To estimate the mean amount of time children spend in physical activities daily, a researcher randomly selects 8 children and records the number of hours they spend in physical activities in one day. The numbers of hours are: 4.1, 1.2, 4.6, 2.4, 3.2, 1.8, 2.4, and 0.7. Obtain a 95% confidence interval of the mean number of hours that children spend in physical activities.
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To estimate the
a researcher randomly selects 8 children and records the number of hours they
spend in physical activities in one day. The numbers of hours are: 4.1, 1.2, 4.6,
2.4, 3.2, 1.8, 2.4, and 0.7. Obtain a 95% confidence interval of the mean number
of hours that children spend in physical activities.
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- To qualify for security officers’ training, recruits are tested for stresstolerance. The scores are normally distributed, with a mean of 62 and a standarddeviation of 8. If only the top 15% of recruits are selected, find the cutoff score.Calcium is the most abundant mineral in the body and also one of the most important. The recommended daily allowance (RDA) of calcium for adults is 800 milligrams (mg). A random sample of 18 people with incomes below the poverty level gives the following daily calcium intakes: 686, 433, 743, 647, 734, 641, 993, 620, 574, 634, 850, 858, 992, 775, 1113, 672, 879, 609 At the 1% significance level, do the data provides sufficient evidence to conclude that the mean calcium intake of all people with income levels below the poverty level is less than the RDA of 800 mg? Step 1 : Step 2: 3.Critical Value approach: 4.Conclusion:A variety of variables were measured for all tornadoes in the United States in 2017. (a) Since 1950, the proportion of tornadoes that have been F0 is 0.465. Test whether a different proportion of F0 tornadoes occur in Texas than nationally. Note: Treat the tornadoes that struck in Texas as a simple random sample of all tornadoes that struck Texas since 1950 using a 0.05 level of significance. The summarized data show that 82 of 168 tornadoes in Texas were F0 during 2017. State the null and alternative hypotheses. Họ: H1: (Type integers or decimals. Do not round.) Because the data is treated as a simple random sample; npo(1- Po) V10: and the sample size n is less than 5% of the population size, we may the normal model to test the hypothesis. The P-value is. (Type integers or decimals rounded to four decimal places as needed.) If we obtained 100 independent random samples of size 168 from the state of Texas, we would expect (Type integers or decimals rounded to three decimal places as…
- A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850 with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 705.6. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 724.4 with a standard deviation of 84.4. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α=0.05 level of significance. 1) Find: P-value 2) Make a conclusion regarding the hypothesis.A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 700.4. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 716.2 with a standard deviation of 81.1. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a= 0.05 level of significance. Identify the P-value. P-value = (Round to three decimal places as needed.) Help me solve this View an example Get more help . Check answer Clear all Type here to search O H Di 0 $ (?) 4:13 PM 6/18/2022 R T 6 a 96°F Sunny A
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