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- The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September 68 71 57 81 68 56 65 64 71 April 64 69 58 82 69 58 68 68 77 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho Hd = 0 kg 0 kg H₁…11:17 53% K (a) Identify the shape of the distribution, and (b) determine the five-number summary. Assume that each number in the five-number summary is an integer. 10 a. Choose the correct answer below for the shape of the distribution. ||| 20 O A. The distribution is roughly symmetric. B. The distribution is skewed right. OC. The distribution is skewed left. OD. The shape of the distribution cannot be determined from the boxplot. b. The five-number summary is = O LTE2Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
- Comment on the shape of the distribution: is it symmetrical? If it is not, is it positively or negatively skewed? Are there any outliers present? If so, are they of particular interest?The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 2.4 3.4 2.7 1.8 0.9 4.0 2.2 1.1 3.6 0.4 2.1 3.1 (a) Find the sample mean. x=_____ (Round to two decimal places as needed.) (b) Find the sample standard deviation. s=_____ (Round to two decimal places as needed.) (c) Construct a 90% confidence interval for the population mean μ. A 90% confidence interval for the population mean is (__, __) (Round to two decimal places as needed.)Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the giver using the given sample statistics. Claim: p#0.24; a = 0.01; Sample statistics: p = 0.22, n = 200 Can the normal sampling distribution be used? Yes, because both np and nq are greater than or equal to 5. O B. No, because np is less than 5. OC. No, because ng is less than 5. O D. Yes, because pq is greater than a = 0.01. State the null and alternative hypotheses. O A. Ho: ps0.24 H,: p>0.24 B. Họ: p=0.24 Hi p#0.24 OC. Họ: p20.24 H:p<0.24 O D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical value(s) is/are - 2.58, 2.58. (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed. Find the z-test statistic. Select the correct choice below and, if necessary, fill in…
- The sampling distribution of the mean depends on the sample size. O False O trueK Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. OA. The statement is true. OB. The statement is false. A sampling distribution is normal if either n ≥ 30 or the population is normal. OC. The statement is false. A sampling distribution is normal only if n ≥ 30. O D. The statement is false. A sampling distribution is never normal. Z-S eA teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Midterm 6.1 37.359 23 75.37 18.9 73.391 24.9 79.531 21.9 77.961 23.8 78.122 20.6 73.114 22.6 73.494 8.4 46.396 6.6 38.454 10.7 50.433 21 77.99 22.1 76.399 6 41.14 22.4 73.056 14.1 58.879 9.9 48.681 15 58.85 19.3 69.267 18 72.42 Round answers to at least 4 decimal places. a) Calculate the correlation coefficient. r= Perform a hypothesis test to see if the correlation is statistically significant. What is the p-value? b) Find the regression equation y^ = Predict the exam score for a student that scored 26.9 on their third homework assignment. c) Interpret the slope coefficient. For 2.2342 additional points on…
- A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for n = 296 randomly selected accidents. Is there reason to believe that the accident occu with equal frequency with respect to the day of the week at the a = 0.05 level of significance? E Click the icon to view the table. Distribution of accidents Day of the Week Frequency Sunday Monday Tuesday Wednesday Thursday Friday Saturday o 39 37 31 40 39 51 59 Print Done Compute the expected counts for day of the week Day of the Week Observed Count Sunday Expected Count 39 Monday 37 Tuesday 31 Wednesday 40 Thursday 39 Friday 51 Saturday 59 (Round to two decimal places as needed.) ?) Question Viewer Enter your answer in the edit fields and then click Check Answer. Check Answer Clear All parts 3 remaining MacBook Air DD 12 80 888 F9 10 F7 FS F4 esc F2 F3 F1 & 2$ % de %3D @ # 7 8 1 3 4 Y Q W E R tab J K S D ns lock く .. .- つ エThe "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). - September April 68 71 57 81 68 56 65 64 71 64 69 58 82 69 58 68 68 77 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho Hd 0 kg H₁ Hd >…View the photo(s) of the t-distribution table attached and answer the following question. Find the margin of error for the given values of c, s, and n. c=0.99, s=5, n=26 The margin of error is?
