You are conducting a hypothesis test where the null hypothesis is that mu is less than or equal to 850. You take a sample of size 64. Your sample average is 840, and the standard deviation is 20. Your test will be at the 0.05 significance level. What is/are the critical values for this test? Group of answer choices -1.64 and 1.64 1.96 -1.64 1.64
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- You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 18 containers. Estimate the population standard deviation at a 95% level of confidence. 11.97 12.04 12.03 12.01 12.09 11.84 11.92 12.01 11.89 11.95 12.01 11.74 11.77 12.09 12 12.18 11.96 12.06 Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 95% confidence:Lower: Upper: c) Report your confidence interval for σ: ( , )A random sample of 64 students was asked to respond on a scale from one (strongly disagree) to seven (strongly agree) to the proposition: "Cellphone helps raise our standard of living." The sample mean response was 4.60 and the sample standard deviation was 1.6. Find the minimum significance level at which we can show that the true mean is greater than 4. 1 =-T.INV(0.05,63) 2 =T.DIST(3,63) 3 =T.INV.2T(0.10,63) 4 =T.DIST.RT(2,63) 5 =T.DIST.RT(3,63)Moviegoers The average "moviegoer" sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period.A random sample of 42 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The population standard deviation is 3.2 movies. At the 0.10 level of significance, can it be concluded that this represents a difference from the national average? (a)State the hypotheses and identify the claim with the correct hypothesis. (b)Find the critical value(s). (c)Compute the test value. (d)Make the decision. (e)Summarize the results.
- You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 18 containers. Estimate the population standard deviation at a 95% level of confidence. 11.96 12.04 12.02 12.08 11.99 12.15 12.09 11.78 12.05 11.98 12.01 12.13 12.07 11.91 12.02 12.07 11.9 12.07 (Data checksum: 216.32) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 95% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 15 containers. Estimate the population standard deviation at a 98% level of confidence. 12.19 11.86 12.02 11.91 11.87 12.19 12.09 11.8 12.03 11.9 12.08 11.77 12.17 11.83 11.82 Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 98% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 17 containers. Estimate the population standard deviation at a 98% level of confidence. 11.94 11.93 12.04 11.99 12.06 11.92 11.98 12.11 11.83| 11.88 12.05 11.93 11.96 12.2 11.92 11.82 11.97 (Data checksum: 203.53) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper x critical values at 98% confidence: Lower: Upper: c) Report your confidence interval for o: (
- Moviegoers The average "moviegoer" sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 42 moviegoers from a large university revealed that the average number of movies seen per person was 10.2. The population standard deviation is 3.2 movies. At the 0.01 level of significance, can it be concluded that this represents a difference from the national average? Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Hotu = 85 Part: 1/5 not claim H₁ 8.5 claim This hypothesis test is a two-tailed ▼test. Part 2 of 5 ▼ ▼ Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): X 0.0.... + 8分民图〗b. E65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a FileYou work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 14 containers. Estimate the population standard deviation at a 95% level of confidence. 12.01 12.02 11.69 12.06 12.08 11.99 12.1 12.04 12 11.93 12.07 11.85 12.01 11.98 (Data checksum: 167.83) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 95% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )
- You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 16 containers. Estimate the population standard deviation at a 90% level of confidence. 11.98 12.11 11.88 11.99 11.89 12.02 11.84 12.05 12.13 11.94 12.31 12 12.07 12.02 12.04 12.04 (Data checksum: 192.31) Keep as many decimals as possible while making these calculations. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 90% confidence:Lower: Upper: c) Report your confidence interval for σσ: (? , ? )You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 18 containers. Estimate the population standard deviation at a 98% level of confidence. 11.98 11.99 11.96 12.09 11.79 11.96 11.87 12.1 12.16 12.03 12.04 12.11 12.12 12.15 11.95 12.23 11.95 12.12 (Data checksum: 216.6) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 98% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )0 123 ess is functioning properly. significance. 5 workers from one company But a general perception is 1 of significance mnle 6.32 Jeffery, a high school swimmer, swims the 25-yard freestyle with a mean time of 16.43 seconds without using goggles. After his father bought him goggles, Jeffery swam the 25-yard freestyle 15 times. After the 15 swims, Jeffery's mean time was 16 seconds and sample standard deviation was 2 seconds. His father thought the goggles helped Jeffery swim faster. Test his father's hypothesis using a 5% level of significance. Assume that the sample of measurements are from a normally distributed population. 6.30 suburb.