A hotel manager believe that the average cost of a hotel room in Muscat is more than R.O70. To test this, a researcher selects a sample of 35 hotel rooms in Muscat and finds that the average cost is RO 71. The standard deviation of the population is R.O 3.6. At α =0.01 [level of significance (LOS)], is there any evidence to conclude that the average cost is more than 70?
Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 262.2…
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Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 259.1…
A: Given : Mean , u = 259.1 standard deviation, σ = 67.9
Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 263.9…
A: a) The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…
Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 263.1…
A: μ = 263.1σ = 66.9Normal distributionempirical rule:68-95-99.7% data fall withikn1σ-2σ-3σ of μ…
Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 255.3…
A: Given : mean, u = 255.3 standard deviation , σ = 61.2
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A: Let X be the blood platelet of a group of women. X ~ N(μ, σ) Given mean, μ = 247.8 Standard…
Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.5…
A: μ = 260.5σ = 66.9
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A hotel manager believe that the average cost of a hotel room in Muscat is more than R.O70. To test this, a researcher selects a sample of 35 hotel rooms in Muscat and finds that the average cost is RO 71. The standard deviation of the population is R.O 3.6. At α =0.01 [level of significance (LOS)], is there any evidence to conclude that the average cost is more than 70?
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- Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 32 PlayStation users had an average age of 33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.7 and 3.5 years, respectively. Sony would like to set α = 0.05. The p-value for this hypothesis test would beThe blood platelet counts of a group of women have a bell-shaped distribution with a mean of 245.6 and a standard deviation of 64.4. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 52.4 and 438.8? b. What is the approximate percentage of women with platelet counts between 181.2 and 310.0? a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 52.4 and 438.8. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 181.2 and 310.0. (Type an integer or a decimal. Do not round.)A farmer claims that the average fat content in his chickens is 29 g. A researchertested 36 chickens from this farm and found that the average fat content was30.1g with standard deviation of 3.8 g. Is there enough evidence to reject theclaim at α = 0.1?
- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 251.5 and a standard deviation of 69.1. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8? b. What is the approximate percentage of women with platelet counts between 113.3 and 389.7? a. Approximately% of women in this group have platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 113.3 and 389.7. (Type an integer or a decimal. Do not round.)An electrical engineer wishes to compare the mean lifetimes of two types of transistors in an application involving high-temperature performance. A sample of 60 transistors of type A were tested and were found to have a mean lifetime of 1827 hours and a standard deviation of 174 hours. A sample of 180 transistors of type B were tested and were found to have a mean lifetime of 1658 hours and a standard deviation of 231 hours. Let ux represent the population mean for transistors of type A and µy represent the population mean for transistors of type B. Find a 95% confidence interval for the difference uy – µy . Round the answers to three decimal places. The 95% confidence interval isA person read that the average number of hours an adult sleeps on Friday night to Saturday morning was 6.9 hours. The researcher feels that college students sleep more than 6.9 hours on average. The researcher randomly selected 13 students and found that on average they slept 7.4 hours. The standard deviation of the sample is 1.2 hours. At =α0.10 , is there enough evidence to say that college students sleep more than 6.9 hours on average? Assume that the population is approximately normally distributed. Use the P -value method and tables. Part: 0 / 5 0 of 5 Parts Complete Part 1 of 5 (a) State the hypotheses and identify the claim. This hypothesis test is a _____-tailed test. (b) Compute the test value. Always round t score values to three decimal places. (c) Select the correct interval for the P -value. 0.05 < P-value <0.10 0.01 < P-value <0.025…
- A data set of lumber estimates(dollars) has a mean of 5 and a standard deviation of 4.739, calculate the z-score of 15.321542. Z-Score = [three decimal places]The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.6 and a standard deviation of 62.8. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2? b. What is the approximate percentage of women with platelet counts between 62.2 and 439.0? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 62.2 and 439.0. (Type an integer or a decimal. Do not round.)A researcher claims that the average life span of mice can be extended when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diets are enriched to normal levels by vitamins and protein. Suppose that a sample of 10 mice is fed a normal diet and has anaverage life span of 32.1 months with a standard deviation of 3.2 months, while a sample of 15 mice is fed the restricted diet and has an average life span of 37.6 months with a standard deviation of 2.8 months. Assume the distributions of life spans for the regular and restricted diets are approximately normal withequal variance.(a) State the appropriate hypotheses to test the researcher’s claim.(b) Conduct the test at the 0.05 level of significance. What do you conclude?
- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.4 and a standard deviation of 60.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0? b. What is the approximate percentage of women with platelet counts between 140.0 and 380.8? ..I. a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0. (Type an integer or a decimal. Do not round.)A health professional obtains records for 33 patients who have undergone a certain surgical procedure and finds the average length of stay is 3.23 days with a standard deviation of 1.58 days. Using α=0.10 is there evidence to suggest the actual average length of stay for this surgical procedure is 3 days? The correct conclusion is that we Select an answer: (can, maybe can, cannot) conclude that the average length of stay of Select an answer: (all, sampled, randomly selected) surgeries of this type Select an answer: (is less than, is is different from, is more than) Select an answer: (3.23, 0.85, 3) days.What level of concern do you have for the validity of your results? Moderate - the original data is not normally distributed which is an assumptions violation Low - our sample size is near 30, so while that's likely sufficient for X¯ to be approximately normally distributed, seeing that the original data isn't extremely skewed would make us feel more comfortable Extreme - we…The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 62.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 68.5 and 441.7? b. What is the approximate percentage of women with platelet counts between 192.9 and 317.3? a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 68.5 and 441.7. (Type an integer or a decimal. Do not round.)
