can you check if my answers are correct and can you please type the correct answers for each question

1. 5 points) Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open.

Estimate the probability that the store will gross over $850

1. at least 6 out of 10 business days.   0.633

2. at most 3 of the 10 business days. 0.0547

3. fewer than 7 out of 20 business days. 0.0065

4. more than 16 out of 20 business days. 0.0159

5. What is the expected (mean) number of business days for which the store would gross over $850 in a month (30 days)? 18 days

In the low alcohol group, 174 women developed head and neck cancer in 23,800 person-years of observation, while in the high alcohol group 126 women developed head and neck cancer in 4,200 person-years.

Breast cancer was diagnosed in 710 women with low alcohol intake who contributed 22,100 person-years of observation, while in the high alcohol intake group 290 women developed breast cancer in 3,900 person-years of observation.

Calculate the attributable risk due to high alcohol intake for head and neck cancers and breast cancers in this cohort of women.

​a) Check the assumptions and conditions for inference about the mean. Select all that apply.

A. All of the assumptions and conditions for inference about the mean are met.

B. The​ 10% condition is not met.

C. The randomization condition is not met and the sample is not suitably representative.

D. The independence assumption is not met.

E. The nearly normal condition is not met.

​b) Find a​ 99% confidence interval for the true percentage of flights that arrive late.

___ < (Delayed Flight)< ___ ​(Round to two decimal places as​ needed.)

​c) Interpret this interval for a traveler planning to fly. Choose the correct answer below.

A. ​99% of all months have delayed flights rates within the interval.

B. A randomly selected month has a​ 99% chance of having a delayed flight percentage within the interval.

C. We can be​ 99% confident that the interval contains the true mean monthly percentage of delayed flights.

D. There is a​ 99% chance that the true mean monthly percentage of delayed flights is within the interval.

a) A psychologist is interested in whether or not handedness is related to gender. Specifically, she wants to know if the percentage left-handed men in the population is different from the percentage of left-handed women. She collected data on handedness for 200 men and 200 women. What type of statistical test would be appropriate?

options: a) Chi-square goodness of fit test b) Independent samples t-test c) Paired t-test d) Chi-square test of independence

b) Nima investigated the relationship between optimism and exercise habits on recall for health information. Participants took the Life Orientation Test and were divided into low optimism and high optimism groups. These two groups were further subdivided by whether the participant rarely exercised, sometimes exercised, or frequently exercised. Each participant was presented with a page of 30 facts about healthy living, and one week later their memory for these facts was tested. Which statistical test you would use to answer the research question and/or analyze the data described?

options: a)chi-square test of independence b)repeated measures ANOVA c)one-way ANOVA d)factorial ANOVA

c) Under what circumstances will be the absolute value of the t-statistic the largest?

options: a) Small differences between means, small sample size b) Big differences between means, small sample size c) Big differences between means, large sample size d)Small differences between means, large sample size

d) Bonferroni, Holm, Tukey are all examples of (can be multiple of the following options

options 1) statistical distribution 2) inference tests 3) ANOVA terminology for variability 4)corrections for multiple comparisons

please provide the solutions and an explanation!

Consider the hypotheses shown below. Given that x =105​, σ = 26​, n = 45​, α = 0.01​,

complete parts a and b.

Upper H0​: μ = 113

Upper H1​: μ ≠113

​a) What conclusion should be​ drawn?

​b) Determine the​ p-value for this test.

2.   A rivet is to be inserted into a hole. If the standard deviation of hole diameter exceeds 0.02 mm, there is an unacceptably high probability that the rivet will not fit. A random sample of n = 15 parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s = 0.016mm. At α = 0.05 conduct a hypothesis test to investigate to indicate that the standard deviation of hole diameter exceeds 0.02 mm. To gain full credit, you should provide the following 1-8:
1.   State and check the modeling assumptions.
2.   Define the parameter of interest.
3.   State the hypotheses.
4.   Calculate the value of the test statistic. What is the distribution of the test statistic?
5.   Find the p-value using the appropriate table.
6.   State the decision and the conclusion in the context of the problem.
7.   Calculate a 95% confidence for σ and interpret your interval in the context of this problem.
8.   Use the confidence bound in part 7 to test the hypothesis.

In a survey of 2901 adults, 1495 say they have started paying bills online in the last year.

Construct a​ 99% confidence interval for the population proportion. Interpret the results.

A​ 99% confidence interval for the population proportion is

The accompanying table lists the word counts measured from men and women in 56 couple relationships. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. Use a significance level of

alphaαequals=0.010

The linear correlation coefficient r is ____

(Round to three decimal places as needed.)

Determine the null and alternative hypotheses.

(Type integers or decimals. Do not round.)

The test statistic is ____

(Round to two decimal places as needed.)

The P-value is ____

(Round to three decimal places as needed.)

Because the P-value of the linear correlation coefficient is ___ the significance level, there ____ sufficient evidence to support the claim that there is a linear correlation between words spoken by men and women in couples.

