The manager of a pharmacy wants to know if prescriptions are filled uniformly over the 7 days of the week. The manager takes a simple random sample of 245 prescription receipts and finds that they are distributed as follows:

a. Which of the following is the appropriate null hypothesis for this test?

1. H₀: p₁ = p₂ = p₃ = p₄ = p₅ = p₆ = p₇ = 1/7
2. H₀: p₁ = p₂ = p₃ = p₄ = p₅ = 5/7 and p₆ = p₇ = 2/7
3. H₀: p₁ = 0.17, p₂ = 0.13, p₃ = 0.13, p₄ = 0.12, p₅ = 0.18, p₆ = 0.18, p₇ = 0.09
4. None of the above

b. Under the null hypothesis of a uniform distribution of prescriptions over the 7 days of the week, the expected count of prescriptions for Monday is _____________ (show calculation).

c. Under the null hypothesis of a uniform distribution of prescriptions over the 7 days of the week, the chi-square contribution for Monday is _________________ (show calculation).

d. Under the null hypothesis of a uniform distribution of prescriptions over the 7 days of the week, the degrees of freedom for the chi-square test is _______________. (show calculation).

e. What is the chi-square statistic for testing this null hypothesis of a uniform distribution of prescriptions over the 7 days of the week (show calculation)?

a. 1/7

b. 3.5

c. 13.8

d. 24.5

f. What is the P-value for testing this null hypothesis of a uniform distribution of prescriptions over the 7 days of the week? Specify the distribution used and all relevant parameters.

g. Using a significance level of 0.05, what is the appropriate conclusion for this test?

1. All 7 days of the week have different prescription rates.
2. There is significant evidence that prescriptions are not uniformly distributed over the 7 days of the week.
3. Weekdays and weekends have significantly different prescription rates.
4. The data are consistent with prescriptions being uniformly distributed over the 7 days of the week.

h. What can we state about the chi-square test in this situation?

a. The test is valid because the sample size is large.

b. The test is valid because the sample is random and the observed counts are large enough.

c. The test is valid because the sample is random and the expected counts are large enough.

d. The test is not valid because we do not know the true population proportions.

i. Which of the following statements about a chi-square hypothesis test is true?

1. When observed counts are far from expected counts, we have evidence against H₀.
2. Large values of χ² indicate evidence against H₀.
3. Expected counts are hypothetical, and do not have to be whole numbers.
4. All of the above

j. Under which of the following conditions can a large P- value arise?

1. H₀ is indeed true.
2. H₀ is not actually true, but too close to the real population distribution for us to tell them apart statistically.
3. H₀ is definitely not true, but the sample size is too small or the variability is too great to reach significance.
4. All of the above

I'm completely lost can someone really break it down in English with how to answer each

For each question, draw the appropriate picture, with shading. Then show all calculations and write a sentence for your answer.

The weight of new-born babies in the US is normally distributed with a mean of 7.5 pounds and a standard deviation of 2 pounds.

What percentage of new-born babies in the US weighs more than 7.5 pounds?

What is the probability that a new-born baby in the US weighs more than 9.5 pounds?

What is the chance that a new-born baby in the US weighs less than 3.5 pounds?

What is the probability that a new-born baby in the US weighs between 3.5 pounds and 9.5 pounds?

Five hundred seventeen (517) homes in a certain southern California community are randomly surveyed to determine if they meet minimal earthquake preparedness recommendations. One hundred seventy-one (171) of the homes surveyed met the minimum recommendations for earthquake preparedness and 346 did not.

Find the confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness. (Round your answers to three decimal places.)

( _____ , _______ )

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 12 engines and the mean pressure was 5.9 pounds/square inch with a variance of 0.81 . A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

reject Ho if T> ?

A random sample of size 16 from a normal distribution with known population standard deviation � = 3.1 yields sample average � = 23.2.

