You wish to test Ho:μ = 53.2 versus Ha:μ > 53.2 at a significance level of 0.01. You obtain a sample of size 16 with a mean of 54.4 and a standard deviation of 8.2. You believe that the population is normally distributed. Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? 0.585 Using your answer from the previous question, find the p-value. What is the critical value for this test? Part 2 of 3

The mean number of eggs per person eaten in the United States is 252 and the standard deviation is 68. Do college students eat more than the average? The 45 college students surveyed averaged 281 eggs per person. What can be concluded at the 0.05 level of significance? H0: = 252 Ha: _____________ 252 Test statistic: __________    p-Value =__________                    Reject/Fail to reject H0?______________         Conclusion: There is____________   evidence to make the conclusion that the population mean number of eggs consumed college students per year is more than 252 eggs per student per year. p-Value Interpretation: If the mean number of eggs consumed per year for college students is equal to_________  and if another study was done with a new randomly selected group of 45 college students, then there is a ____________ percent chance that the average number of eggs consumed per year for this new sample would be greater than_____________        . Level of significance…

Researchers sampled fish from a lake and measured the lengths (mm) of all individuals of two species, bream and perch. They were interested in testing whether there was a difference in the mean lengths of the two species in the lake. Based on the output below, what would be the correct conclusion to draw?   Mean n Std deviation Std error of mean Bream 531.00 6 309.60 126.39 Perch 154.82 11 78.76 23.75  options:   Bream are significantly larger on average than perch in this lake.   There is no significant difference in average sizes of the two species of fish from this lake.   The variances are different so it is not possible to do a statistical test comparing means.   Perch are significantly larger on average than bream in this lake.

In the 1992 presidential election, Alaska's 40 election districts averaged 2002 votes per district for President Clinton. The standard deviation was 566. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.  Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.

Consider the following data: −10, −10, 0, 3, −10, 3, 3  Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.

Suppose a set of data has a sample mean of 112 and a sample standard deviation of 8.3. What is the z-score for the value 127.8? Round the z-score to two decimal places.   Your Answer:

Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Lincoln, Nebraska, equal to $10,500? To decide, you select a random sample of entry level architects from each city. The results of each survey are shown. Assume the population standard deviations are o₁ =$6511 and 2 = $6192. At a = 0.01, what should you conclude? Entry level architects Entry level architects in Denver, CO x₁ = 58,300 n₁ = 39 In Lincoln, NE x2 = 54,240 n2 = 30 What are the null and alternative hypotheses for this test? OA. Ho: H₁₂ = 10,500 Ha: H₁-H2*10,500 OD. Ho: P₁-H2>10,500 Ha: H1-H₂s 10,500 Calculate the standardized test statistic. z= (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) What can you conclude about the data? OB. Ho: H1 H2S 10,500 Ha H1-H2>10,500 OC. Ho: H1 H2210,500 Ha H1-H2 <10,500 OE. Ho: H1 H2*10,500 Ha: 1-2=10,500 OA. Reject Ho. At the 1% level of significance, there is…

After 84 students at a particular university take a psychological evaluation, the sample mean score on the test is calculated to be 117 with a standard deviation of 44. We are interested in testing whether or not the mean score of the students at this university is different than the published population average of 112. Calculate the value of the test statistic and then use that to determine the appropriate p-value. 0.5952 0.2976 0.1488 0.8512 1.7024 0.1488 0.0744

When members of a philanthropic organization send out a fundraising letter, they get a return from about 7% of the people on their mailing list. They simulated 1000 mailings for samples of size n with success rate p = 0.07. The sample statistics from each simulation are shown in the table. Complete parts (a) through (d) below. Click the icon to view histograms of the simulations. n 20 theoretical standard deviation n 20 50 100 200 a) According to the Normal model, what should the theoretical mean and standard deviations be for these sample sizes? Complete the following table. theoretical mean 50 100 200 (Round to four decimal places as needed.). mean 0.0699 0.0708 0.0705 0.0693 standard dev. 0.0567 0.0366 0.0256 0.0179