If you found t(60) = 1.70, one tailed, what can we conclude about this results significance? A) The t obtained value exceeds the critical value at the p < 0.05 level but not the p < 0.01 level B) The t obtained value exceeds the critical value at the p < 0.05 level and the p < 0.01 level C) The t obtained value does not exceed either the critical value at the p < 0.05 level or the p < 0.01 level D) The t obtained value exceeds the critical value at the p < 0.01 level but not the p < 0.05 level
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.Test the claim, at the a = 0.01 level of significance, that a linear relation exists between the two variables, for the data below, given that y-2.097x-0.552. -3 | 4 -10-8 -5 1-1 -2 2 3 -4 9 -2 -6 -1 3. -8 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis? Step 5) Write the conclusion. HTML EditorÉ B IUA A I E E 三 x x 三三 I T 12pt ParaAn environmental chemist is performing a study of iron in atmospheric particulate measured downwind from a steel mill. She is concerned that wind velocity at the time of measurement may affect the readings. So, she decided to obtain observations on 30 randomly chosen days during the period of peak operation of the mill. She then, compares measurements taken on days when the wind is calm (velocity ≤ 5 knots) with measurements taken on windy days (velocity > 5 knots). The data are presented as the following: Table 1: Measurement of iron Calms Days Windy Days 0.68 0.74 0.88 0.25 0.29 0.3 0.43 0.45 0.5 0.89 0.97 1 0.65 0.91 0.92 0.93 0.95 1.01 1.17 1.25 1.27 0.69 0.74 0.8 0.87 0.87 0.89 8.85 1.54 0.6 1.03 1.16 By using SPSS or Minitab only: (1) Generate a descriptive table and summarize the data. (ii) Synthesize and discuss the different on the iron level between two days using boxplots. (iii) Propose the appropriate test to the study.
- Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were: Aptitude Score 0 1 2 3 4 5 Frequency 4 1 1 4 4 1 The mean (T) aptitude score: The median aptitude score: (Please show your answer to 1 decimal place.) (Please separate your answers by ',' in bimodal situation. Enter DNE The mode aptitude score: if there is no mode.) Textbook Measures of CenterUse the following data to answer question 8 - 12. A number of studies have claimed evidence that the first-born in a family is, on the whole, more likely to be "successful" than later-borns. A study along this direction compared the IQs of a random sample of 80 first-borns with those of an independent random sample of 105 later-borns. The data are summarized below: Sample size Sample mean Sample SD First-borns 80 112 7.2 Later-borns 105 108 8.0A)Test the claim, at the a = 0.10 level of significance, that a linear relation exists between the two variables, for the data below, given that y-1.885x +0.758. -5 |-3| 4 11 6 y Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis? Step 5) Write the conclusion. B) The regression line for the given data is v = -1.885x + 0.758. Determine the residual of a data point for which x = 2 and y = -4. SAMSUNG DII 96 &
- A purchasing agent obtained samples of 60 watt bulbs from two companies. He / She had the sample tested in his own laboratory for length of life with the following results: Samples from Length of life (in hours) Company A Company B 1700 and under 1900 10 3 1900 and under 2100 16 40 2100 and under 2300 20 12 2300 and under 2500 8. 3 2500 and under 2700 6. (i) Identify which company's bulbs are better in terms of average life? (ii) If prices of both types are the same, select which company’s bulbs you will prefer to collect.Imagine that you look up a critical t value in a t- table and your observed t value for a specific degress od freedom lies between two critical values in the table. To be conservative, you would select the?A)Test the claim, at the a = 0.10 level of significance, that a linear relation exists between the two variables, for the data below, given that y-1.885x + 0.758. Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis? Step 5) Write the conclusion. B) The regression line for the given data is y = -1.885x + 0.758. Determine the residual of a data point for which x = 2 and y = -4. C) Give a practical interpretation of the coefficient of determination, R2. Express R2 to the nearest whole percent. HIML Editor SAMSUNG &
- ) You are considering the relationship between annual returns on the S&P 500 index (January 31 to January 31) and annual changes in the unemployment rate. You define:S = annual % change in the S&P500 (SPX)U = annual % change in the unemployment rateYou consider the following univariate relationship:Si = b0 + b1Ui + εiYou have data on annual changes in the unemployment rate and the S&P500 (SPX) from 2002 through 2020 (19 observations) and you want to use the data to estimate the regression coefficients (intercept b0 and slope b1)You are given the following statistics: Statistic Value Cov(U,S) -0.025043 Var(U) 0.034590 E(U) -0.001530 E(S) 0.064267 TSS 0.627907 RSS 0.326368 Compute the estimated coefficients for the intercept (b0) and slope (b1) and the R2 So far in 2021, the unemployment rate has decreased by 24% (from 6.3 percent to 4.8 percent). If the unemployment rate holds steady until the end of the year, resulting in an…A coffee shop owner offers two brands of coffee, Brand "A" and Brand "B". The proportion of clients that prefer Brand "A" is 60%. Recently, the price of Brand "A" went up. The proportion of clients that buy brand "A" among the first 15 customers that enter the shop after the change in price is an estimator of the current proportion of clients that prefer Brand "A". Assume that the change in price has no effect on the preference of the clients. Then the mean squared error (MSE) of the estimator is equal to: (Give an answer of the form x.xxx, i.e. with 3 significance digits) (HINT: Carefully read the definition of MSE in Chapter 10 of the text book.)A random sample of n, 20 winter days in Denver gave a sample mean pollution index x, = 43. Previous studles show that o,- 10. For Englewood (a suburb of Denver), a random sample of n, - 19 winter days gave a sample mean pollution Index of x, = 37. Previous studies show that g, -13. Assume the pollution Index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. (a) what is the level of significance? State the null and alternate hypotheses. (b) what sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard devtations. O The standard normal. We assume that both population…