Let μ denote the mean reaction time to a certain stimulus. For a large-sample z test...

Let μ denote the mean reaction time to a certain stimulus. For a large-sample z test of H₀: μ = 5 versus H_a: μ > 5, find the P-value associated with each of the given values of the z test statistic. (Round your answers to four decimal places.)

(a)    1.38
(b)    0.92
(c)    1.88
(d)    2.44
(e)    −0.26

Solutions

Expert Solution

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 : = 5

Ha : > 5

a ) Test statistic = z =1.38

P(z > 1.38 ) = 1 - P(z < 1.38 ) = 1 - 0.9162

P-value = 0.0838

b ) Test statistic = z = 0.92

P(z > 0.92 ) = 1 - P(z < 0.92 ) = 1 - 0.8212

P-value = 0.1788

c ) Test statistic = z = 1.88

P(z > 1.88 ) = 1 - P(z < 1.88 ) = 1 - 0.9699

P-value = 0.0301

d ) Test statistic = z = 2.44

P(z > 2.44 ) = 1 - P(z < 2.44 ) = 1 - 0.9927

P-value = 0.0073

e ) Test statistic = z =−0.26

P(z > −0.26 ) = 1 - P(z < −0.26 ) = 1 - 0.3974

P-value = 0.6026

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A one-sample z-test for a population mean is to be performed. Let z 0 denote the...

A one-sample z-test for a population mean is to be performed. Let z 0 denote the observed value of the test statistic, z. Assume that a two-tailed test is being performed. True or false: If z0 is negative, the P-value is twice the area under the standard normal curve to the right of z0. 2) A) True B) False

Let z denote a random variable having a normal distribution with μ = 0 and σ...

Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z < 0.2) = (b) P(z < -0.2) = (c) P(0.40 < z < 0.86) = (d) P(-0.86 < z < -0.40) = (e) P(-0.40 < z < 0.86) = (f) P(z > -1.24) = (g) P(z < -1.5 or z > 2.50) =

Let z denote a random variable having a normal distribution with μ = 0 and σ...

Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the following probabilities. (Round all answers to four decimal places.) (a) P(z < 0.1) = (b) P(z < −0.1) = (c) P(0.40 < z < 0.85) = (d) P(−0.85 < z < −0.40) = (e) P(−0.40 < z < 0.85) = (f) P(z > −1.25) = (g) P(z < −1.5 or z > 2.50) = Let z denote a...

Let μ denote the true average lifetime for a certain type of pen under controlled laboratory...

Let μ denote the true average lifetime for a certain type of pen under controlled laboratory conditions. A test of H0: μ = 10 versus Ha: μ < 10 will be based on a sample of size 36. Suppose that σ is known to be 0.6, from which σx = 0.1. The appropriate test statistic is then Answer the following questions using Table 2 in Appendix A. (a) What is α for the test procedure that rejects H0 if z...

The one-sample z-test and the one-sample t-test both test if a sample mean is representative of...

The one-sample z-test and the one-sample t-test both test if a sample mean is representative of a population. What is the difference between these two tests?

Let z denote a variable that has a standard normal distribution. Determine the value z* to...

Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Round all answers to two decimal places.) (a) P(z < z*) = 0.0244 z* = (b) P(z < z*) = 0.0097 z* = (c) P(z < z*) = 0.0484 z* = (d) P(z > z*) = 0.0208 z* = (e) P(z > z*) = 0.0097 z* = (f) P(z > z* or z < −z*) = 0.2043 z* =

Let Z denote the set of all integers. Give an explicit bijection f : Z →...

Let Z denote the set of all integers. Give an explicit bijection f : Z → N

One sample T hypothesis test: μ : Mean of variable H0 : μ = 50 HA...

One sample T hypothesis test: μ : Mean of variable H0 : μ = 50 HA : μ ≠ 50 Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value Optimism Score 44.534 0.33089021 999 -16.519074 <0.0001 State the null and alternative hypothesis. The null hypothesis states that women in poor urban settings are as optimistic as other women nationally. The alternative hypothesis states that there is a difference in optimism between women in poor urban settings and other...

Let ?̅ = sample mean in a SRS of ? objects from a large population. For...

Let ?̅ = sample mean in a SRS of ? objects from a large population. For each of the following, find ?(?̅), ???(?̅), ??(?̅) and indicate whether a normal distribution would be a good approximation to the shape. a. severely right-skewed population, ? = 183, ? = 106, ? = 35 b. normal population, ? = 515, ? = 116, ? = 50 c. symmetric, unimodal population, ? = 10, ? = 3, ? = 14 d. mildly left-skewed population,...

Let z denote a random variable having a normal distribution with ? = 0 and ?...

Let z denote a random variable having a normal distribution with ? = 0 and ? = 1. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z < 0.3) = (b) P(z < -0.3) = (c) P(0.40 < z < 0.85) = (d) P(-0.85 < z < -0.40) = (e) P(-0.40 < z < 0.85) = (f) P(z > -1.26) = (g) P(z < -1.5 or z > 2.50) =

Subjects