In the following table, The independent variable is_______________ , and the dependent variable is_____________ What is the null and the alternative hypotheses?  Running a chi-square analysis, you obtain a chi-square value of 22.9 with a significance level of <0.000, which hypothesis (null or alternative) should you, therefore, choose as correct?  Can you estimate a directionalmeasure of association between these two variables? Why or why not?

                                                                                   Sex

what is the Calculation.  of the test statistic for a Chi-Square test for independence using the chart above?

Conduct an appropriate hypothesis test using the provided information
[Neatly show all steps / necessary calculations, including both a complete comparison & interpretation statement AND plain English inference statement].

The National Center for Health Statistics reports that the mean total cholesterol level for all adults in the US last year was 203 with a population standard deviation of 36. In a sample of participants (n=3539) undergoing a dietary intervention clinical trial, the mean total cholesterol was 198. Using alpha = .05, is there a statistically significant difference between the study participants and the national average?

Suppose you have a sample of 36 observations with the sample mean = 2 and the sample standard deviation = 7. Compute the t-statistic corresponding to these values for the null hypothesis that mean = 0. Test two-sided alternative hypothesis that mean 6= 0. Do you reject the null hypothesis at p = 0:05? At p = 0:01? If the sample size is reduced to 25, do you get the same conclusions?

Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 15 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 ​oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.95oz and 12.67​oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.18 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.18 oz. Use a 0.025 significance level. Complete parts​ (a) through​ (d) below.

Previous research states, "no evidence currently exists supporting or refuting the use of electric fans during heat waves" in terms of mortality and illness. Counterintuitively, Public Health guidelines suggest not using fans during hot weather, with some research reporting the potential of fans accelerating body heating.

You decide to research further this seemingly contradictory guidance, hypothesizing that the true population average core body temperature amidst higher ambient temperature and humidity levels while using an electric fan is greater than 95 degrees Fahrenheit (°F) and you set the level of significance at 10% for your formal hypothesis test. You randomly sample 10 participants based on your research funding and for 45 minutes, the study participants sit in a chamber maintained at a temperature of 108°F (i.e., 42 degrees Celsius) and a relative humidity of 70%. After the first 45 minute warming period, for each participant you place a personal sized electric fan 3 feet away with its airflow directed at a given participant's chest area, and the participants relax in this position for the next 45 minutes. At the end of this 45 minute fan period, you record the core body temperature of all participants. The following table comprises the data you collect.

Per Step 4 of the 5-Steps to Hypothesis Testing, compute the test statistic using the appropriate test statistic formula.

Please note the following: 1) you may copy and paste the data into Excel to facilitate analysis and 2) do not round your numerical answer that you submit as the online grading system is designed to mark an answer correct if your response is within a given range. In other words, the system does not take into account rounding. On the other hand, rounding is preferable when formally reporting your statistical results to colleagues.

Profitability remains a challenge for banks and thrifts with less than​ $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets​ (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA​ (%), the efficiency ratio​ (%), as a measure of bank productivity​ (the lower the efficiency​ ratio, the​ better), and total​ risk-based capital​ (%), as a measure of capital adequacy. Complete parts​ (a) through​ (g) below.

a. State the multiple regression equation.

Let X1i represent the efficiency ratio​ (%) and let X2i represent the total​ risk-based capital​ (%).

Yi=( )+(    ) X1i+ ( ) X2i

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

How is this solved in excel? thanks

Confidence in banks: A poll conducted in 2012 asked a random sample of 1342 adults in the United States how much confidence they had in banks and other financial institutions. A total of 143 adults said that they had a great deal of confidence. An economist claims that less than14% of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both =α0.10 and =α0.01 levels of significance and the P-value method with the TI-84 Plus calculator.

(b) Compute the P-value. Round the answer to at least four decimal places.

P-value= ___

A study investigated whether regular mammograms resulted in fewer deaths from breast cancer over a period of 16 years. Among 30,636 women who never had​ mammograms, 196 died of breast​ cancer, while only166 of 30,223 who had undergone screening died of breast cancer.

​a) Do these results suggest that mammograms may be an effective screening tool to reduce breast cancer​ deaths?

​b) If your conclusion is​ incorrect, which type of error did you​ commit?

My Research Methods class (N = 14) was interested in whether studying alone or in groups would result in better grades on their third exam. Half of the class (n = 7) studied for the exam alone, while the other half (n = 7) studied as a group. Their grades are summarized in the below tables:

Using the above data, answer the following questions

1. Which type of t-test (one-sample, independent samples, related samples) is appropriate for determining if those that that studied in a group earned better or worse grades than those who studied alone? Why?

2. State the alternative and null hypotheses (using the statistical notation for stating mathematical relationships) that represents the prediction that those who studied in a group will obtain grades that are, on average, different from that of those who studied alone.

3. Calculate pooled variance, standard error of the difference, and t_obt.

4. Using an alpha of 0.05, what is t_crit? Would you reject or fail to reject the null hypothesis? Why?

The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in table #9.2.6. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level. Table #9.2.6: Traffic Count Dates 6th 13th 1990, July 139246 138548 1990, July 134012 132908 1991, September 137055 136018 1991, September 133732 131843 1991, December 123552 121641 1991, December 121139 118723 1992, March 128293 125532 1992, March 124631 120249 1992, November 124609 122770 1992, November 117584 117263

Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data.

ŷ = b₀ + b₁x

1. A sample of 20 items provides a sample standard deviation of 5.

a. Compute the 90% confidence interval estimate of the population variance. (2pts)                                                                              

b. Compute the 95% confidence interval estimate of the population variance.(2pts)                                                                                 

c. Compute the 95% confidence interval estimate of the population Standard Deviation.(2pts)

2. The variance in drug weights is critical in the pharmaceutical industry. For a specific drug, with weights measured in grams, a sample of 18 units provided a sample variance of s2 = 0.36.  

a.Construct a 90% confidence interval estimate of the population variance for the weight of this drug.(2pts)     

b.Construct a 90% confidence interval estimate of the population standard deviation.(2pts)

a box of 400 ipads has 50 defective and the rest are good quality. A sample of 20 ipads is selected at random without replacement. Find the probablity that of the sample selected:

(a) there is exactly 1 defective calculator.

(b) there is at least 1 defective calculator.

(c) there is at most 1 defective calculator

2. M&M’s are delicious. “They melt in your mouth, not in your hand.” According to the M&M’s company, their most popular color is blue.

(a) You open regular pack of M&M’s find that 14 of the 80 candies are red. Construct and interpret a 95% confidence interval for the proportion of red M$M’s candies.

(b) N&N’s is another candy company selling candy coated chocolates. Their slogan is “They melt where it’s warm, so put them in your mouth.” They are being sued by M$M’s for copyright infringement. In their defense, the N$N’s company claims that their proportion of blue candies is much larger than 24% (the proportion for blue M$M’s). As an expert witness, you pick a random sample of N&N’s candies and found 71 out of 240 were blue. Does this provide statistically significant evidence for N&N’s claim?