6. A sample of 5 fathers and their eldest sons gave the following data about their weight in Kgs. Father (x): Son (y): 65 60 67 63 74 49 45 57 40 60
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- The accompanying data represent the miles per gallon of a random sample of cars with a three cylinder 1.0 liter engineA statistics student wanted to investigate the weights of bags of a popular chocolate candy. The data for the weights of the bags, in ounces, are given below. 1.78 1.67 1.86 1.72 1.69 1.78 1.75 1.74 1.7 Which of the following boxplots correctly displays the data?What is the zscore for: data= 31 mean =39 Sx= 3.7 O 2.16 O -2.16 О 3.7 O -3.7
- Biologists caught and measured 215 fish from the northern Atlantic Ocean. The lengths of the fish (in cm) are summarized in the histogram. 40 35 30 25 20 15 10 5 15 30 45 60 75 90 105 120 length of fish (cm) About what percentage of fish caught in this study had lengths between 45 cm and 75 cm? % FrequencyStudies suggest that women who smoke during pregnancy affect the birth weights of their newborn infants. To study this issue further, a sample of 10 women smokers were asked to estimate the average number of cigarettes they smoke per day. In the following table are their estimates and the birth weight (in kgs) of their child. Average Number of Cigarettes per day Birth Weight of Child (in kilograms) 22 2.91 16 3.27 4 3.68 19 3.14 42 2.32 8 3.82 12 3.45 30 2.95 14 3.00 16 3.68 (b) Use R-Studio to find the least squares estimate of the linear model that expresses the birth weight of a child as a linear function of the average number of cigarettes mom consumes in a day. Use four decimals in each of your answers.Y^i = ? + - Xi(e) A expecting mother, who smokes, claims to smoke an average of 20 cigarettes in a day. Predict the weight of her newborn. Use two decimals in your answer.kilograms(f) The weight of the child born to the expecting mother mentioned in (e) was…A researcher collected how many grams of fat people on a specific diet consumed at breakfast and at lunch. The data for a sample of 8 people is shown in the table below. xx 11.3 8.2 7.2 3.6 2.3 2.5 2.7 0.4 yy 13.7 10.7 10.2 7.2 6.3 6.5 6.1 4.1 xx = grams of fat in breakfastyy = grams of fat in lunchThis data can be modeled by the equation ˆy=0.84x+4.07.y^=0.84x+4.07.Given this, how many grams of fat in lunch would be expected for a person who consumed 1.2 grams of fat at breakfast? Round to 1 decimal place.Answer =
- 2. The level of dissolved oxygen in a river is an important indicator of the water's ability to support aquatic life. You collect water samples at 15 randomly chosen locations along a stream and measure the dissolved oxygen. Here are your results in milligrams per liter. 4.53 5.04 3.29 5.23 4.13 5.50 4.83 4.40 5.42 6.38 4.01 4.66 2.87 5.73 5.55 Construct and interpret a 95% confidence interval to estimate the mean dissolved oxygen level in the stream.A company's price/earnings (P/E) ratio is the company's current stock price divided by the latest 12 months' earnings per share. Suppose the following table shows the P/E ratios for a sample of 10 Japanese companies and 12 U.S. companies. Japan P/E Ratio 152 28 19 127 38 212 65 664 32 69 United States P/E Ratio 16 25 25 42 23 Find the value of the test statistic. W = 15.16 X 15 28 15 28 39 17 15 Is the difference between the P/E ratios for the two countries significant? Use the MWW test and α = 0.01 to support your conclusion. State the null and alternative hypotheses. Ho: The two populations of P/E ratios are identical. H₂: The two populations of P/E ratios are not identical. O Ho: Median for Japanese companies - Median for U.S. companies 20 H₂: Median for Japanese companies - Median for U.S. companies 0 O Ho: Median for Japanese companies - Median for U.S. companies > 0 H₂: Median for Japanese companies - Median for U.S. companies = 0 O Ho: The two populations of P/E ratios are not…A company's price/earnings (P/E) ratio is the company's current stock price divided by the latest 12 months' earnings per share. Suppose the following table shows the P/E ratios for a sample of 10 Japanese companies and 12 U.S. companies. Japan P/E Ratio 152 28 19 127 38 212 65 664 32 69 United States P/E Ratio 16 25 25 42 23 15 Find the value of the test statistic. W = 16 X 28 15 28 39 17 15 Is the difference between the P/E ratios for the two countries significant? Use the MWW test and a = 0.01 to support your conclusion. State the null and alternative hypotheses. O Ho: The two populations of P/E ratios are identical. H₂: The two populations of P/E ratios are not identical. O Ho: Median for Japanese companies - Median for U.S. companies > 0 H₂: Median for Japanese companies - Median for U.S. companies 0 O Ho: Median for Japanese companies - Median for U.S. companies > 0 H₂: Median for Japanese companies - Median for U.S. companies = 0 O Ho: The two populations of P/E ratios are not…
- Listed below are pulse rates (beats per minute) from samples of adult males and females. Find the mean and median for each of the two samples and then compare the two sets of results. D there appear to be a difference? Male: Female: 86 71 54 84 57 95 53 89 53 63 59 82 53 91 88 72 68 85 87 90 91 88 70 92 77 63 94 82 86 64 Find the means. The mean for males is 71.9 beats per minute and the mean for females is 80.6 beats per minute. (Type integers or decimals rounded to one decimal place as needed.) Find the medians. The median for males is 71 beats per minute and the median for females is 85 beats per minute. (Type integers or decimals rounded to one decimal place as needed.) Compare the results. Choose the correct answer below. OA. The mean and median appear to be roughly the same for both genders. OB. The mean and the median for males are both lower than the mean and the median for females. OC. The mean and the median for females are both lower than the mean and the median for males.…Listed below are pulse rates (beats per minute) from samples of adult males and females. Find the mean and median for each of the two samples and then compare the two sets of results. Does there appear to be a difference? Male: Female: 86 71 54 84 57 95 53 89 53 63 59 72 68 85 87 90 91 88 70 92 77 63 82 53 91 88 94 82 86 64 Find the means. The mean for males is ☐ beats per minute and the mean for females is (Type integers or decimals rounded to one decimal place as needed.) beats per minute.The following data represents the weight in kg of :a product 1 6 2 7 2 1 4 5 1 3 :Find :Mean 3.9 4.1 3.2 3.8 :Median 3.5 4.5 4.0 2.5 :Mode