Please answer these questions in detail. With formulas

A new blood clotting drug has been developed and researcher are interested to see if the new drug out performs the most commonly used treatment. 6 patients were given the new drug and 7 patients were given the old drug. The clotting times were recorded (lower times are better). The data are:

1: What is the null hypothesis?

a: there is no difference in clotting times

b: the old drug clots faster

c: the new drug clots faster

d: there is a difference in clotting times

2: What is the value of the test statistic?

3: How many degrees of freedom are there?

4: What we conclude if we ran a two tailed test?

a: there is no evidence of a difference in clotting times

b: there is evidence that the new drug results in faster clotting

c: there is evidence that the old drug results in faster clotting

5: What would we conclude if we had instead used a one-tailed test?

a: there is no evidence of a difference in clotting times

b: there is evidence that the new drug results in faster clotting

c: there is evidence that the old drug results in faster clotting

Assume that x is a binomial random variable with n = 100 and p = 0.40. Use a normal
approximation (BINOMIAL APPROACH) to find the following: **please show all work**
c. P(x ≥ 38) d. P(x = 45) e. P(x > 45) f. P(x < 45)

A random sample of n = 25 is selected from a normal population with mean

μ = 101

and standard deviation

σ = 13.

(a) Find the probability that x exceeds 107. (Round your answer to four decimal places.)

(b) Find the probability that the sample mean deviates from the population mean μ = 101 by no more than 2. (Round your answer to four decimal places.)

Suppose x has a distribution with μ = 19 and σ = 18. (a) If a random sample of size n = 46 is drawn, find μx, σ x and P(19 ≤ x ≤ 21). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (b) If a random sample of size n = 64 is drawn, find μx, σ x and P(19 ≤ x ≤ 21). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is part (a) because of the sample size. Therefore, the distribution about μx is . Need Help? Read It

When crossing the Golden Gate Bridge traveling into San Francisco, all drivers must pay a toll. Suppose the amount of time (in minutes) drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(x) = 0.2e−0.2x.

a. What is the mean waiting time that drivers face when entering San Francisco via the Golden Gate Bridge?

b. What is the probability that a driver spends more than the average time to pay the toll? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

c. What is the probability that a driver spends more than 10 minutes to pay the toll? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) d. What is the probability that a driver spends between 4 and 6 minutes to pay the toll? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

The probability of a telesales representative making a sale on a customer call is 0.15.Find the probability that......

A) No sales are made in 10 calls

B) more than 3 sales are made in 10 calls.

C) How many representatives are required to achieve a mean of at least 5 sales each day?

A major university claimed that the mean number of credit hours that their entire population of undergraduate students took each semester was 13.1. A counselor questioned whether this was true. She took a random sample of 250 undergraduate students, and the mean of that sample of students showed that they completed 12.8 credit hours. The population standard deviation is 1.6. Conduct a full hypothesis test using the p-value approach. Let α = .05.

Determine if the mean credit hours for the sample is significantly different than that of the population.

What formula seems to match what we have been given and what we need to find?

A simple random sample of 60 items resulted in a sample mean of 70. The population standard deviation is  = 15.

a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place.
Enter your answer using parentheses and a comma, in the form (n1,n2). Do not use commas in your numerical answer (i.e. use 1200 instead of 1,200, etc.)

b. Assume that the same sample mean was obtained from a sample of 130 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places.

c. What is the effect of a larger sample size on the interval estimate?

  Larger sample provides a - Larger or smaller - margin of error?

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night.† Assume that room rates are normally distributed with a standard deviation of $55.

(a)

What is the probability that a hotel room costs $245 or more per night? (Round your answer to four decimal places.)

(b)

What is the probability that a hotel room costs less than $120 per night? (Round your answer to four decimal places.)

(c)

What is the probability that a hotel room costs between $210 and $300 per night? (Round your answer to four decimal places.)

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. For the context of this problem, μd=PostTest−PreTestμd=PostTest-PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1μ1 and μ2μ2 are so that the differences are computed correctly.)
Ho:μd=0
Ha:μd≠0
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

What is the test statistic for this sample?
test statistic =

What is the p-value for this sample?
p-value =

LOADING...

Click the icon to view the table of critical​ t-values.

​(a) Determine a point estimate for the population mean.

A point estimate for the population mean is BLANK

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

​(b) Construct and interpret a 95​% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice.

​(Use ascending order. Round to two decimal places as​ needed.)

A. There is 95​% confidence that the population mean pH of rain water is between BLANK AND BLANK

B. If repeated samples are​ taken, 95​% of them will have a sample pH of rain water between BLANK and BLANK.

C. There is a 95​% probability that the true mean pH of rain water is between BLANK AND BLANK.

​(c) Construct and interpret a 99​% confidence interval for the mean pH of rainwater.

Select the correct choice below and fill in the answer boxes to complete your choice.

​(Use ascending order. Round to two decimal places as​ needed.)

A.There is 99​% confidence that the population mean pH of rain water is between BLANK AND BLANK.

B. If repeated samples are​ taken, 99​% of them will have a sample pH of rain water between BLANK AND BLANK.

C. There is a 99​% probability that the true mean pH of rain water is between BLANK and BLANK.

​(d) What happens to the interval as the level of confidence is​ changed? Explain why this is a logical result.

As the level of confidence​ increases, the width of the interval

▼

decreases.

increases.

This makes sense since the

▼

sample size

margin of error

point estimate

▼

decreases as well.

increases as well.

A medical journal reported the results of a study in which three groups of 50 women were randomly selected and monitored for urinary tract infections over 6 months. One group drank cranberry juice​ daily, one group drank a lactobacillus​ drink, and the third group drank neither of those​ beverages, serving as a control group. In the control​ group, 18 women developed at least one infection compared with 19 of those who consumed the lactobacillus drink and only 7 of those who drank cranberry juice. Does the study provide supporting evidence for the value of cranberry juice in warding off urinary tract infections in​ women? Complete parts a through f below.

f) If you concluded that the groups are not the​ same, analyze the differences using the standardized residuals of your calculations. Select the correct choice​ below, and if​ necessary, fill in the answer box to complete your choice.

A.

B. The conclusion does not indicate that the groups are different.

C. Since the assumptions are not​ satisfied, a hypothesis test is not appropriate.

3. Assume that oak trees have an average height of 90 feet with a standard

deviation of 14 feet. Their heights are normally distributed (i.e., μ = 90 and σ = 14).

A. Using a z table or online calculator, determine the percent of oak trees that are at least 106.50 feet tall. (Hint: You will need to start by converting 106.50 to a z score.)

B. Using a z table or online calculator, determine the percent of oak trees that are 83.95 feet or less.

C. Using your answers to A and B, what percent of oak trees’ heights are between 83.95 feet and 106.50 feet?

what is the difference between one sample t test ,two sample test and paired test? can you make a real life example to illustrate?

A sample of 35 cars of a certain kind had an average mileage of 36.2 mpg. Assuming that mileage is approximately normally distributed with standard deviation 4 mpg, test the hypothesis that the average mileage for all cars of this type is no less than 34.2 mpg at the 0.01 significance level. Give the value of p you find to two decimal places, and choose the correct conclusion:

p=