The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a new electronic component. Assume that the standard deviation of this assembly time is 3.0 minutes. After observing 136 workers assembling similar devices, the manager noticed that their average time was 23.2 minutes. Construct a 95% confidence interval for the mean assembly time.
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The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a new electronic component. Assume that the standard deviation of this assembly time is 3.0 minutes. After observing 136 workers assembling similar devices, the manager noticed that their average time was 23.2 minutes. Construct a 95% confidence interval for the mean assembly time.
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- You measure 27dogs' weights, and find they have a mean weight of 63 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, what is the maximal margin of error associated with a 95% confidence interval for the true population mean dog weight.Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 192 and the sample standard deviation was 89. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ο H: μ - 153 H: u > 153 Ο H: μ= 153 H: u = 153 Ο H μ= 153 Ha: u < 153 Ο H: μ= 153 H,: us 153 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = p-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence…Linda, a researcher in a technology company, obtained a sample of 270 smartphone owners from California. She wanted to investigate whether Californians were quicker or slower to buy the latest version of a smartphone than the people in the rest of the United States. Linda found the average number of days that Californians waited to buy the latest version of a popular smartphone to be 4. Smartphone owners in the rest of the country typically wait 6 days, with a standard deviation of 21.
- MODULE 2 2. A sample of 20 bags of the same brand of candies was selected and found a mean weight of 120 grams. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The population standard deviation is known to be 2.1 grams. Construct a 90% confidence interval for the population mean weight of the candies. 3. A survey of 200 Internet users shows that they spend an average of 2 hours and 22 minutes per day on social networking. If the margin of error is 2.2 hours at 95% confidence, construct the confidence interval. 4. Suppose that a government law office does a study to determine the time needed to complete one personal profile sheet for consultation. It randomly surveys 100 people. The sample mean is 23.6 minutes. There is a known standard deviation of 7.0 minutes. The population distribution is assumed to be normal. Construct a 95% confidence interval for the population mean to complete the form. 5. A camp counselor is interested…In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6°F with a standard deviation of 0.72 °F. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 °F. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the Z crit?Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 11.25 hours with a standard deviation of 3.3 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed. (a) Find the probability that with heavy use, the battery life exceeds 12 hours. (Round your answer to four decimal places.)(b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.) hours
- You measure 31 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 3.8 ounces. Based on this, construct a 95% confidence interval for the true population mean backpack weight.For each scenario, indicate whether the parameter of interest is one proportion , a difference in two proportions , one mean (μ), a difference in means from separate samples , or the mean difference from matched pairs data, . Each answer can be selected once, more than once, or not at all. A tire manufacturer tested the braking performance of one of its tire models on a test track, interested in how tires perform under both wet and dry pavement conditions. The company tried the tires on 18 different car models, recording the stopping distance for half of them on wet pavement and the other half of dry pavement. Student Computing Services surveys a random sample of students to compare the percent of students that have PCs to the percent of students that have Macs. Married couples are asked about the number of hours of sleep they get each night. We want to see if husbands get more sleep than their wives. 36 of 75 patients receiving a treatment experienced pain relief, while only…In 2017, the average credit score for loans that were purchased by a government-sponsored mortgage loan company was 746. A random sample of 35 mortgages recently purchased by the company was selected, and it was found that the average credit score was 758 with a sample standard deviation of 20. Complete parts a through c.
- A study was conducted to determine if there is a difference in average reading speed between students in grade 4 and grade 5. The null hypothesis is that the means are equal, and the alternative hypothesis is that the means are not equal. A sample of 25 grade 4 students had an average reading speed of 300 words per minute with a standard deviation of 40. A sample of 30 grade 5 students had an average reading speed of 325 words per minute with a standard deviation of 35. What is the t-score and p-value for this hypothesis test?Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 193 and the sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ho: μ = 153 Ha: μ> 153 Ho: μ = 153 Ha: μ = 153 Ho: μ = 153 Ha: μ ≤ 153 Ho: μ = 153 Ha: μ< 153 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence…