A. what type of test should be used and why?

B. Compose a null hypothesis to accompany the test. Record both a generic version (through the use symbols) and an English version (using words) – for the generic version, it may be easier to insert an equation box into the word document and type via equation

C. Compose an alternative hypothesis to accompany the test. Record both a generic version (through the use of symbols) and an English version (using words) – for the generic version

D. Compose and type the results of the test. Do you “Reject” or “Fail to Reject” the null hypothesis?

Cards: Suppose you draw one card from a single deck of cards.

(a) What is the probability that you draw an queen? Round your answer to 3 significant digits*.


(b) What is the probability that you draw a heart? Round your answer to 3 significant digits*.


(c) What is the probability that you draw the queen of hearts? Round your answer to 3 significant digits*.

...............................................
*Significant Digits: Here are some probabilities expressed to 3 significant digits.
You start counting digits from left to right starting with the first non-zero digit.

0.123      0.0123      0.00123      0.102      0.350      0.300

...............................................
Background playing card information: In a standard deck of playing cards there are 52 cards total. There are 4 suits:

hearts ♥      diamonds ♦      spades ♠      clubs ♣

Each suit has 13 values:

2  3  4  5  6  7  8   9  10  jack  queen  king  ace  

Cards: Suppose you draw two cards with replacement. Round your answers to 3 significant digits*.

(a) What is the probability of getting a queen then a queen again?
P(queen on the first and queen on the second) =  

(b) What is the probability of getting a queen then a king?
P(queen on the first and king on the second) =  

(c) What is the probability of getting a queen then a spade?
P(queen on the first and spade on the second) =  

...............................................
*Significant Digits: Here are some probabilities expressed to 3 significant digits.
You start counting digits from left to right starting with the first non-zero digit.

0.123      0.0123      0.00123      0.102      0.350      0.300

...............................................
Background playing card information: In a standard deck of playing cards there are 52 cards total.
There are 4 suits:

hearts ♥      diamonds ♦      spades ♠      clubs ♣     

Each suit has 13 values:

2  3  4  5  6  7  8   9  10  jack  queen  king  ace  

A publisher reports that 54% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 330 found that 60% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive's claim?

step 1 of 5 : State the null and alternative hypotheses.

Step 2 of 5 :  Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 5 : Specify if it is one tailed or two tailed

Step 4 of 5 :  Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 5 : Make the decision to reject or fail to reject the null hypothesis.

• Find the 80%, 95%, and 99% confidence intervals & margin error
• Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error.

A survey of 900 adults from a certain region​ asked, "What do you buy from your mobile​ device?" The results indicated that 48​% of the females and 40​% of the males answered clothes. The sample sizes of males and females were not provided. Suppose that of 300 ​females, 144 reported they buy clothing from their mobile​ device, while of 600 ​males, 240 reported they buy clothing from their mobile device. Complete parts​ (a) through​ (d) below.

a. Is there evidence of a difference between males and females in the proportion who said they buy clothing from their mobile device at the 0.1 level of​ significance? State the null and alternative​ hypotheses, where pi 1 is the population proportion of females who said they buy clothing from their mobile device and pi 2 is the population proportion of males who said they buy clothing from their mobile device. Determine the value of the test statistic. Upper Z Subscript STATequals nothing ​(Type an integer or a decimal. Round to two decimal places as​ needed.)

Determining the critical values depends on the level of​ significanceUse technology to find the critical​ values, rounding to two decimal places and state the conclusion.

b. Find the​ p-value in​ (a) and interpret its meaning.Use this information to interpret the meaning of the​ p-value.

c. Construct and interpret a 99​% confidence interval estimate for the difference between the proportion of males and females who said they buy clothing from their mobile device. Use this information and the previous results to interpret the confidence interval.

d. What are your answers to​ (a) through​ (c) if 432 males said they buy clothing from their mobile​ device? Is there evidence of a difference between males and females in the proportion who said they buy clothing from their mobile device at the 0.01 level of​ significance?

Determine the value of the test statistic. Determine the proportion of items of interest in sample​ 2, p 2.determine the value of the test​ statistic, rounding to two decimal places.

Determine the critical​ value(s) for this test of hypothesis.Find the​ p-value in​ (a) and interpret its meaning.Use the previous results to interpret the meaning of this​ p-value.

Construct and interpret a 99​% confidence interval estimate for the difference between the proportion of males and females who said they buy clothing from their mobile device.

