An earlier statistics class used to have a lab. During lab students would count corn kernels. Here are some counts for corn kernels: purple round: 212 purple wrinkled: 87 yellow round: 85 yellow wrinkled: 19 Is there any reason to doubt the expected ration of 9:3:3:1 (the counts above are given in order)

There is no reason to doubt the expected ratio of 9:3:3:1.

Step-by-step explanation:

A Chi-square test for goodness of fit will be used in this case.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

The information provided is:

Counts for corn kernels:

Purple round: 212

Purple wrinkled: 87

Yellow round: 85

Yellow wrinkled: 19

TOTAL: 403

The expected ratio is, 9 : 3 : 3 : 1

Compute the expected count of corn kernels as follows:

E (Purple round)

E (Purple wrinkled)

E (Yellow round)

E (Yellow wrinkled)

Compute the test statistic as follows:

The test statistic value is, 5.382.

The degrees of freedom of the test is:

n - 1 = 4 - 1 = 3

Compute the p-value of the test as follows:

p-value = 0.1459

The p-value of the test is very large. So, the null hypothesis will not be rejected at any commonly used significance level.

Thus, concluding that the there is no reason to doubt the expected ratio of 9:3:3:1.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles