# Statistics Final

### 99 terms by Kornice

#### Study  only

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True

True

### The term Z ∝⁄2 ( σ/√n) describes

maximum error of estimate

### the formula for the confidence interval of the mean for a specific ∝ is

x̄ - z ∝⁄2 ( σ/√n)<μ<x̄ + z ∝⁄2 ( σ/√n)

1.65

235.4<μ<245.8

11.4<μ<16.2

481<μ<569

5.04<μ<5.36

0.02

90%

False

True

### In a study using 13 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is

a t-distribution with 12 degrees of freedom

1.80

136.6<μ<147.7

52.1<μ<68.5

p̂=0.32, q^=0.68

31.2%<p<56.8%

0.146<p<0.425

260

356

0.15

1.00

### In order to find confidence interval for variances and standard deviation, one must assume that the variable is

normally distributed

7.564

24.725

6.908 and 28.845

### Are the following statements Ho:=9 and H1: ≠9 valid null and alternative hypothesis Ho:λ=9 and H1:λ<9 a valid pair of null and alternative hypothesis

No, there are no parameters contained in these statements

### Are the following statements Ho:λ=9 and H1:λ<9 a valid pair of null and alternative hypothesis

Yes, the null hypothesis specifies an equality and alternative specifies a difference

test value

True

False

False

H1: μ > k

True

+ or - 1.69

-2.17

+ or - 2.17

### For the conjecture " the average rent of an apartment is more than \$950 per month," the alternative hypothesis is

the average rent of an apartment is greater than \$950 per month.

### For conjecture "the average weight of a cuckoo bird is less than 2.2 pounds", the null and alternative hypothesis are

H0: the average weight of a cuckoo bird is equal to 2.2 pounds H1: the average weight of a cuckoo bird is less than 2.2 pounds

0.50

True

- 0.33

1.86

### The average greyhound can reach a top speed of 18.9 meters per second. A particular greyhound breeder claims her dogs are faster than the average greyhound. A sample of 40 of her dogs ran on average, 19.5 meters per second with a population standard deviation of 1.5 meters per second. With ∝ =0.05 is her claim correct?

Yes, because the test value 2.53 falls in the critical region

2.552

2.179

0.0649

+ or - 2.131

0.30

+ or - 2.201

-2.17

### A political strategist claims that 55% of voters in Madison County support his candidate. In a poll of 300 randomly selected voters, 147 of them support strategist's candidate. At ∝ =0.05 is the political strategist claim warranted?

No, because the test value -2.09 is in the critical region

### A scientist claims that only 64% of geese in his area fly south for the winter. He tags 55 random geese in the simmer and finds that 17 of them do not fly south in the winter. If ∝ 0.05 is, the scientist belief warranted?

Yes because the test value 0.79 is in the noncritical region

0.70

### If the null hypothesis H0: μ=15 is not rejected at ∝ =0.05 when a mean of 15 is obtained from a random sample, one could say that the

95% confidence interval for the population mean contains the value 16

### Assume that a 99% confidence interval for the mean is 14.5 < μ <17.5. the null hypothesis H0: μ=13.0 at ∝ =0.01would

be rejected because 14 is less than 16

### Assume that a 95% confidence interval for the mean is 11.5 < μ <16. the null hypothesis H0: μ=13.0 at ∝ =0.05 would

be rejected because 14 is between 13.5 and 15

### If the null hypothesis H0: μ=14.0 is rejected at ∝ =0.01when a mean of 19 is obtained from a random sample, one could also say that the

99% confidence interval for the population mean does not contain the value 16.

### If the test value for the difference between the means of two large samples is 2.57 when the critical value is 1.96 what decision would be made?

Reject the null hypothesis (picture)

True (picture)

True

True

H0: μ1= μ2

I and III

13

-2.365

True

### The two variables in a scatter plot are called the

independent variable and dependent variable

Positive

### Daniel Wiseman for Gres Trans Corp. wants to determine if the flow rate of particular material changes with different changes in temperature. The data plotted in (picture) what type of relationship exists between the flow rate and the change in temperature.

There is no relationship

False

mean

True

True

4.6

-8

7

16

-7

11.7

62.4%

13.5%

False

0.372

1.64

1.96

2.58

1.28

μ

σ

s

σ²

ρ

r

Example: