A random sample of starting annual salaries for Lecturers from 2 Ghanaian universities is shown below (in thousands of GHc):

Formulate the hypotheses to determine if KNUST Lecturers are paid less than UG Lecturers?

Justify using both the critical value and p-value approaches. Assume alpha=5%

In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all residents. A key component of these rules is that residents should work no more than 80 hours per week. The following is the number of weekly hours worked in 2017 by a sample of residents at the Tidelands Medical Center.

A simple random sample of checks were categorized based on the number of cents on the written check and recorded below.

Cents Category   0¢-24¢   25¢-49¢   50¢-74¢   75¢-99¢
Frequency          58        37        28        17

Use the critical value method and a 1% significance level to test the claim that the frequencies of the cents categories of checks fit the uniform distribution.

Calculate the expected frequency of the 25¢-49¢ category.

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.

From a random sample of 74 ​dates, the mean record high daily temperature in a certain city has a mean of 84.20°F. Assume the population standard deviation is

15.06°F.

The​ 90% confidence interval is

The​ 95% confidence interval is

Estimating a Mean: Consider the frequency distribution for 22 test scores (it was a difficult exam).

(a) The class midpoint for the first class is  .

(b) The class midpoint for the second class is  .

(c) Use the frequency table to estimate the mean score. Round your answer to 1 decimal place.

x =

1.The yearly salary (in thousands of dollars) for a small company are listed below. Find the mode, mean, median and population standard deviation and use the Empirical Rule to find a 95% confidence interval.

74 46 397 75 98 67 46 96

2. From the Measures of Central Tendencies computed above, which one would you use to represent the “average” company salary. Explain your reasoning.

Zippy Shoe Co. uses a periodic inventory system. Zippy purchased 430 pairs of shoes at $69 each in June, 990 pairs in August at $71 each, and 620 pairs in December at $74 each. Zippy sold 1,895 pairs of shoes during the year.

Required:

Calculate the company's ending inventory and cost of goods sold using the each of following inventory costing methods.

1. FIFO
2. LIFO
3. Weighted Average

1- Students had a mean grade of 70% in the past. After applying a new teaching method, the following scores were recorded for a sample of 9 random students:

In order to construct a 95% confidence interval for the new mean grade, we should use:

• 1-PropZInt
• ZInterval
• 2-SampZInt
• 2-SampTInt
• TInterval
• 2-PropZInt

2-

Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence interval for a sample of size 336 with 81 successes. Enter your answer using decimals (not percents) accurate to three decimal places.

< p <

3-

A test was given to a group of students. The grades and gender are summarized below:

Let pp represent the percentage of all female students who would receive a grade of A on this test. Use a 80% confidence interval to estimate pp to three decimal places.

Enter your answer using decimals (not percents).

<p <

4-

Out of 500 people sampled, 295 preferred Candidate A.

Based on this, find a 90% confidence level for the true proportion of the voting population (pp) prefers Candidate A.

Give your answers as decimals, to three places.

<p<

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.

Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable y^ (y hat).

Step 4 of 6: Determine the value of the dependent variable y^ at x = 0.

Step 5 of 6: Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places.