Men   Women
28,687   21,186
14,095   23,430
5,917   2,696
30,074   17,719
25,173   11,397
6,474   14,612
19,157   13,265
16,295   16,661
28,060   10,821
21,013   16,232
13,170   17,453
9,949   13,403
11,328   17,804
19,093   21,774
16,781   5,031
4,568   18,565
18,614   25,527
10,395   17,886
22,541   18,068
17,334   12,787
13,448   31,229
21,347   8,525
8,214   19,206
9,731   7,339
23,214   12,582
10,334   18,849
15,246   13,956
14,909   21,545
12,097   24,111
19,501   15,898
12,000   31,814
7,168   10,534
22,256   13,489
18,074   12,346
11,311   27,932
17,390   20,884
12,839   16,713
9,603   21,609
16,677   18,045
9,423   14,997
15,442   18,916
6,907   13,698
16,943   20,304
13,943   13,962
15,647   30,316
13,948   40,328
19,574   25,394
35,106   36,339
15,113   23,209
48,312   31,921
24,419   20,831
7,855   8,436
17,679   23,523
8,720   13,436
7,482   17,553
23,531   26,170

Ball Drop Experiment

4. You have a class of 20 students who were conducting the ball drop experiment. The data for one student, Fernando, is given below. He noticed that his experimental values to not exactly match the expected (calculated) values. He is very concerned that he did not do the experiment correctly and is upset.  

1. Calculate a χ2 score for Fernando’s data.

2. What can you tell Fernando about his data? Should this make him feel better?

3. Maria does a chi-square calculation and gets a p-value of 0.03. She is very proud that her p-value is the lowest in the class. What can you tell Maria about her data?

Use this sample of house prices and lot sizes in the Pelham Bay neighborhood of the Bronx from 2018-2019 to answer the questions below.

1. What kind of data is this?
2. For one of the series, and for 3 equally spaced non-overlapping intervals what in the interval size, the beginning, end and midpoint of each interval, the frequency, relative frequency, and cumulative relative frequency of each interval? Sketch the histogram and ogive.
3. What is the maximum, minimum, first quartile, median, third quartile, IQR, range, arithmetic mean, and standard deviation of the ungrouped data?

A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the shot must be poured into the beverage during the separation of the heart, body, and crema. If the shot is used after the separation occurs, the drink becomes excessively bitter and acidic, ruining the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot and ensure that the beverage will meet expectations. An employee at a coffee shop hypothesized that the harder the espresso grounds were tamped down into the portafilter before brewing, the longer the separation time would be. An experiment using 24 observations was conducted to test this relationship. The independent variable Tamp measures the distance, in inches, between the espresso grounds and the top of the portafilter (i.e., the harder the tamp, the greater the distance). The dependent variable Time is the number of seconds after the heart, body, and crema are separated (i.e., the amount of time after the shot is poured before it must be used for the customer’s beverage). The data can be seen below:

Tamp     Time

0.20        14

0.50        14

0.50        18

0.20        16

0.20        16

0.50        13

0.20        12

0.35        15

0.50        9

0.35        15

0.50        11

0.50        16

0.50        18

0.50        13

0.35        19

0.35        19

0.20        17

0.20        18

0.20        15

0.20        16

0.35        18

0.35        16

0.35        14

0.35        16

(a) Use the least-squares method to develop a simple regression equation with Time as the dependent variable and Tamp as the independent variable.

(b) Predict the separation time for a tamp distance of 0.50 inch.

(c) Plot the residuals versus the time order of experimentation. Are there any noticeable patterns?

(d) Compute the Durbin-Watson statistic. At the 0.05 level of significance, is there evidence of positive autocorrelation among the residuals?

(e) Based on the results of (c) and (d), is there reason to question the validity of the model?

Fair Coin? A coin is called fair if it lands on heads 50% of all possible tosses. You flip a game token 100 times and it comes up heads 41 times. You suspect this token may not be fair.

(a) What is the point estimate for the proportion of heads in all flips of this token? Round your answer to 2 decimal places.


(b) What is the critical value of z (denoted z_α/2) for a 99% confidence interval? Use the value from the table or, if using software, round to 2 decimal places.
z_α/2 =

(c) What is the margin of error (E) for a 99% confidence interval? Round your answer to 3 decimal places.
E =

(d) Construct the 99% confidence interval for the proportion of heads in all tosses of this token. Round your answers to 3 decimal places.
< p <

(e) Are you 99% confident that this token is not fair?

No, because 0.50 is within the confidence interval limits.Yes, because 0.50 is not within the confidence interval limits.    Yes, because 0.50 is within the confidence interval limits.No, because 0.50 is not within the confidence interval limits.

A racing car consumes a mean of 91 gallons of gas per race with a variance of 36. If 44 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 1.5 gallons? Round your answer to four decimal places.

A new casino game involves rolling 2 dice. The winnings are directly proportional to the total number of sixes rolled. Suppose a gambler plays the game 100 times, with 0,1 and 2 sixes observed 40, 30, 30 times respectively. Do you reject the hypothesis H0: that the dice are fair at 5% level of significance? Use the fact that P(χ2^2>5.99) = 0.05.

Sixteen laboratory animals were fed a special diet from birth through age 12 weeks. Their

weight gain (in grams) were as follows:

63 68 79 65 64 63 65 64 76 74 66 66 67 73 69 76

Can we conclude from these data that the diet results in a mean weight gain of less than 70

grams? Let α = 0.05.

Note: There are two possible ways to analyze this data. Use the statistical procedure

that makes use of the magnitudes of the differences between measures and a

hypothesized location parameter rather than just the signs of the differences.