What probability distribution should we use for our sampling distributions of the means?

a) Normal Distribution

b) T-distribution

c) Binomial Distribution

d) Poisson Distribution

What is the error bound (error) for this sample average for a 90% confidence interval?

What is the 90% confidence interval for the population mean?

The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 25. What is the probability we could select a sample of 25 adults and find the mean of the sample is more than 110?

Suppose the average GPA of all chemical engineering majors is normally distributed with  μ = 3.47 and σ  = 0.24. What is the probability that the sample mean from a random sample of the GPAs of 16 chemical engineering majors would be greater than 3.5444?

In a past​ election, the voter turnout was 69%

In a​ survey, 930 subjects were asked if they voted in the election.

a. Find the mean and standard deviation for the numbers of voters in groups of 930

b. In the survey of 930 ​people 621said that they voted in the election. Is this result consistent with the​ turnout, or is this result unlikely to occur with a turnout of 69​%?

Why or why​ not?

c. Based on these​ results, does it appear that accurate voting results can be obtained by asking voters how they​ acted?

The Centers for Disease Control reported the percentage of people 18 years of age and older who smoke (CDC website, December 14, 2014). Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of .30.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02 (to the nearest whole number)? Use 95% confidence.

b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population (to 4 decimals)?

c. What is the 95% confidence interval for the proportion of smokers in the population (to 4 decimals)?

( ,  

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

What percentage of your campus student body is female? Let p be the proportion of women students on your campus.

(a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p̂ will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.)
_____ students

(b) A report indicates that approximately 54% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.)
______ students

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

A random sample of 5535 physicians in Colorado showed that 3386 provided at least some charity care (i.e., treated poor people at no cost).

(a) Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. (Round your answer to four decimal places.)


(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.)

Give a brief explanation of the meaning of your answer in the context of this problem.

99% of the confidence intervals created using this method would include the true proportion of Colorado physicians providing at least some charity care.

1% of all confidence intervals would include the true proportion of Colorado physicians providing at least some charity care.

99% of all confidence intervals would include the true proportion of Colorado physicians providing at least some charity care.

1% of the confidence intervals created using this method would include the true proportion of Colorado physicians providing at least some charity care.

(c) Is the normal approximation to the binomial justified in this problem? Explain.

No; np > 5 and nq < 5.Yes; np < 5 and nq < 5.    No; np < 5 and nq > 5.Yes; np > 5 and nq > 5

The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars: 22 23 35 38 49 Number of Bids 3 4 5 6 8

1. Find the estimated slope. Round your answer to three decimal places. 2. Find the value of the coefficient of determination. Round your answer to three decimal places. 3.Find the estimated y-intercept. Round your answer to three decimal places 4.Determine the value of the de[endent variable of ^y at x=0 5.According to the equation of the regression line, if the independent variable is increased by one unit what is the change in the dependent variable y? 6.Not all points predicted by the linear model fall on the same line True or False

Do male and female servers at Swank Bar work the same number of hours? A sample of 65 female servers worked an average of 30 hours per week, with a standard deviation of 2. A sample of 65 male servers worked an average of 28 hours per week, with a standard deviation of 4.


Let μ1μ1 and μ2 represent the typical number of hours worked by all female and male servers at Swank Bar, respectively. Estimate with a 87% confidence level how many more hours female servers work. Round answers to the nearest hundredth.
< μ1−μ2 <

Which of the following does your data suggest?

• Female and male servers work about the same number of hours
• Male servers work more hours
• Female servers work more hours

What are some of the mistakes commonly made in Structural Equation Modeling (SEM)?

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 47 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.80 ml/kg for the distribution of blood plasma.

(a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)

(b) What conditions are necessary for your calculations? (Select all that apply.)

σ is unknown

the distribution of weights is uniform

the distribution of weights is normal

n is large

σ is known

(c) Interpret your results in the context of this problem.

1% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.    99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.

(d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.90 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
male firefighters