Find the probability of obtaining a reading less than 0.073°C
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…
A: Solution: Let X be the pulse rate of females. From the given information, X follows normal…
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Q: Assume that females have pulse rates that are normally distributed with a mean of u=75.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…
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Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of u =72.0 beats per…
A: Given, Mean = 72 Standard deviation = 12.5 The objective is to find the required probability.
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per…
A: Given that The pulse rates are normally distributed. Mean = 72 beats per minute. standard deviation…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per…
A: It is given that mean and standard deviation are 76.0 and 12.5, respectively.
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- A single toss of a fair coin results in either 0 or 1 head, each with probability 1/2. Define H = number of headsobtained on a single toss. The mean of H is µH= 0.5 and the standard deviation of H is σ H= 0.5 . Suppose youtoss a fair coin four times. Define T = total number of heads obtained. Find the mean and standard deviation ofT.The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 32 liters, and standard deviation of 6.8 liters. Let X be the production of a randomly selected cow in liters. a. What is the distribution of X? X - N✓ o 32 ✓ 0° 6.8 Please show the following answers to 4 decimal places. b. If a cow is randomly chosen, find the probability that its production is more than 28.6 liters. c. If a cow is randomly chosen, find the probability that its production is between 35.4 and 38.8 liters. Please show the following answer to 1 decimal place. d. The 79th percentile of the milk production is how many liters?Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute. The probability is. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the…
- Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is 0.6844. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is (Round to four decimal places as needed.)Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)67°F Cloudy BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose we have good reason to believe that u is less than 3000 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2840 hours and that the sample standard deviation of the lifetimes is 750 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? 0 H₂:0 H₁ (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one) ▼ (c) Suppose the true mean lifetime of BIG's light bulbs is 2820 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, μ is (Choose one) Explanation Check 9 DALL μχ 0O #0 Españ ? Aa 2022 McGraw Hill…
- Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is 0.7123. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is 0.9974. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of…S2. Assume that x₁,...,10 € R satisfy ₁₁ = 3 and ΣΩ1x? standard deviation of ₁,... , X10? i=1 i=1 (This question appeared as is in May 2018 exam) = 10. What is the sampleAssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 5.66% from the rest? That is, if P(z > c) = 0.0566, find c. с — °C
- Ciestion Help If np 25 and nq 25, estimate P(fewer than 7) with n 14 and p 0.5 by using the normal distribution as an approximation to the binomial distribution, if np 5 or nq<5, then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(fewer than 7) (Round to four decimal places as needed.) O B. The normal approximation is not suitable. Click to select and enter your answer(s) and then click Check Answer. Check Answer Clear All All parts showing LQ:If the normal operating life Q: The following data gives the number ant to obtain a sample to -1:-. a OHH here to searchAssume that females have pulse rates that are normally distributed with a mean of u= 74.0 beats per minute and a standard deviation ofo = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 67 beats per minute and 81 beats per minute. The probability is. (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute. The probability is. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the…