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WorksheetsZ test SY A
Total questions: 25
Worksheet time: 37mins
The weight of the average 6th grade boy is 89 lbs. The principal of the school feeds them steak for first semester to see if their weight changes. What are the null and alternate hypotheses?
H0: μ = 89
H1: μ = 89
H0: μ = 89
H1: μ > 89
H0: μ = 89
H1: μ < 89
H0: μ = 89
H1: μ ≠ 89
Find the critical value(s) for a two-tailed test with α = 0.05
z = -1.64
z = 1.64
z = ±0.06
z = ±1.96
In a recent survey, the average amount of money
students have in their pockets is ₱280.80 with a standard
deviation of ₱62.40. A teacher feels that the average
amount is actually higher. She surveys 80 randomly
selected students and finds the average amount is
₱289. What are the null and alternate hypotheses?
H0: x̄ = ₱280.80
H1: x̄ ≠ ₱280.80
H0: x̄ = ₱280.80
H1: x̄ > ₱280.80
H0: x̄ = ₱280.80
H1: x̄ < ₱280.80
H0: x̄ > ₱280.80
H1: x̄ = ₱280.80
Claim: The average weight of males is greater than 53 kg. Ten male students were selected to test this claim.We also set our α=0.01, x=51, s=4.74, n=10, df=10−1=9
Step 1: What is the alternative hypothesis?
Ha: μ=53
Ha: μ>53
Ha: μ=53
Ha: μ≤53
A manufacturer claims that his tires last at least 40,000
miles. A test on 25 tires reveals that the mean life of a tire
is 39,750 miles, with a standard deviation of 387 miles.
Test the Manufacturer’s claim at α = .01.
Reject Ho
Reject Ha
Fail to reject Ho
Fail to reject Ha
What is the purpose of a one-sample z-test?
To compare two population means
To compare a sample mean to a population mean
To compare two sample means
To compare multiple population means
What is the null hypothesis for a one-sample z-test?
μ ≠ μ0
μ > μ0
μ = μ0
μ < μ0
What conclusion would be made if the z-value is larger than the critical value?
Reject the null hypothesis
Fail to reject the null hypothesis
Increase the sample size
Decrease the significance level
What is represented by x̄ in the z-test equation?
Population mean
Sample mean
Test statistic
Degrees of freedom
If your sample mean is 25, your population average is 5, and your standard error of the mean is 10, what is your observed z value?
5
2.5
−2
2
What is the purpose of a one-sample z-test?
To compare two population means
To compare a sample mean to a population mean
To compare two sample means
To compare multiple population means
What is the null hypothesis for a one-sample z-test?
μ ≠ μ0
μ > μ0
μ = μ0
μ < μ0
In a one-sample z-test, what is being compared to the sample mean?
Another sample mean
The population mean
Nothing, it's just a descriptive statistic
The population standard deviation
What must be known in order to calculate the z-value in a one-sample z-test?
The sample size
The sample standard deviation
The population standard deviation
Both A and C
What conclusion would be made if the z-value is larger than the critical value?
Reject the null hypothesis
Fail to reject the null hypothesis
Increase the sample size
Decrease the significance level
What is represented by x̄ in the z-test equation?
Population mean
Sample mean
Test statistic
Degrees of freedom
The one-sample Z-test is used to compare the ______ to the ______.
mean of a sample; mean of a population
mean of a population; mean of a sample
mean of a sample; mean of a second sample
mean of a population; mean of a second population
After conducting a one-sample Z-test, you arrived at a value of 5.7 for the z value. What is your conclusion?
reject the null hypothesis
fail to reject the null hypothesis
the result is too close to call
one of these
After conducting a one-sample Z-test, you arrived at a value of −12.5 for the z value. What is your conclusion?
reject the null hypothesis
fail to reject the null hypothesis
the result is too close to call
none of these
After the z value is calculated, the ______ is gathered from a table of z scores.
obtained value
test value
calculated value
critical value
After conducting a one-sample Z-test, you arrived at a value of 0.2 for the z value. What is your conclusion?
reject the null hypothesis
fail to reject the null hypothesis
the result is too close to call
none of these
In a recent survey, the average amount of money
students have in their pockets is $5.40 with a standard
deviation of $1.20. A teacher feels that the average
amount is actually higher. She surveys 80 randomly
selected students and finds the average amount is
$5.50. At α = 0.05, test the teacher’s claim that the
average amount of money is actually higher than $5.40.
There is enough evidence to reject the claim
There is not enough evidence to reject the claim
There is enough evidence to support the claim
There is not enough evidence to support the claim
When Do we use Z-Test for Two-Sample mean?
When we compare the means of samples of dependent groups taken from a normal population
When we compare the means of samples of independent groups taken from a normal population
A study found that 11 out of 44 randomly selected adults said they agree that toddlers should not be taken out to eat at a restaurant. It was previously believed that 30% of adults agree that toddlers should not be taken out to eat at a restaurant. I there evidence to suggest an decrease in this rate? Find the z-score.
-0.766
0.766
-0.724
0.724
In a random sample of 60 shoppers chosen from the shoppers at a large mall, 36 indicated that they had been to a movie in the past month. In an independent random sample of 50 shoppers chosen from the shoppers in the downtown shopping area, 31 indicated that they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the mall who had been to a movie in the past month is the same as the proportion of shoppers in the downtown shopping area who had been to a movie in the past month?
One proportion z-test
One sample z-test for a mean
One sample t-test for a mean
Two proportion z-test
Two sample t-test for means
