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- (c) After you obtain your ten observations, you compute the mean number of hours of sleep. Is this a statistic or a parameter? Why?(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.3. A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a = 0.10. Complete parts (a) through (d). Response Old Survey % 27% New Survey Frequency, f Rewards Low rates Cash back Discounts Other 110 24% 98 21% 107 7% 46 21% 64 a. State H, and H, and identify the claim. What is the null hypothesis, Ho? O A. The distribution of motivations differs from the expected distribution. O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 7% discounts, and 21% other. O C. The distribution of motivations is 110 rewards, 98 low rate, 107 cash back, 46discounts, and 64 other. What is the alternate hypothesis, H,? O A. The distribution of motivations differs from the…
- Here are the choices:Chi-SquareCorrelationRegression(a) An indicator of the value of a stock relative to its earnings is its price-carnings ratio. The following table provides the summary statistics of the price-earnings ratios for a random sample of 24 stocks, 8 cach from the healthcare, financials and real estate sectors. Sector Sample mean Sample variance Sample size Healthcare 32.65 4.23 8 Financials 30.01 3.64 8 Real estate 8 29.24 4.27 You are also given that: 3 ΣΣ m = 22,657.84. j=1 i=1 Test at the 5% significance level whether the true mean price-carnings ratios for the three market sectors are the same. Use the ANOVA table format to summarise your calculations. You may exclude the p-value.The accompanying data are x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.104 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.137 0.127 0.120 0.086 0.079 0.076 0.065 0.059 0.051 0.039 b)Calculate the equation of the estimated regression line. (Round your answers to four decimal places.) d)Calculate a point estimate of ?e. (Round your answer to five decimal places.)
- #2...Can you write out answer please n thank u3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…The normal distribution plays an important role in statistics. Write a briefdescription on each of the following aspects: i) the key features of a normaldistribution; ii) two variables which occur naturally as a normal distribution; iii) a variable where you would prefer to use the median as the measure of centraltendency.
- a) How are Guinness Beer & the student’s t-test connected? b) Make a list of the distinguishing characteristics between continuous, discrete, and frequency data. How do you know when a variable is each type? What are examples of each? c) Define what we mean by frequency data? What type of variable(s) are we talking about? Provide a clear example. d) The following gives the number of degrees of freedom of this statistic as well as the value of the statistic. For each, use the appropriate table to find the associated p-value.2.17 Global warming: A research poll asked 1297 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies. Earth is warming Not warming Don't know (or refuse) Total Conservative Republican Mod/Lib Republican 0.09 0.12 0.05 0.26 0.09 0.02 0.09 0.20 Mod/Cons Democrat 0.14 0.02 0.08 0.24 Liberal Democrat 0.18 0.03 0.09 0.30 Total 0.5 0.19 0.31 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? Omutually exclusive not mutually exclusive b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? c) What is the probability that a randomly chosen respondent believes the earth is warming given that they are a liberal Democrat? (please round to four…B. Explain the following: 1. What is a t-distribution? 2. When is a z-test and the t-test used?