Find the value oft within a) 90% confidence level and n = 10 b) 95% confidence level and n = 6 c) 98% confidence level and n = 5
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- Let p equal the proportion of triathletes who suffered a training-related overuse injury during the past year. Out of 330 triathletes who responded to a survey, 167 indicated that they had suffered such an injury during the past year. a) Use these data to give a point estimate of p. b)Use these data to find a 90% confidence interval for p. c) Do you think that the 330 triathletes who responded to the survey may be considered a random sample from the population of triathletes?Six measurements are taken of the thickness of a piece of 18-gauge sheet metal. The measurements (in mm) are: 1.316, 1.308, 1.321, 1.303, 1.311, and 1.310. a) Make a dotplot of the six values. b) Should the t curve be used to find a 99% confidence interval for the thickness? If so, find the confidence interval. If not, explain why not. c) Six independent measurements are taken of the thickness of another piece of sheet metal. The measurements this time are: 1.317, 1.318, 1.301, 1.307, 1.374, 1.323. Make a dotplot of these values. d) Should the t curve be used to find a 95% confidence interval for the thickness of this metal? If so, find the confidence interval. If not, explain why not.High School Band - In most US high schools, students can play an instrument in three types of bands. A random sample of high school band students was taken and the results are summarized in the table below. Instrument type Band Woodwind Brass Percussion type Concert 31 25 8. Jazz 10 16 10 Marching 65 65 27 To assess whether there is a relationship between band type and instrument type, we want to conduct an appropriate hypothesis test. Choose the null and alternative hypothesis? 1. The categorical variables band type and instrument type are independent. Alternative hypothesis 2. The categorical variables band type and instrument type are not independent. Null hypothesis
- Two intervals are given, A and B, for the same value of the explanatory variable. A: 16.9 to 24.1 ; B: 19.1 to 21.9 ; (a) Which interval is the confidence interval for the mean response?Choose the answer from the menu in accordance to item (a) of the question statement Which interval is the prediction interval for the response?Choose the answer from the menu in accordance to item (a) of the question statement (b) What is the predicted value of the response variable for this value of the explanatory variable?Enter the exact answer.The predicted value is Enter your answer in accordance to item (b) of the question statement .Two intervals are given, A and B, for the same value of the explanatory variable. A: 3 to 19 ; B: 9 to 13 ; (a) Which interval is the confidence interval for the mean response?Choose the answer from the menu in accordance to item (a) of the question statement Which interval is the prediction interval for the response?Choose the answer from the menu in accordance to item (a) of the question statement (b) What is the predicted value of the response variable for this value of the explanatory variable?Enter the exact answer.The predicted value is Enter your answer in accordance to item (b) of the question statement .A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Proctored Nonproctored 42 30 34 - 77.24 88.62 10.83 22.29 a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses? O A. Ho: H1 = H2 H4: H1 # H2 O B. Ho: H1 =H2 H1: H1>H2 O D. Ho: H1 # H2 OC. Ho: H1 = H2 H1: H156 2.) What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? A. Because the confidence interval only includes positive values and does not includes positive values and does not include zero, there is sufficient evidence to support farmer Joe's claim. B. Because the confidence interval includes zero, there is sufficient evidence to support farmer Joe's claim. C. Because the confidence interval only includes positive values and does not include positive values and does not include zero, there is not sufficient evidence to support farmer Joe's claim. D. Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.Researchers obtained the body temperature of 93 healthy humans and found the average body temperature of these 93 people to be 97.3°F. Construct a 99% confidence interval for the population mean body temperature of healthy humans. Assume the population standard deviation is 0.63°F. a) Is this a z-value or a t-value confidence interval? (Write z or t.) b) What is the z-value or t-value? c) What is the confidence interval? (, ) (Rounded to 2 decimal places.) d) Interpret this result.You recently sent out a survey to determine if the percentage of adults who use social media has: changed from SS%, which was the percentage of adults who used social media five years ago. Of the 2564 people who responded to survey, 1770 stated that they currently use social media. a) Use the data from this survey to construct a 98% confidence interval estimate of the proportioA of adults who use social media. Record the result below in the form of (#, #). Round your final answer to four decimal places. b) Can you conclude that the percentage of adults who use sdcial media has changed? Explain. O Yes, because the proportion of adults who used social media five years ago is inside of the confidence Interval. O Yes, because the proportion of adults who used soclal media five years ago İs not inside the confidence interval. O No, because the proportion of adults who used social media five years ago is inside the confidence interval. O No, because the proportion of adults who used social…
