,000,

Johns expected annual percentage increase in salary = 2 percent,

Johns percentage of annual salary contributed to retirement = 6 percent,

Johns expected age of retirement = 65,

Johns expected annual expenses after retirement (current dollars) = $90,000,

Rate of return on retirement savings after retirement = 3 percent,

Income tax rate postretirement = 15 percent

Assume that John’s employer contributes 6% John’s salary to his retirement fund. John can make an additional annual contribution to his retirement fund before taxes (tax free) up to a contribution of $16,000. Assume he contributes $6,000 per year. Also, assume an inflation rate of 2%.

Managerial Report Your spreadsheet model should provide the accumulated savings at the onset of retirement as well as the age at which funds will be depleted (given assumptions on the input parameters).

Outline the factors that will have the greatest impact on his retirement.

Show all work in excel.

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic.

Step 1 of 2:

Suppose a sample of 1046 new car buyers is drawn. Of those sampled, 355 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Step 2 of 2:

Suppose a sample of 1046 new car buyers is drawn. Of those sampled, 355 preferred foreign over domestic cars. Using the data, construct the 85% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.

in a survey of 2290 adults, 717 say they believe in UFO's

construct a 99% confidence interval for the population proportion of adults who believe in UFOS

a 99% confidence level for the population proportion is ( , ) round to three decimals.

interpret your results. Choose correct answer below.

A. with 99% probability the population proportion of adults who do not believe in UFOS is between the endpoints of the given confidence interval.

B. with 99% confidence it can be said that the population proportion of adults who believe in UFOS is between the endpoints of the given confidence interval.

C. the endpoints of the given confidence interval shows that 99% of adults believe in UFOs

D. with 99% confidence , it can be said that the sample proportion of adults who believe in UFOS is between the endpoints of the given confidence interval.

a sample of 21 minivan electrical warranty repairs for "loose, not attached" wires (one of several electrical failure categories the dealership mechanic can select) showed a mean repair cost of $45.66 with a standard deviation of $27.79. (a) construct a 95 percent confidence interval for the true mean repair cost. (b) How could the confidence interval be made narrower?

does the "unbiased" aspect of unbiased estimator indicate that it underestimates the population value with same tenency as it overestimates the population value, or not?