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Statistics · Studypool

5 Q about statics

Overview

Q1:You are given the following hypothesis test:

H0: μ=100

H1: μ ≠ 100

The calculated test statistic z = –1.0, and the critical value of z = ±1.97. Then, the decision would be to:

Reject H0 since z < –1.97

Reject H0 since –1.97 < z < 1.97

Fail to reject H0 since z < –1.97

Fail to reject H0 since –1.97 < z < 1.97

Q2: With 0.05 significance level, H1: p > 0.5, and the value of test statistics is z = 1.86, then the P-value is equal to?


Q3: The null hypothesis and the alternative hypothesis for the following claim: “Maruti motor company claims that its new SUV, the Vista II, will average more than 40 miles per gallon in the city” are:

H0 : µ > 40, H1: µ ≤ 40

H0 : µ = 40, H1: µ > 40

H0 : µ < 40, H1: µ ≥ 40

H0 : µ = 40, H1: µ < 40

Q4 The residual is defined as the sum of the observed value and the predicted value by using regression. T or F

Q5 Area of rejection region depends on

P-value

Test- Statistic

Size of β

Size of α