Question 3 If z is a standard normal variable, find the probability that z lies between -1.10 and -0.36. O 0.2237 0.2239 0.4951 O -0.2237

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 95 88 80 107 101 108 84 87 The sample mean is x ≈ 93.8. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that ? = 12.5. The mean glucose level for horses should be ? = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 0.05.   (a) Compute the z value of the sample statistic. (Round your answer to two decimal places.)   (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)

If  z  is a standard normal variable, find the probability. P<−0.77<z2.25     0.8415     0.7671     0.7916     0.8264

Suppose X is a normal random variable with mean ? = 100 and standard deviation ? = 10. Find a such that  P(X ≥ a) = 0.03.  (Round your answer to one decimal place.)a =

Suppose x is a normally distributed random variable with mean u =0 and standard deviation o = 1. Find the probability that x < 0.64. O 73.89% 76.11% 23.89% O 26.11%

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 93 87 81 103 101 111 83 89 The sample mean is x = 93.5. Let x be a random variable representing glucose eadings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate hat Gentle Ben has an overall average glucose level higher than 85? Use = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H = 85; H1: µ 85; right-tailed O Ho: H > 85; H1: µ = 85; right-tailed O Ho: H = 85; H1: µ ± 85; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution with…

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 95 86 82 105 97 112 86 89 The sample mean is x ≈ 94.0. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that σ= 12.5. The mean glucose level for horses should be μ= 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 0.05.   (a) Compute the z value of the sample statistic. (Round your answer to two decimal places.)   (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Find the probability that a standard normal variable z falls between 0.10 and 0.31. (Provide your answer as a number between 0 and 1, rounded to 4 decimals.)

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 95 86 80 103 99 110 82 87 The sample mean is x = 92.8. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 85; H,: µ + 85; two-tailed O Ho: H = 85; H,: µ > 85; right-tailed O Ho: H = 85; H,: u 85; H,: u = 85; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal…

If z is a standard normal variable, find the probability. P(Z < 0.97) O 0.1660 0.8340 O 0.8078 0.8315