The following hypothesis is being tested: Ho: H= 30 vs. H1: #30, data points yields a sample mean of 30.36 and a sample standard deviation of 1.6. What is the p-value or observed significance level for this test? .05 O 0.0359 O 0.0718 O 10
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- You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:p = 52.9 Ha:u 52.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 29 with mean M = 58.2 and a standard deviation of SD = 12.3. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the nullA College Alcohol Study interviewed an SRS of 1000 college students about their drinking habits. Suppose that half of all college students "drink to get drunk" at least once in a while. That is sample proportion, p-hat = 0.5. %3D 8. What is the standard deviation of the proportion p-hat of the sample who drink to get drunk? Round the number to nearest thousandth. O.065 O.005 O 0.016 O0.032The amount of flour in a 10 pound bag of Queen Asha flour is normally distributed with a mean of 10 pounds and a standard deviation of 0.05 pounds. A sample of 12 bags of Queen Asha flour have the following weights: 10.03 10.02 9.98 9.99 9.99 10.01 10.02 9.96 9.94 9.98 9.99 10.00 Use this data with ? = 0.02 to test the claim that the standard deviation of weights is less than 0.05 pounds. (a) Which distribution is appropriate to use here? ---Select--- standard normal distribution chi-square distribution Student's t distribution (b) What type of test is necessary? ---Select--- left-tailed right-tailed two-tailed (c) The sample test statistic is (round to two decimal places)(d) The P-value is (round to four decimal places)(e) We ---Select--- reject fail to reject the null hypothesis, and conclude that at the ---Select--- 1% 2% 5% level of significance, there is ---Select--- sufficient insufficient evidence to conclude that…
- In a group of 20 health insurance policyholders diagnosed with cancer, each policyholderhas probability 0.80 of receiving radiation and probability 0.35 of receiving chemotherapy.Radiation and chemotherapy treatments are independent events for each policyholder, andthe treatments of different policyholders are mutually independent. The policyholders inthis group all have the same health insurance that pays 2 000 for radiation treatment and3 0000 for chemotherapy treatment.Calculate the variance of the total amount the insurance company pays for the radiationand chemotherapy treatments for these 20 policyholders.Use z scores to compare the given values. Bannd on sample data, newbom males have weights with a mean of 3293.8 g and a standard deviation of 567.1 g. Newbom females have weights with a mean of 3075.9g and a standard deviation of 602.3 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g? Since the z score for the male is z=and the z score for the female is z=, the V has the weight that is more extreme. (Round to two decimal places.)need help on these
- Studies show that gasoline use for cars is normally distributed, with a mean of 25.5 miles per gallon (mpg) and a standard deviation of 4.5 mpg. What percentage of compacts get A. less than 24 mpg? B. 30 mpg or more? C. between 20 and 28?Please answer what you canScores on a statistics final in a large class were normally distributed with a mean of 73 and a standard deviation of 6. Use the empirical rule to answer the following questions. a. Estimate the proportion of the scores less than 67. b. Estimate the proportion of the scores more than 85. c. Estimate the proportion of the scores between 61 and 79.
- When you purchased your car, the dealer told you that your average gas mileage on your car was 30mpg, but you suspect that is might be lower than that. You conduct a sample over 30 days, and find that your sample average is only 28 mpg, with a standard deviation of 8.2 mpg. You conduct a hypothesis test, and find a P-value of 9.6%. What are your conclusions? Use an a level of 5% O Reject H, and accept H4. You have strong evidence that your car does get less than 28 mpg, on average. O Accept H.. You have strong evidence that your car gets 28 mpg, on average. O Reject H4. You have strong evidence that your car gets more than 28 mpg, on average. O Fail to reject Ho. You do not have strong evidence that your car gets less than 28 mpg, on average.Currently patrons at the library speak at an average of 65 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 40 people speaking at the library. Their average decibel level was 61.8 and their standard deviation was 20. What can be concluded at the the a 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer V C. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean has not significantly decreased from 65 at a = 0.01, so there is statistically significant evidence to conclude that aie population mean decibel level at the…You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho:u = 84.1 Ha:u > 84.1 %3D You believe the population is normally distributed, but you do not know the standard deviation. obtain a sample of size n = 5 with mean M = 95.5 and a standard deviation of SD = 8.8. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null