2. The weekly load allowance of a grade 11 STEM student in an online class in Calculus is shown below together with the associated probabilities. 2 3 4 X P(x) 1 0.05 5 0.20 0.15 0.20 0.40 Find the mean and the variance.
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- A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =Suppose a sample of n = 160 observations has a mean of 13.6 and a variance of 6.8. If each value in the sample is multiplied by 4 and then 20 is added, what would be the variance of the new sample values?Need help with parts (a) to (d) on this Intro to Probability and Statistics homework problem. Make sure the answers you provide are lengthy. Don't give short answers. Also, make sure your handwriting is neat and readable. Statistically speaking, the typical romantic couple spends 3 hours of qualitytime together each day, with a variance of 1.5 hours. During my teenageyears, I was under the assumption that a friend and I were a couple, but sherecently pushed back on that claim. So, I logged our time spent together over aperiod of 92 days. As it turned out, we spent 2.65 hours together on a typicalday, again with a variance of 1.5 hours. Assuming that all of the time we spendtogether is “quality” and that relationship time spent is governed by the normaldistribution, do I have sufficient statistical evidence to claim that we were, infact, in a romantic relationship? (a) Find and interpret the z-score of our time spent together, specificallyreferencing what information the sign…
- Suppose the variance of X is 14. What is the variance of .47X?Part I A bakery sells homemade bread by the loaf and sales are uniformly distributed between 200 and 600 loaves per day. a. Find the probability of selling 240 loaves on a given day. b. Find the probability of selling between 250 and 260 loaves per day Part II The golf balls produced by TruGolf have a mean distance of 250 meters and a variance of 625 meters. c. How large a sample of TruGolf balls should be taken if they want to estimate with 90% confidence the mean distance to within 8 meters? d A random sample of 40 balls from TruGolf are selected. Find the Bound of Error when the confidence level is 95% for TruGolfA medical researcher wants to test whether the mean cholesterol levels are the same for 3 treatment groups of subjects (with 18 total randomly selected subjects): those who take a new medication, those who follow a diet, and those who make no changes to medication or diet. They plan to use a 5% level of significance for their decision. Below is a partial Analysis of Variance table. Use it to answer the following questions deg of freedom Sum of Squares Mean Square F statistic Treatment Group 3.121 1.5607 Error 1.517 0.1011 Total 17 What are the degrees of freedom for the treatment groups? What are the degrees of freedom for the error? What is the F-statistic for this data (3 decimal places)
- The population variance of the data set provided below is 19. Find k. 1.3k 1.6k 2.2k 2.9k 3.5k without giving the answer how do i use the population variance to find my misisng values?For a marketing class term project, Bob is investigating whether college seniors eat lessfrequently in fast-food chains than college freshmen. He asked 11 freshmen and 11 seniors tokeep track of how many times they ate in a fast-food restaurant during the month of October.Assuming equal variances, can you conclude that the mean is significantly smaller for collegeseniors at the 5 percent level of significance?Seniors Freshmen10 165 919 1615 145 1810 1018 198 1520 97 178 20A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01. Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Minneapolis Cleveland 70.1 66.1 69.5 65.9 65.7 61 71.7 62.8 62 67.9 75.3 74.5 63.2 69.1 62 72.5 76.9 80.4 71.3 72.7 70.9 70.4 70.5 76.6 65.1 62.2 76.2 66.1 70.3 86 69.5 81 80.2 68.3 74.3 63.3 70.7 64.6 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal…
- Part 1. .If b = 0.523, then for every 1 unit increase in the independent variable, there is a 0.523 unit increase in the dependent variable. True or false? 2. .If b = .704, then 70.4% of the variance in the dependent variable can be explained by the variance in the independent variable. In contrast, 29.6% of the variance in the dependent variable can be explained by outside factors. True or false? 3. .If r = 0.444, then for every 1 unit increase in the independent variable, there is a 0.444 unit increase in the dependent variable. True or false?As a marketing class term project, Jim is investigating whether senior students eat less frequently in fast-food chains than college freshmen. He asked 11 freshmen and 11 seniors to keep track of how many times they ate in a fast-food restaurant during the month of November. Assuming equal variances unknown, do a left-tailed test of Hypothesis whether he conclude that the mean is significantly smaller for college seniors than freshmen at the 5% level of significance. [Freshmen(F) -> 11 18 12 7 16 20 15 14 17 9 16 Senior(S) => 5 13 15 5 10 8 9 8 19 7 18 a) Carry out the hypothesis test above and draw the conclusion of the test, where S-mean = 10.64, F-mean = 14.09, S-variance = 24.25, F-variance = 15.69 b) What is the p-value for left-tailed test in a) -> used by z table (use up to 2nd decimal point value of tr, in a).