Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−0.93 ≤ z ≤ 0)

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) ? = 14.4; ? = 4.4 P(10 ≤ x ≤ 26) =

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)   ? = 14.2; ? = 3.9 P(10 ≤ x ≤ 26) =

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)   ? = 15.4; ? = 4.1 P(10 ≤ x ≤ 26) =

X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) ? = 56, ? = 10, find  P(36 ≤ X ≤ 66)

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). 91 88 80 103 97 110 86 89 The sample mean is x ≈ 93.0. 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 ? = 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)What is the level of significance?   State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: ? > 85; H1: ? = 85; right-tailed H0: ? = 85; H1: ? < 85; left-tailed     H0: ? = 85; H1: ? ≠ 85; two-tailed H0: ? = 85; H1: ? > 85; right-tailed   (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The…

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.)

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) u = 51; o = 16 P(40 s x S 47) =

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 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 o = 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 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? H₁:μ >85; H₁: μ = 85; right-tailed 107 99 108 82 91 ⒸH₁: μ = 85; H₁: μ 85; two-tailed H₁: μ = 85; H₁: >85; right-tailed H₁: μ = 85; H₁₂ : μ< 85; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n is large with unknown…