Melons from a certain large distributor have diameters that follow an approximately normal distribution with a mean of 133 millimeters (mm) and a standard deviation of 5 mm.

a. If a melon from this distributor is randomly selected, calculate the probability that the melon will have a diameter that is greater than 137 mm.

b. Calculate the diameter of a melon such that 15 percent of this distributor’s melons have a larger diameter.

c. Suppose a customer randomly selects melons from this distributor’s inventory until he obtains a melon with a diameter that is greater than 137 mm. Calculate the probability that the first such melon is the fourth melon that the customer selects.

d. Suppose five melons are randomly selected from this distributor’s inventory and that the diameter of each selected melon is recorded.

1. Calculate the mean and the standard deviation of the sampling distribution of the mean diameter for random samples of five melons.

2. Calculate the probability that the mean diameter for a random sample of five melons is greater than 137 mm.

X ~ N(60, 12). Suppose that you form random samples of 25 from this distribution. Let

X

be the random variable of averages. Let ΣX be the random variable of sums.

Find the 20th percentile. (Round your answer to two decimal places.)

A single-sampling plan has ? = 0.01, ? = 0.01, ?2 = 0.05, and ? = 0.02. What should be the sample size ? and acceptance number ??

Data sent over the internet are broken up into electronic packets that may take a variety of different paths to reach their destination, where the original data is reassembled. Suppose the nodes in the following graph represent a series of computer hubs on the internet and the arcs represent the connections between them. Suppose the values on the arcs represent the number of packets per minute (in 1,000,000s) that can be transmitted over each arc (i.e. the bandwidth of that arc).

Implement a spreadsheet model to determine the maximum number of packets that can flow from node 1 to node 12 in 1 minute. What is the maximum flow?

Does knee height predict overall height? Since elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height (y) in centimeters, from height to the knee (x) in centimeters. Use this data to answer the following questions.

What is the mean x and standard deviation s_xof x?

What is the mean y and standard deviation s_y of y?

What is the correlation r of x and y? What does the correlation mean?

The least-squares regression line.

What is the value of the slope?

What is the value of the intercept?

What is the equation of the least-squares regression line?

What is the equation of the least-squares regression line?

What is the coefficient of determination r²AND what does it tell you about the least-squares regression line?

What is the predicted height for someone with a knee height of 46.30?

Someone with a knee height of 65 cm would be approximately 220 cm tall. Is this a good use of the least-squares regression line? Why or why not?

Question: How Much do Uber drivers make per hour?

On its blog, Uber posted a scatterplot of several thousand drivers in New York City. The scatterplot shows each's driver's average earnings per hour and the number of hours worked. A simple random sample of 27 drivers who worked 40 hours a week yielded a mean of $36.16 per hour and a standard deviation of $6.58 per hour. The original data set is in Uber Drivers.xlsxPreview the document.

We will do a hypothesis test to determine if the mean rate for Uber drivers in NYC is greater than $35.00 per hour. Use LaTeX: \alpha\:=\:0.05
α +0.05

a. Write the null and alternative hypotheses for the test.

b.In terms of the problem, describe what a Type I error would be. What is the probability of making a Type I error in this case?

c. Write two sentences checking the assumptions, one sentence for each assumption.

d. What are the degrees of freedom for the t-distribution?

e. What is the t-critical value for this test? Your answer should be rounded to three decimal places.

f.Write the decision rule for the test.

The decision rule should be of the form: If t-calc is .................. then................

g.Calculate the value of t-calc. Round your answer to three decimal places.

h. Do you reject Ho or fail to reject Ho?

Group of answer choices

Fail to Reject Ho

Reject Ho

i. Write a conclusion that a layperson could understand. Please use a complete sentence.

j. Why did we use a t-distribution instead of the normal z-distribution?

Discuss the influence of: (a) the two mean values; (b) the two standard deviations; and (c) the number of data points for each data set in the statistical analysis that seeks to determine if two mean values from two different populations are statistically equivalent (or not). Assume the same level of significance (p = 0.05) for your discussion.

How do we determine whether the actual slope of the regression line is not zero?

17. According to a survey of the top 10 employers in a major city in the Midwest, a worker spends an average of 240 minutes a day on the job. Suppose the standard deviation is 26 minutes and the time spent is approximately a bell-shaped distribution

. Approximately, ___________ percent of the workers will spend below 292 minutes a day on the job. Approximately, ___________ percent of the workers will spend between 266 and 292 minutes a day on the job ANSWERS SHOULD BE 97.72 & 13.59 BUT PLEASE SHOW WORK AND ALL POSSIBLE WAYS TO WORK PROBLEM