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- he home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean and standard deviation keys to find and s (in percentages). (For each answer, enter a number. Round your answers to two decimal places.) = x bar =____________ %s =___________________ % (b) Compute a 90% confidence interval (in percentages) for the population mean μ of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (For each answer, enter a number. Round your answers to two decimal places.)lower limit ____________ %upper limit ____________ % (c) Compute a 99% confidence…In a study of the function of pectoral fins in fish, a graduate student examined 7 fish with the following lengths (in centimeters, cm). 30 28 29 27 31 25 29 24 Compute the mean, variance, and standard deviation for the given data.A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Observed Distribution of Colors B. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. Colored Candies in a bag C. None of these. Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 60 65 55 63 78 65…
- The X2 distribution is used for the comparison of two ______.5.50 Watching live television. A survey of 442 people aged 18 to 29 revealed that 30% watch live television every day.25 You take a random sample of 20 undergraduates from your university and ask them whether they watch live TV every day. If their rate matches the 30% rate: a. What is the distribution of the number of students who say they watch live television every day? b. What is the distribution of the number of students who say that they do not watch live television every day? c. What is the probability that no more than 2 of the 20 students in your sample say that they watch live television every day?Use the chi-square distribution for the ff. tests: The School conducted a survey regarding the shifting status of their undergraduate students. Below is the data that they have gathered: Year Level No. of students who shifted No. of students who stayed in their courses 1st 31 66 2nd 27 54 3rd 12 61 4th 26 44 At a level of significance of 0.05, is there enough evidence to believe that the year level has an effect on the shifting status of the students?
- There (is/is not) enough evidence at the ___% level of significance to (support/ Reject) the claim that the mean annual salary for senior level product engineers isThe manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random sample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months): 21 46 49 48 53 46 30 51 42 52 A USE SALT (i) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.) X = months months (ii) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance. What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: H = 48; H,: H # 48 O Ho: p = 48; H,: p # 48 O Ho: p = 48; H: p > 48 O H: H = 48; H,: µ 48 (b) What sampling distribution will you use? What assumptions…Time to Complete a Degree: A researcher wanted to determine if the mean time to complete a bachelor's degree was different depending on the selectivity of the first institution of higher education that was attended. The following data represent a random sample of 12th-graders in .1992 who earned their degree by December 2000 Highly Not Rated Open-door Nonselective Selective Selective 4.5 4.7 3.1 2.6 5.5 7.3 4.2 3.8 4.1 5.5 5.6 5.7 5.2 3.4 4.6 6.9 2.3 4.5 4.3 4.1 5.1 4.5 4 3.9 5.1 5.9 4.7 4.6 2.5 4.3 4.2 2.3 4.3 5.1 4.4 6.4 4.3 4.4 4.3 3.8 5.6 4.2 4 4.8 4.7 6 5.1 4.1 5.5 Plot the Probability plots for each treatment level. Are they (1 ?normally distributed (2 .Write the null hypothesis and the alternative hypothesis (2 Find the ANOVA table. (round to five decimal places) (3 What is your decision about the null hypothesis, consider (4 .?α -0.05 If your decision in part (4) was reject, perform Tukey test to (5 determine which pairwise means are significantly different :a = 0.05 using a…
- The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when Kthey won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 30 Actor (years) 68 25 28 31 37 23 29 37 27 34 32 34 28 52 38 38 35 Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) 31 D 45Consider the following observed weights (in kilograms) of a randomsample of 20 learners and use it to estimate the true value of theaverage weight of learners enrolled in the class. 40 45 46 48 48 50 55 55 56 5858 59 60 60 62 62 64 64 65 66 1. Compute the mean.2. Interpret the result.Compute the test statistic
