Ifthe test statistic for a left-tailed test is z = -1.72, then P-value is 0.9518.

True

False

Assumethat the data has a normal distribution and the number of observations is greater than fifty. With a confidence level = 0.05 for a right-tailed test, the criticalvalue used to test a null hypothesis is 1.645.

True

False

If a regression equation is = 2x, then slope of this line is equal to 2.

True

False

If calculated |r| > critical value ofr,then there is a linear correlation between the variables.

True

False

If a fitted linear regression equation between the variablesxandyis=8-x, then the predicted value ofyatx =- 2is equal to 6.

True

False

Ifr= 0.8, thenr²= 0.64, which means that 64% of the total variation in y is explained by regression line.

True

False

Thealternative hypothesis for the following claim:"A car Company claims that its new SUV car will average at least 50 miles per gallon in the city" is H₁: > 50.

True

False

For a hypothesis test about a population mean, if the level of significance is 0.05 and the P-value is 0.50, then we fail to reject the null hypothesis.

True

False

The null Hypothesis is rejected, if the P-value is larger than significance level.

True

False

A null hypothesis is that the mean weight of men and women are same and the alternative hypothesis is that men have more mean weight than women. The correct way to state the null hypothesis is

True

False

A simple random sample of 196 adults is obtained and each person's white blood cell count(in cells per microliter) is measured. The sample mean is 7.35 and the sample standard deviation is 0.50. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 7.45, the calculated value of t-test statistic is

(Given that H₀: = 7.45, H₁: < 7.45)

2.800

-4.089

-2.800

3.396

When carrying out a large sample test of H0: ₀= 50, H_a: ₀>50, we reject H0at level of significance when the calculated test statistic is:

Less than -z

Greater than z_/2

Greater thanz

Less thanz

Four students took a statistics test before and after coaching, but coaching did not affectthe scores of students i.e. mean change in scores is zero. Their scores are as follows:

Students

A

B

C

D

Before

62

88

64

70

After

60

89

60

74

Find the value oftest statistic-tfor matched pairs, if S_d=2.(Round off up to 2 decimal places)

0.25

3.25

1.25

2.25

From the following data:n=6;x = 8;y = 8;x²=64;y²=64;xy= 64

The value of linear correlation coefficient is

0

-1.5

-1

1

If the variables x and y have a strong positive linear correlation, then

r is close to 1

r = 0

r is close to-1

r = 2

A company claims that the proportion of employees who are satisfied with their jobs is more than 0.70. From a randomly selected sample of 500 workers, 400 are saying that they are satisfied with their jobs. Calculate the z-test statistic to test the claim (Round off up to 3 decimal places)

2.353

6.712

4.879

-4.879

The maker of Surya bulbs wants to demonstrate that their bulbs last on an average of at least 100 hours longer thanOrtanbulbs. Two independent random samples of 100 bulbs of each kind are selected. The sample average lives for Surya bulbs found to be 1550 hours and forOrtanbulbs is 2020 hours.Assume that the standard deviations₁is 75 and the standard deviations₂is 60respectively.Find the test Statistic F to test this claim (Round off up to 3 decimal places)

0.653

1.306

1.562

0.932

Supposethe alternative hypothesis for a particular test is given by H₁: p 0.50. What is the P-value for this test if the calculatedtest statistic z = 1.35.

0.9115

0.1770

0.2010

0.0885

When carrying out a large sample test of H0: ₀= 50, H_a: ₀< 50, we reject H0at level of significance when the calculated test statistic is:

Greater than z_/2

Greater thanz

Less thanz

Less than -z

If the regression equation is given by 4x -y + 5 = 0, then the slope of regression line ofyonxis

4

-4

2

3